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1

Wang, Kang L., Yingying Wu, Christopher Eckberg, Gen Yin, and Quanjun Pan. "Topological quantum materials." MRS Bulletin 45, no. 5 (2020): 373–79. http://dx.doi.org/10.1557/mrs.2020.122.

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2

Liu, Bing, and Wenjun Zhang. "Research Progress of Topological Quantum Materials: From First-Order to Higher-Order." Symmetry 15, no. 9 (2023): 1651. http://dx.doi.org/10.3390/sym15091651.

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The exploration of topologically nontrivial states in condensed matter systems, along with their novel transport properties, has garnered significant research interest. This review aims to provide a comprehensive overview of representative topological phases, starting from the initial proposal of the quantum Hall insulator. We begin with a concise introduction, followed by a detailed examination of first-order topological quantum phases, including gapped and gapless systems, encompassing relevant materials and associated phenomena in experiment. Subsequently, we delve into the realm of exotic
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Wu, Junjie, Ying Zhang, and Bin Xiang. "Synthesis, Properties and Applications of Topological Quantum Materials." JUSTC 53 (2023): 1. http://dx.doi.org/10.52396/justc-2023-0024.

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Since topological quantum materials may possess interesting properties and promote the application of electronic devices, the search for new topological quantum materials has become the focus and frontier of condensed matter physics. Currently, it has been found that there are two interesting systems in topological quantum materials, topological superconducting materials and topological magnetic materials. Although research on these materials has made rapid progress, a systematic review of their synthesis, properties, and applications, particularly their synthesis, is still lacking. In this pa
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Scappucci, G., P. J. Taylor, J. R. Williams, T. Ginley, and S. Law. "Crystalline materials for quantum computing: Semiconductor heterostructures and topological insulators exemplars." MRS Bulletin 46, no. 7 (2021): 596–606. http://dx.doi.org/10.1557/s43577-021-00147-8.

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AbstractHigh-purity crystalline solid-state materials play an essential role in various technologies for quantum information processing, from qubits based on spins to topological states. New and improved crystalline materials emerge each year and continue to drive new results in experimental quantum science. This article summarizes the opportunities for a selected class of crystalline materials for qubit technologies based on spins and topological states and the challenges associated with their fabrication. We start by describing semiconductor heterostructures for spin qubits in gate-defined q
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Swan, Melanie, Renato P. Dos Santos, and Frank Witte. "Quantum Matter Overview." J 5, no. 2 (2022): 232–54. http://dx.doi.org/10.3390/j5020017.

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Quantum matter (novel phases of matter at zero temperature with exotic properties) is a growing field with applications in its own domain, and in providing foundational support to quantum sciences fields more generally. The ability to characterize and manipulate matter at the smallest scales continues to advance in fundamental ways. This review provides a plain-language, non-technical description of contemporary activity in quantum matter for a general science audience, and an example of these methods applied to quantum neuroscience. Quantum matter is the study of topologically governed phases
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6

Victor, Hammed, Edet Eyo Daniel, Oluwanisola Omoloja Taiwo, Ibukun Kolawole Michael, Adeyemi Adeola, and A. Kudoro Tolulope. "A review of quantum materials for advancement in nanotechnology and materials science." World Journal of Advanced Research and Reviews 23, no. 2 (2024): 1991–97. https://doi.org/10.5281/zenodo.14869056.

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Quantum materials, characterized by their novel quantum mechanical properties, are at the forefront of scientific research, driving significant advancements in nanotechnology and materials science. These materials exhibit a range of extraordinary properties, such as superconductivity, topological states, and quantum entanglement, which make them highly relevant for developing next-generation technologies. This paper provides a comprehensive review of quantum materials, focusing on their applications in nanotechnology and materials science. A case study of topological insulators is presented to
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7

Kumar, Prashant, Ravi Kumar, Sanjeev Kumar, et al. "Interacting with Futuristic Topological Quantum Materials: A Potential Candidate for Spintronics Devices." Magnetochemistry 9, no. 3 (2023): 73. http://dx.doi.org/10.3390/magnetochemistry9030073.

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Spintronics, also known as magneto-electronics or spin transport electronics, uses the magnetic moment of the electron due to intrinsic spin along with its electric charge. In the present review, the topological insulators (2D, 3D, and hydride) were discussed including the conducting edge of 2D topological insulators (TIs). Preparation methods of TIs along with fundamental properties, such as low power dissipation and spin polarized electrons, have been explored. Magnetic TIs have been extensively discussed and explained. Weyl phases, topological superconductors, and TIs are covered in this re
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8

Puzantian, Benjamin, Yasser Saleem, Marek Korkusinski, and Pawel Hawrylak. "Edge States and Strain-Driven Topological Phase Transitions in Quantum Dots in Topological Insulators." Nanomaterials 12, no. 23 (2022): 4283. http://dx.doi.org/10.3390/nano12234283.

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We present here a theory of the electronic properties of quasi two-dimensional quantum dots made of topological insulators. The topological insulator is described by either eight band k→·p→ Hamiltonian or by a four-band k→·p→ Bernevig–Hughes–Zhang (BHZ) Hamiltonian. The trivial versus topological properties of the BHZ Hamiltonian are characterized by the different topologies that arise when mapping the in-plane wavevectors through the BHZ Hamiltonian onto a Bloch sphere. In the topologically nontrivial case, edge states are formed in the disc and square geometries of the quantum dot. We accoun
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9

Hussien, Musa A. M., and Aniekan Magnus Ukpong. "Electrodynamics of Topologically Ordered Quantum Phases in Dirac Materials." Nanomaterials 11, no. 11 (2021): 2914. http://dx.doi.org/10.3390/nano11112914.

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First-principles calculations of the electronic ground state in tantalum arsenide are combined with tight-binding calculations of the field dependence of its transport model equivalent on the graphene monolayer to study the emergence of topologically ordered quantum states, and to obtain topological phase diagrams. Our calculations include the degrees of freedom for nuclear, electronic, and photonic interactions explicitly within the quasistatic approximation to the time-propagation-dependent density functional theory. This field-theoretic approach allows us to determine the non-linear respons
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10

Chang, Tay-Rong, Qiangsheng Lu, Xiaoxiong Wang, et al. "Band Topology of Bismuth Quantum Films." Crystals 9, no. 10 (2019): 510. http://dx.doi.org/10.3390/cryst9100510.

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Bismuth has been the key element in the discovery and development of topological insulator materials. Previous theoretical studies indicated that Bi is topologically trivial and it can transform into the topological phase by alloying with Sb. However, recent high-resolution angle-resolved photoemission spectroscopy (ARPES) measurements strongly suggested a topological band structure in pure Bi, conflicting with the theoretical results. To address this issue, we studied the band structure of Bi and Sb films by ARPES and first-principles calculations. The quantum confinement effectively enlarges
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11

Oreg, Yuval, and Felix von Oppen. "Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation." Annual Review of Condensed Matter Physics 11, no. 1 (2020): 397–420. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013618.

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Recent experimental progress introduced devices that can combine topological superconductivity with Coulomb-blockade effects. Experiments with these devices have already provided additional evidence for Majorana zero modes in proximity-coupled semiconductor wires. They also stimulated numerous ideas for how to exploit interactions between Majorana zero modes generated by Coulomb charging effects in networks of Majorana wires. Coulomb effects promise to become a powerful tool in the quest for a topological quantum computer as well as for driving topological superconductors into topologically or
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12

Victor Hammed, Daniel Edet Eyo, Taiwo Oluwanisola Omoloja, Michael Ibukun Kolawole, Adeola Adeyemi, and Tolulope A. Kudoro. "A review of quantum materials for advancement in nanotechnology and materials science." World Journal of Advanced Research and Reviews 23, no. 2 (2024): 1991–97. http://dx.doi.org/10.30574/wjarr.2022.23.2.2547.

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Quantum materials, characterized by their novel quantum mechanical properties, are at the forefront of scientific research, driving significant advancements in nanotechnology and materials science. These materials exhibit a range of extraordinary properties, such as superconductivity, topological states, and quantum entanglement, which make them highly relevant for developing next-generation technologies. This paper provides a comprehensive review of quantum materials, focusing on their applications in nanotechnology and materials science. A case study of topological insulators is presented to
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13

Rider, Marie S., Maria Sokolikova, Stephen M. Hanham, et al. "Experimental signature of a topological quantum dot." Nanoscale 12, no. 44 (2020): 22817–25. http://dx.doi.org/10.1039/d0nr06523d.

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14

Satzinger, K. J., Y. J. Liu, A. Smith, et al. "Realizing topologically ordered states on a quantum processor." Science 374, no. 6572 (2021): 1237–41. http://dx.doi.org/10.1126/science.abi8378.

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Synthesizing topological order Topologically ordered matter exhibits long-range quantum entanglement. However, measuring this entanglement in real materials is extremely tricky. Now, two groups take a different approach and turn to synthetic systems to engineer the topological order of the so-called toric code type (see the Perspective by Bartlett). Satzinger et al . used a quantum processor to study the ground state and excitations of the toric code. Semeghini et al . detected signatures of a toric code–type quantum spin liquid in a two-dimensional array of Rydberg atoms held in optical tweez
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15

Semeghini, G., H. Levine, A. Keesling, et al. "Probing topological spin liquids on a programmable quantum simulator." Science 374, no. 6572 (2021): 1242–47. http://dx.doi.org/10.1126/science.abi8794.

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Synthesizing topological order Topologically ordered matter exhibits long-range quantum entanglement. However, measuring this entanglement in real materials is extremely tricky. Now, two groups take a different approach and turn to synthetic systems to engineer the topological order of the so-called toric code type (see the Perspective by Bartlett). Satzinger et al . used a quantum processor to study the ground state and excitations of the toric code. Semeghini et al . detected signatures of a toric code–type quantum spin liquid in a two-dimensional array of Rydberg atoms held in optical tweez
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16

Rodriguez-Vega, Martin, Maia G. Vergniory, and Gregory A. Fiete. "Quantum materials out of equilibrium." Physics Today 75, no. 5 (2022): 42–47. http://dx.doi.org/10.1063/pt.3.5001.

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17

He, Ke, Yayu Wang, and Qi-Kun Xue. "Topological Materials: Quantum Anomalous Hall System." Annual Review of Condensed Matter Physics 9, no. 1 (2018): 329–44. http://dx.doi.org/10.1146/annurev-conmatphys-033117-054144.

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18

Xiao, Xiao, J. K. Freericks, and A. F. Kemper. "Robust measurement of wave function topology on NISQ quantum computers." Quantum 7 (April 27, 2023): 987. http://dx.doi.org/10.22331/q-2023-04-27-987.

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Topological quantum phases of quantum materials are defined through their topological invariants. These topological invariants are quantities that characterize the global geometrical properties of the quantum wave functions and thus are immune to local noise. Here, we present a strategy to measure topological invariants on quantum computers. We show that our strategy can be easily integrated with the variational quantum eigensolver (VQE) so that the topological properties of generic quantum many-body states can be characterized on current quantum hardware. We demonstrate the robust nature of t
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19

Tambasco, Jean-Luc, Giacomo Corrielli, Robert J. Chapman, et al. "Quantum interference of topological states of light." Science Advances 4, no. 9 (2018): eaat3187. http://dx.doi.org/10.1126/sciadv.aat3187.

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Topological insulators are materials that have a gapped bulk energy spectrum but contain protected in-gap states appearing at their surface. These states exhibit remarkable properties such as unidirectional propagation and robustness to noise that offer an opportunity to improve the performance and scalability of quantum technologies. For quantum applications, it is essential that the topological states are indistinguishable. We report high-visibility quantum interference of single-photon topological states in an integrated photonic circuit. Two topological boundary states, initially at opposi
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20

Lin, Zhi. "Progress Review on Topological Properties of Heusler Materials." E3S Web of Conferences 213 (2020): 02016. http://dx.doi.org/10.1051/e3sconf/202021302016.

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Starting from crystal, electronic and magnetic structures of Heusler compounds, this paper studies the new topological materials related to Heusler compounds and their topological properties, such as anomalous Hall effect, skyrmions, chiral anomaly, Dirac fermion, Weyl fermion, transverse Nernst thermoelectric effect, thermal spintronics and topological surface states. It can be discovered that the topological state of Heusler compound can be well protected due to its high symmetry, thus producing rich topological properties. Heusler materials belonged to Weyl semimetals usually have strong an
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21

Jiang, Zhen, Yizhou Ding, Chaoxiang Xi, Guangqiang He, and Chun Jiang. "Topological protection of continuous frequency entangled biphoton states." Nanophotonics 10, no. 16 (2021): 4019–26. http://dx.doi.org/10.1515/nanoph-2021-0371.

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Abstract Topological quantum optics that manipulates the topological protection of quantum states has attracted special interests in recent years. Here we demonstrate valley photonic crystals implementing topologically protected transport of the continuous frequency entangled biphoton states. We numerically simulate the nonlinear four-wave mixing interaction of topological valley kink states propagating along the interface between two valley photonic crystals. We theoretically clarify that the signal and idler photons generated from the four-wave mixing interaction are continuous frequency ent
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22

Chanda, Titas, Rebecca Kraus, Giovanna Morigi, and Jakub Zakrzewski. "Self-organized topological insulator due to cavity-mediated correlated tunneling." Quantum 5 (July 13, 2021): 501. http://dx.doi.org/10.22331/q-2021-07-13-501.

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Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is instead only partially understood how interactions affect topological properties. Here, we discuss a model where topology emerges from the quantum interference between single-particle dynamics and global interactions. The system is composed by soft-core bosons that interact via global correlated hopping in a one-dimensional lattice. The onset of quantum interfer
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23

Tiwari, Anil. "Topological Insulators: Novel Phases of Matter with Unique Electronic Properties." International Journal for Research in Applied Science and Engineering Technology 12, no. 3 (2024): 1210–16. http://dx.doi.org/10.22214/ijraset.2024.59039.

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Abstract: Topological insulators represent a fascinating class of materials that have garnered significant attention in the field of condensed matter physics. These unique materials exhibit insulating behavior in their bulk, while simultaneously possessing conducting surface or edge states that are topologically protected against backscattering and immune to certain types of disorder. This intriguing combination of properties arises from the intricate interplay between topology, the geometrical properties of quantum wavefunctions, and the electronic band structure of the material. Topological
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24

Xiao, Jiewen, and Binghai Yan. "First-principles calculations for topological quantum materials." Nature Reviews Physics 3, no. 4 (2021): 283–97. http://dx.doi.org/10.1038/s42254-021-00292-8.

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25

Lee, Stephen R., Peter A. Sharma, Ana L. Lima-Sharma, Wei Pan, and Tina M. Nenoff. "Topological Quantum Materials for Realizing Majorana Quasiparticles." Chemistry of Materials 31, no. 1 (2018): 26–51. http://dx.doi.org/10.1021/acs.chemmater.8b04383.

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26

Ngabonziza, Prosper. "Quantum transport and potential of topological states for thermoelectricity in Bi2Te3 thin films." Nanotechnology 33, no. 19 (2022): 192001. http://dx.doi.org/10.1088/1361-6528/ac4f17.

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Abstract This paper reviews recent developments in quantum transport and it presents current efforts to explore the contribution of topological insulator boundary states to thermoelectricity in Bi2Te3 thin films. Although Bi2Te3 has been used as a thermoelectric material for many years, it is only recently that thin films of this material have been synthesized as 3D topological insulators with interesting physics and potential applications related to topologically protected surface states. A major bottleneck in Bi2Te3 thin films has been eliminating its bulk conductivity while increasing its c
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27

Deng, Jinfeng, Hang Dong, Chuanyu Zhang, et al. "Observing the quantum topology of light." Science 378, no. 6623 (2022): 966–71. http://dx.doi.org/10.1126/science.ade6219.

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Topological photonics provides a powerful platform to explore topological physics beyond traditional electronic materials and shows promising applications in light transport and lasers. Classical degrees of freedom are routinely used to construct topological light modes in real or synthetic dimensions. Beyond the classical topology, the inherent quantum nature of light provides a wealth of fundamentally distinct topological states. Here we implement experiments on topological states of quantized light in a superconducting circuit, with which one- and two-dimensional Fock-state lattices are con
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28

Simone, Giuseppina. "Will Quantum Topology Redesign Semiconductor Technology?" Nanomaterials 15, no. 9 (2025): 671. https://doi.org/10.3390/nano15090671.

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Semiconductors underpin modern technology, enabling applications from power electronics and photovoltaics to communications and medical diagnostics. However, the industry faces pressing challenges, including shortages of critical raw materials and the unsustainable nature of conventional fabrication processes. Recent developments in quantum computing and topological quantum materials offer a transformative path forward. In particular, materials exhibiting non-Hermitian physics and topological protection, such as topological insulators and superconductors, enable robust, energy-efficient electr
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Li, Jiaheng, Yang Li, Shiqiao Du, et al. "Intrinsic magnetic topological insulators in van der Waals layered MnBi2Te4-family materials." Science Advances 5, no. 6 (2019): eaaw5685. http://dx.doi.org/10.1126/sciadv.aaw5685.

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The interplay of magnetism and topology is a key research subject in condensed matter physics, which offers great opportunities to explore emerging new physics, such as the quantum anomalous Hall (QAH) effect, axion electrodynamics, and Majorana fermions. However, these exotic physical effects have rarely been realized experimentally because of the lack of suitable working materials. Here, we predict a series of van der Waals layered MnBi2Te4-related materials that show intralayer ferromagnetic and interlayer antiferromagnetic exchange interactions. We find extremely rich topological quantum s
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Persky, Eylon, Ilya Sochnikov, and Beena Kalisky. "Studying Quantum Materials with Scanning SQUID Microscopy." Annual Review of Condensed Matter Physics 13, no. 1 (2022): 385–405. http://dx.doi.org/10.1146/annurev-conmatphys-031620-104226.

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Electronic correlations give rise to fascinating macroscopic phenomena such as superconductivity, magnetism, and topological phases of matter. Although these phenomena manifest themselves macroscopically, fully understanding the underlying microscopic mechanisms often requires probing on multiple length scales. Spatial modulations on the mesoscopic scale are especially challenging to probe, owing to the limited range of suitable experimental techniques. Here, we review recent progress in scanning superconducting quantum interference device (SQUID) microscopy. We demonstrate how scanning SQUID
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31

Wang, Huichao, Haiwen Liu, Yanan Li, et al. "Discovery of log-periodic oscillations in ultraquantum topological materials." Science Advances 4, no. 11 (2018): eaau5096. http://dx.doi.org/10.1126/sciadv.aau5096.

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Quantum oscillations are usually the manifestation of the underlying physical nature in condensed matter systems. Here, we report a new type of log-periodic quantum oscillations in ultraquantum three-dimensional topological materials. Beyond the quantum limit (QL), we observe the log-periodic oscillations involving up to five oscillating cycles (five peaks and five dips) on the magnetoresistance of high-quality single-crystal ZrTe5, virtually showing the clearest feature of discrete scale invariance (DSI). Further, theoretical analyses show that the two-body quasi-bound states can be responsib
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32

Waheed, Zaman Khan, Haseeb Muhammad, Nawab Khan Shahzad, et al. "Quantum Materials: Key to Advancing Quantum Computing by Enhancing Stability, Scalability, and Error Resistance through Superconductors, Topological Insulators, and 2D Materials for Scalable Systems." Global Scientific and Academic Research Journal of Multidisciplinary Studies 4, no. 4 (2025): 01–30. https://doi.org/10.5281/zenodo.15180740.

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<em>Quantum computing is poised to transform computational power by surpassing the limitations of traditional systems. Central to this evolution are quantum materials, which possess properties grounded in quantum mechanics and are essential for developing scalable, fault-tolerant quantum systems. This paper examines the pivotal role of quantum materials, including superconductors, topological insulators, two-dimensional (2D) materials, and spintronics, in the field. The first section examines the limitations of silicon in quantum applications, particularly in addressing quantum effects such as
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33

Zhang, J. M., F. Tang, Y. R. Ruan, et al. "Topological quantum phase transition in the magnetic semimetal HoSb." Journal of Materials Chemistry C 9, no. 22 (2021): 6996–7004. http://dx.doi.org/10.1039/d1tc01034d.

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The topological nature of electronic states in HoSb significantly depends on spin orderings (NM, AFM or FM spin configuration). Only the electronic band structure in HoSb's antiferromagnetic state is confirmed to be topologically nontrivial.
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Shah, Muzamil. "Probing topological quantum phase transitions via photonic spin Hall effects in spin-orbit coupled 2D quantum materials." Journal of Physics D: Applied Physics 55, no. 10 (2021): 105105. http://dx.doi.org/10.1088/1361-6463/ac3c76.

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Abstract Topological photonics is an emerging field in photonics in which various topological and geometrical ideas are used to manipulate and control the behavior of light photons. The interplay between topological matter and the spin degree of freedom of photons provides new opportunities for achieving spin-based photonics applications. In this paper, the photonic spin Hall effect (PSHE) of reflected light from the surface of the topological silicene quantum systems subjected to external electric and radiation fields in the terahertz regime is theoretically investigated. By tuning the extern
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35

Schüler, Michael, Umberto De Giovannini, Hannes Hübener, Angel Rubio, Michael A. Sentef, and Philipp Werner. "Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy from two-dimensional materials." Science Advances 6, no. 9 (2020): eaay2730. http://dx.doi.org/10.1126/sciadv.aay2730.

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Topologically nontrivial two-dimensional materials hold great promise for next-generation optoelectronic applications. However, measuring the Hall or spin-Hall response is often a challenge and practically limited to the ground state. An experimental technique for tracing the topological character in a differential fashion would provide useful insights. In this work, we show that circular dichroism angle-resolved photoelectron spectroscopy provides a powerful tool that can resolve the topological and quantum-geometrical character in momentum space. In particular, we investigate how to map out
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36

Hou, Tianrun. "New Phenomena in Condensed Matter Physics: Topological Insulators and Twisted Bilayer Graphene." Highlights in Science, Engineering and Technology 128 (February 25, 2025): 155–62. https://doi.org/10.54097/t4jpgz35.

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Phenomena include the Kosterlitz-Thouless phase transition, fractional quantum Hall effect, and high-temperature superconductivity have driven advances in condensed matter physics, offering a foundation for the investigation of superconductivity and the quantum Hall effect, as well as aiding in the comprehension of the behavior of strongly correlated electrons. The discovery of topological insulators and the preparation of graphene triggered important breakthroughs 20 years ago, leading to novel phenomena include topological superconductivity, the quantum anomalous Hall effect, corner graphene
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37

Haugan, H. J., D. Das, S. Bharadwaj, et al. "Optimization of hybridized InAsSb/InGaSb semiconductor topological materials." Applied Physics Letters 121, no. 6 (2022): 062109. http://dx.doi.org/10.1063/5.0099721.

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Generating large topologically protected surface currents using conventional III–V infrared materials such as InAsSb/InGaSbAs quantum wells (QWs) and superlattices (SLs) has been important. In such materials, topological states can be formed at the edge by hybridizing ordinary electronic band structures. However, achieving large surface currents out of these materials is still difficult due to low emission currents and high carrier defects. In this work, we present two hybridized topological structures: one for the 6.22 Å metamorphic QWs and the other for the 6.10 Å pseudomorphic SLs. Both str
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38

Shin, Dongbin, Shunsuke A. Sato, Hannes Hübener, et al. "Unraveling materials Berry curvature and Chern numbers from real-time evolution of Bloch states." Proceedings of the National Academy of Sciences 116, no. 10 (2019): 4135–40. http://dx.doi.org/10.1073/pnas.1816904116.

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Materials can be classified by the topological character of their electronic structure and, in this perspective, global attributes immune to local deformations have been discussed in terms of Berry curvature and Chern numbers. Except for instructional simple models, linear response theories have been ubiquitously used in calculations of topological properties of real materials. Here we propose a completely different and versatile approach to obtain the topological characteristics of materials by calculating physical observables from the real-time evolving Bloch states: The cell-averaged curren
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39

Yan, Qiuchen, Xiaoyong Hu, Yulan Fu, et al. "Quantum Topological Photonics." Advanced Optical Materials 9, no. 15 (2021): 2001739. http://dx.doi.org/10.1002/adom.202001739.

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40

Klemenz, Sebastian, Shiming Lei, and Leslie M. Schoop. "Topological Semimetals in Square-Net Materials." Annual Review of Materials Research 49, no. 1 (2019): 185–206. http://dx.doi.org/10.1146/annurev-matsci-070218-010114.

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Many materials crystallize in structure types that feature a square net of atoms. While these compounds can exhibit many different properties, some members of this family are topological materials. Within the square-net-based topological materials, the observed properties are rich, ranging, for example, from nodal-line semimetals to a bulk half-integer quantum Hall effect. Hence, the potential for guided design of topological properties is enormous. Here we provide an overview of the crystallographic and electronic properties of these phases and show how they are linked, with the goal of under
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41

Sun, Xiaopei, Bing Li, Enna Zhuo, et al. "Realization of superconducting transmon qubits based on topological insulator nanowires." Applied Physics Letters 122, no. 15 (2023): 154001. http://dx.doi.org/10.1063/5.0140079.

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Topological-material-based Josephson junctions have the potential to be used to host Majorana zero modes and to construct topological qubits. For operating the topological qubits at an appropriate timescale to avoid decoherence and quasiparticle poisoning, one would eventually go to the time domain and embed the topological qubits into quantum electrodynamic circuits. Here, we constructed a topological-insulator-nanowire-based transmon qubit and demonstrated its strong coupling to a coplanar waveguide resonator. The flux-tunable spectrum and Rabi oscillations with a qubit lifetime [Formula: se
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42

Black-Schaffer, Annica, Oscar Grånäs, and Anders Bergman. "Challenges and opportunities in theory and modeling of quantum materials." Europhysics News 56, no. 2 (2025): 28–31. https://doi.org/10.1051/epn/2025212.

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Materials display an astonishing range of phenomena, many of them with no classical description. These are quantum materials: superconductors, magnets, topological insulators and beyond. Discovering, understanding, and exploiting materials with dominating quantum effects is key for future quantum technologies. To make progress, theory and modeling is essential.
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Zhang, Chaofan, Yiwei Li, Ding Pei, Zhongkai Liu, and Yulin Chen. "Angle-Resolved Photoemission Spectroscopy Study of Topological Quantum Materials." Annual Review of Materials Research 50, no. 1 (2020): 131–53. http://dx.doi.org/10.1146/annurev-matsci-070218-121852.

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The recently discovered topological quantum materials (TQMs) have electronic structures that can be characterized by certain topological invariants. In these novel materials, the unusual bulk and surface electrons not only give rise to many exotic physical phenomena but also foster potential new technological applications. To characterize the unusual electronic structures of these new materials, investigators have used angle-resolved photoemission spectroscopy (ARPES) as an effective experimental tool to directly visualize the unique bulk and surface electronic structures of TQMs. In this revi
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44

Wang Huan-Wen, Fu Bo, and Shen Shun-Qing. "Recent progress of transport theory in Dirac quantum materials." Acta Physica Sinica, 2023, 0. http://dx.doi.org/10.7498/aps.72.20230672.

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Dirac quantum materials comprise a broad category of condensed matter systems characterized by low-energy excitations described by the Dirac equation. These excitations, which can manifest as either collective states or band structure effects, have been identified in a wide range of systems, from exotic quantum fluids to crystalline materials. Over the past several decades, they have sparked extensive experimental and theoretical investigations in various materials, such as topological insulators and topological semimetals. The study of Dirac quantum materials has also opened up new possibilit
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45

Vincent, Rajaji, Francisco Javier Manjon Herrera, and Chandrabhas Narayana. "Pressure induced topological and topological crystalline insulators." Journal of Physics: Condensed Matter, August 11, 2022. http://dx.doi.org/10.1088/1361-648x/ac8906.

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Abstract Research on topological and topological crystalline insulators is one of the most intense and exciting topics due to its fascinating fundamental science and potential technological applications. Pressure (strain) is one potential pathway to induce the non-trivial topological phases in some topologically trivial (normal) insulating or semiconducting materials. In the last ten years, there have been substantial theoretical and experimental efforts from condensed-matter scientists to characterize and understand pressure-induced topological quantum phase transitions. In particular, a prom
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46

Sudrajat, Hanggara. "Topological quantum materials in catalysis." Journal of Materials Chemistry A, 2025. https://doi.org/10.1039/d4ta08325c.

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Let's quantum: topological quantum materials offer high electron mobility, stable surface states, and resistance to contamination, making them ideal candidates for next-generation heterogeneous catalysts.
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47

Xu, Yuanfeng, M. G. Vergniory, Da-Shuai Ma, et al. "Catalog of topological phonon materials." Science 384, no. 6696 (2024). http://dx.doi.org/10.1126/science.adf8458.

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Phonons play a crucial role in many properties of solid-state systems, and it is expected that topological phonons may lead to rich and unconventional physics. On the basis of the existing phonon materials databases, we have compiled a catalog of topological phonon bands for more than 10,000 three-dimensional crystalline materials. Using topological quantum chemistry, we calculated the band representations, compatibility relations, and band topologies of each isolated set of phonon bands for the materials in the phonon databases. Additionally, we calculated the real-space invariants for all th
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48

Sun, Wenbo, Todd Friedrich Van Mechelen, Sathwik Bharadwaj, Ashwin K. Boddeti, and Zubin Jacob. "Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity." New Journal of Physics, October 18, 2023. http://dx.doi.org/10.1088/1367-2630/ad04bc.

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Abstract Edge states occurring in Chern and quantum spin-Hall phases are signatures of the topological electronic band structure in two-dimensional (2D) materials. Recently, a new topological electromagnetic phase of graphene characterized by the optical N-invariant was proposed. Optical N-invariant arises from repulsive Hall viscosity in hydrodynamic many-body electron systems, distinct from the Chern and Z2 invariants. In this paper, we introduce the topologically protected edge excitation -- optical N-plasmon of interacting many-body electron systems in the topological optical N-phase. Thes
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49

Nadeem, Muhammad, and Xiaolin Wang. "Spin Gapless Quantum Materials." Advanced Materials, June 21, 2024. http://dx.doi.org/10.1002/adma.202402503.

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AbstractQuantum materials, with nontrivial quantum phenomena and mechanisms, promise efficient quantum technologies with enhanced functionalities. Quantum technology is held back because a gap between fundamental science and its implementation is not fully understood yet. In order to capitalize the quantum advantage, a new perspective is required to figure out and close this gap. In this review, spin gapless quantum materials, featured by fully spin‐polarized bands and the electron/hole transport, are discussed from the perspective of fundamental understanding and device applications. Spin gap
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Yang, Guangsai, Lina Sang, Chao Zhang, et al. "Advances in Topological Thermoelectrics: Harnessing Quantum Materials for Energy Applications." Advanced Materials, July 9, 2025. https://doi.org/10.1002/adma.202506417.

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AbstractThermoelectric (TE) effect, which enables the direct conversion of heat into electricity or vice versa, has great importance for condensed matter physics and material science due to its great potential for sustainable energy applications. Topological materials, with their topologically nontrivial band structures and rich physical phenomena, offer exciting opportunities for achieving efficient TE energy conversion. Here, an overview of the recent theoretical is provided and experimental advances at the intersection of topology and thermoelectricity. The unique features of topological ma
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