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Journal articles on the topic 'KItaev spin chain'

Author: Grafiati

Published: 6 September 2023

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1

Zvyagin, A. A. "Ground state of the biaxial spin-1/2 open chain." Low Temperature Physics 48, no. 5 (2022): 383–88. http://dx.doi.org/10.1063/10.0010202.

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The ground state behavior of the biaxial spin-1/2 chain with free open edges is studied. Using the exact Bethe ansatz solution we show that there can exist boundary bound states for many finite values of the exchange coupling constants. The non-trivial interaction between spins produces charging of the vacua of the model and boundary bound states. Our theory also describes the behavior of the spinless fermion chain with pairing (the Kitaev chain) and an interaction between fermions at neighboring sites for free open boundaries. Therefore, the simple case of noninteracting fermions simplest bou

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2

Jaworowski, Błażej, and Paweł Hawrylak. "Quantum Bits with Macroscopic Topologically Protected States in Semiconductor Devices." Applied Sciences 9, no. 3 (2019): 474. http://dx.doi.org/10.3390/app9030474.

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Current computers are made of semiconductors. Semiconductor technology enables realization of microscopic quantum bits based on electron spins of individual electrons localized by gates in field effect transistors. This results in very fragile quantum processors prone to decoherence. Here, we discuss an alternative approach to constructing qubits using macroscopic and topologically protected states realized in semiconductor devices. First, we discuss a synthetic spin-1 chain realized in an array of quantum dots in a semiconductor nanowire or in a field effect transitor. A synthetic spin-1 chai

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3

Vlasov, Alexander Yurievich. "Clifford Algebras, Spin Groups and Qubit Trees." Quanta 11, no. 1 (2022): 97–114. http://dx.doi.org/10.12743/quanta.v11i1.199.

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Representations of Spin groups and Clifford algebras derived from the structure of qubit trees are introduced in this work. For ternary trees the construction is more general and reduction to binary trees is formally defined by deletion of superfluous branches. The usual Jordan–Wigner construction also may be formally obtained in this approach by bringing the process up to trivial qubit chain (trunk). The methods can also be used for effective simulation of some quantum circuits corresponding to the binary tree structure. The modeling of more general qubit trees, as well as the relationship wi

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4

Güngördü, Utkan, and Alexey A. Kovalev. "Majorana bound states with chiral magnetic textures." Journal of Applied Physics 132, no. 4 (2022): 041101. http://dx.doi.org/10.1063/5.0097008.

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The aim of this Tutorial is to give a pedagogical introduction into realizations of Majorana fermions, usually termed as Majorana bound states (MBSs), in condensed matter systems with magnetic textures. We begin by considering the Kitaev chain model of “spinless” fermions and show how two “half” fermions can appear at chain ends due to interactions. By considering this model and its two-dimensional generalization, we emphasize intricate relation between topological superconductivity and possible realizations of MBS. We further discuss how “spinless” fermions can be realized in more physical sy

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5

Peotta, Sebastiano, Leonardo Mazza, Ettore Vicari, Marco Polini, Rosario Fazio, and Davide Rossini. "The XYZ chain with Dzyaloshinsky–Moriya interactions: from spin–orbit-coupled lattice bosons to interacting Kitaev chains." Journal of Statistical Mechanics: Theory and Experiment 2014, no. 9 (2014): P09005. http://dx.doi.org/10.1088/1742-5468/2014/09/p09005.

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6

Agrapidis, Cliò Efthimia, Jeroen van den Brink, and Satoshi Nishimoto. "Numerical Study of the Kitaev-Heisenberg chain as a spin model of the K-intercalated RuCl3." Journal of Physics: Conference Series 969 (March 2018): 012112. http://dx.doi.org/10.1088/1742-6596/969/1/012112.

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7

Mazziotti, Maria, Niccolò Scopigno, Marco Grilli, and Sergio Caprara. "Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces." Condensed Matter 3, no. 4 (2018): 37. http://dx.doi.org/10.3390/condmat3040037.

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We study one-dimensional structures that may be formed at the LaAlO 3 /SrTiO 3 oxide interface by suitable top gating. These structures are modeled via a single-band model with Rashba spin-orbit coupling, superconductivity and a magnetic field along the one-dimensional chain. We first discuss the conditions for the occurrence of a topological superconducting phase and the related formation of Majorana fermions at the chain endpoints, highlighting a close similarity between this model and the Kitaev model, which also reflects in a similar condition the formation of a topological phase. Solving

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8

Kotetes, Panagiotis. "Diagnosing topological phase transitions in 1D superconductors using Berry singularity markers." Journal of Physics: Condensed Matter 34, no. 17 (2022): 174003. http://dx.doi.org/10.1088/1361-648x/ac4f1e.

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Abstract In this work I demonstrate how to characterize topological phase transitions in BDI symmetry class superconductors (SCs) in 1D, using the recently introduced approach of Berry singularity markers (BSMs). In particular, I apply the BSM method to the celebrated Kitaev chain model, as well as to a variant of it, which contains both nearest and next nearest neighbor equal spin pairings. Depending on the situation, I identify pairs of external fields which can detect the topological charges of the Berry singularities which are responsible for the various topological phase transitions. Thes

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9

Zazunov, Alex, Albert Iks, Miguel Alvarado, Alfredo Levy Yeyati, and Reinhold Egger. "Josephson effect in junctions of conventional and topological superconductors." Beilstein Journal of Nanotechnology 9 (June 6, 2018): 1659–76. http://dx.doi.org/10.3762/bjnano.9.158.

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We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states. Using Green’s function techniques, the topological superconductor is alternatively described by the low-energy continuum limit of a Kitaev chain or by a more microscopic spinful nanowire model. We show that for the simplest S–TS tunnel junction, only the s-wave pairing correlations in a spinful TS nanowire model can generate a Josephson effect. The critical cu

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10

Yang, Wang, Alberto Nocera, Erik S. Sørensen, Hae-Young Kee, and Ian Affleck. "Classical spin order near the antiferromagnetic Kitaev point in the spin- 12 Kitaev-Gamma chain." Physical Review B 103, no. 5 (2021). http://dx.doi.org/10.1103/physrevb.103.054437.

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11

Gordon, Jacob S., and Hae-Young Kee. "Insights into the anisotropic spin- S Kitaev chain." Physical Review Research 4, no. 1 (2022). http://dx.doi.org/10.1103/physrevresearch.4.013205.

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12

Steinigeweg, Robin, and Wolfram Brenig. "Energy dynamics in the Heisenberg-Kitaev spin chain." Physical Review B 93, no. 21 (2016). http://dx.doi.org/10.1103/physrevb.93.214425.

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13

Shibata, Naoyuki, and Hosho Katsura. "Dissipative spin chain as a non-Hermitian Kitaev ladder." Physical Review B 99, no. 17 (2019). http://dx.doi.org/10.1103/physrevb.99.174303.

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14

Vimal, Vimalesh Kumar, H. Wanare, and V. Subrahmanyam. "Loschmidt echo and momentum distribution in a Kitaev spin chain." Physical Review A 106, no. 3 (2022). http://dx.doi.org/10.1103/physreva.106.032221.

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15

You, Wen-Long, Gaoyong Sun, Jie Ren, Wing Chi Yu, and Andrzej M. Oleś. "Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain." Physical Review B 102, no. 14 (2020). http://dx.doi.org/10.1103/physrevb.102.144437.

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16

Vimal, Vimalesh Kumar, and V. Subrahmanyam. "Quantum correlations and entanglement in a Kitaev-type spin chain." Physical Review A 98, no. 5 (2018). http://dx.doi.org/10.1103/physreva.98.052303.

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17

Sørensen, Erik S., Jacob Gordon, Jonathon Riddell, Tianyi Wang, and Hae-Young Kee. "Field-induced chiral soliton phase in the Kitaev spin chain." Physical Review Research 5, no. 1 (2023). http://dx.doi.org/10.1103/physrevresearch.5.l012027.

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18

Vargas-Calderón, Vladimir, Herbert Vinck-Posada, and Fabio A. González. "An empirical study of quantum dynamics as a ground state problem with neural quantum states." Quantum Information Processing 22, no. 4 (2023). http://dx.doi.org/10.1007/s11128-023-03902-9.

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AbstractWe consider the Feynman–Kitaev formalism applied to a spin chain described by the transverse-field Ising model. This formalism consists of building a Hamiltonian whose ground state encodes the time evolution of the spin chain at discrete time steps. To find this ground state, variational wave functions parameterised by artificial neural networks—also known as neural quantum states (NQSs)—are used. Our work focuses on assessing, in the context of the Feynman–Kitaev formalism, two properties of NQSs: expressivity (the possibility that variational parameters can be set to values such that

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19

Kumar Vimal, Vimalesh, and V. Subrahmanyam. "Magnetization revivals and dynamics of quantum correlations in a Kitaev spin chain." Physical Review A 102, no. 1 (2020). http://dx.doi.org/10.1103/physreva.102.012406.

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20

Wouters, Jurriaan, Hosho Katsura, and Dirk Schuricht. "Interrelations among frustration-free models via Witten's conjugation." SciPost Physics Core 4, no. 4 (2021). http://dx.doi.org/10.21468/scipostphyscore.4.4.027.

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We apply Witten’s conjugation argument [Nucl. Phys. B 202, 253 (1982)] to spin chains, where it allows us to derive frustration-free systems and their exact ground states from known results. We particularly focus on \mathbb{Z}_pℤp-symmetric models, with the Kitaev and Peschel–Emery line of the axial next-nearest neighbour Ising (ANNNI) chain being the simplest examples. The approach allows us to treat two \mathbb{Z}_3ℤ3-invariant frustration-free parafermion chains, recently derived by Iemini et al. [Phys. Rev. Lett. 118, 170402 (2017)] and Mahyaeh and Ardonne [Phys. Rev. B 98, 245104 (2018)],

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21

Yang, Wang, Alberto Nocera, and Ian Affleck. "Comprehensive study of the phase diagram of the spin- 12 Kitaev-Heisenberg-Gamma chain." Physical Review Research 2, no. 3 (2020). http://dx.doi.org/10.1103/physrevresearch.2.033268.

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22

Yang, Wang, Alberto Nocera, Tarun Tummuru, Hae-Young Kee, and Ian Affleck. "Phase Diagram of the Spin- 1/2 Kitaev-Gamma Chain and Emergent SU(2) Symmetry." Physical Review Letters 124, no. 14 (2020). http://dx.doi.org/10.1103/physrevlett.124.147205.

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23

Luo, Qiang, Shijie Hu, Jinbin Li, Jize Zhao, Hae-Young Kee, and Xiaoqun Wang. "Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy." Physical Review B 107, no. 24 (2023). http://dx.doi.org/10.1103/physrevb.107.245131.

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24

Mishra, Sparsh, Shun Tamura, Akito Kobayashi, and Yukio Tanaka. "Impact of impurity scattering on odd-frequency spin-triplet pairing near the edge of the Kitaev chain." Physical Review B 103, no. 2 (2021). http://dx.doi.org/10.1103/physrevb.103.024501.

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25

Macêdo, Rafael A., Flávia B. Ramos, and Rodrigo G. Pereira. "Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions." Physical Review B 105, no. 20 (2022). http://dx.doi.org/10.1103/physrevb.105.205144.

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26

Pan, Haining, and Sankar Das Sarma. "Majorana nanowires, Kitaev chains, and spin models." Physical Review B 107, no. 3 (2023). http://dx.doi.org/10.1103/physrevb.107.035440.

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27

You, Wen-Long, Zhuan Zhao, Jie Ren, Gaoyong Sun, Liangsheng Li, and Andrzej M. Oleś. "Quantum many-body scars in spin-1 Kitaev chains." Physical Review Research 4, no. 1 (2022). http://dx.doi.org/10.1103/physrevresearch.4.013103.

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28

Sørensen, Erik S., Jonathon Riddell, and Hae-Young Kee. "Islands of chiral solitons in integer-spin Kitaev chains." Physical Review Research 5, no. 1 (2023). http://dx.doi.org/10.1103/physrevresearch.5.013210.

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29

Yang, Wang, Alberto Nocera, Paul Herringer, Robert Raussendorf, and Ian Affleck. "Symmetry analysis of bond-alternating Kitaev spin chains and ladders." Physical Review B 105, no. 9 (2022). http://dx.doi.org/10.1103/physrevb.105.094432.

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30

Subrahmanyam, V. "Block entropy for Kitaev-type spin chains in a transverse field." Physical Review A 88, no. 3 (2013). http://dx.doi.org/10.1103/physreva.88.032315.

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31

Wang, Qingzhen, Sebastiaan L. D. ten Haaf, Ivan Kulesh, et al. "Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas." Nature Communications 14, no. 1 (2023). http://dx.doi.org/10.1038/s41467-023-40551-z.

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AbstractCooper pairs occupy the ground state of superconductors and are typically composed of maximally entangled electrons with opposite spin. In order to study the spin and entanglement properties of these electrons, one must separate them spatially via a process known as Cooper pair splitting (CPS). Here we provide the first demonstration of CPS in a semiconductor two-dimensional electron gas (2DEG). By coupling two quantum dots to a superconductor-semiconductor hybrid region we achieve efficient Cooper pair splitting, and clearly distinguish it from other local and non-local processes. Whe

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32

Xu, Haoting, and Hae-Young Kee. "Creating long-range entangled Majorana pairs: From spin- 12 twisted Kitaev to generalized XY chains." Physical Review B 107, no. 13 (2023). http://dx.doi.org/10.1103/physrevb.107.134435.

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33

Yang, Wang, Chao Xu, Alberto Nocera, and Ian Affleck. "Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin- 12 chains from a renormalization-group perspective." Physical Review B 106, no. 6 (2022). http://dx.doi.org/10.1103/physrevb.106.064425.

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34

Naaijkens, Pieter, and Yoshiko Ogata. "The Split and Approximate Split Property in 2D Systems: Stability and Absence of Superselection Sectors." Communications in Mathematical Physics, March 28, 2022. http://dx.doi.org/10.1007/s00220-022-04356-3.

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AbstractThe split property of a pure state for a certain cut of a quantum spin system can be understood as the entanglement between the two subsystems being weak. From this point of view, we may say that if it is not possible to transform a state $$\omega $$ ω via sufficiently local automorphisms (in a sense that we will make precise) into a state satisfying the split property, then the state $$\omega $$ ω has a long-range entanglement. It is well known that in 1D, gapped ground states have the split property with respect to cutting the system into left and right half-chains. In 2D, however, t

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