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Journal articles on the topic 'Topological frustration'

Author: Grafiati

Published: 23 November 2024

Last updated: 31 July 2025

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1

De Filippi, Federico Raffaele, Antonio Francesco Mello, Daniel Sacco Shaikh, Maura Sassetti, Niccolò Traverso Ziani, and Michele Grossi. "Few-Body Precursors of Topological Frustration." Symmetry 16, no. 8 (2024): 1078. http://dx.doi.org/10.3390/sym16081078.

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Spin 1/2 quantum spin chains represent the prototypical model for coupled two-level systems. Consequently, they offer a fertile playground for both fundamental and technological applications ranging from the theory of thermalization to quantum computation. Recently, it has been shown that interesting phenomena are associated to the boundary conditions imposed on the quantum spin chains via the so-called topological frustration. In this work, we analyze the effects of such frustration on a few-spin system, with a particular focus on the strong even–odd effects induced in the ground-state energy

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2

Villain-Guillot, S., R. Dandoloff, A. Saxena, and A. R. Bishop. "Topological solitons and geometrical frustration." Physical Review B 52, no. 9 (1995): 6712–22. http://dx.doi.org/10.1103/physrevb.52.6712.

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3

Hayami, Satoru, and Yukitoshi Motome. "Topological spin crystals by itinerant frustration." Journal of Physics: Condensed Matter 33, no. 44 (2021): 443001. http://dx.doi.org/10.1088/1361-648x/ac1a30.

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4

McLenaghan, I. R., and D. Sherrington. "A model for variable topological frustration." Journal of Physics C: Solid State Physics 20, no. 11 (1987): 1701–11. http://dx.doi.org/10.1088/0022-3719/20/11/013.

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5

Long, M. W. "Topological frustration can lead to superconductivity." Journal of Physics: Condensed Matter 3, no. 33 (1991): 6387–402. http://dx.doi.org/10.1088/0953-8984/3/33/016.

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6

Yao, Zhenwei. "Topological vacancies in spherical crystals." Soft Matter 13, no. 35 (2017): 5905–10. http://dx.doi.org/10.1039/c7sm01599b.

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Understanding geometric frustration of ordered phases in two-dimensional condensed matter on curved surfaces is closely related to a host of scientific problems in condensed matter physics and materials science.

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7

Mishra, Shantanu, Doreen Beyer, Kristjan Eimre, et al. "Topological frustration induces unconventional magnetism in a nanographene." Nature Nanotechnology 15, no. 1 (2019): 22–28. http://dx.doi.org/10.1038/s41565-019-0577-9.

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8

Straley, Joseph P. "Effect of topological frustration on the freezing temperature." Physical Review B 34, no. 1 (1986): 405–9. http://dx.doi.org/10.1103/physrevb.34.405.

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9

Gosavi, Shachi, Leslie L. Chavez, Patricia A. Jennings та José N. Onuchic. "Topological Frustration and the Folding of Interleukin-1β". Journal of Molecular Biology 357, № 3 (2006): 986–96. http://dx.doi.org/10.1016/j.jmb.2005.11.074.

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10

Morais Smith, C., T. Drose, R. Besseling, and P. Kes. "Plastic depinning in artificial vortex channels: Competition between bulk and boundary nucleation." Journal de Physique IV 12, no. 9 (2002): 179. http://dx.doi.org/10.1051/jp4:20020389.

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We study the depinning transition of a driven chain-like system in the presence of frustration and quenched disorder. The analysis is motivated by recent transport experiments on artificial vortex-flow channels in superconducting thin films. We start with a London description of the vortices and then map the problem onto a generalized Frenkel-Kontorova model and its continuous equivalent, the sine-Gordon model. In the absence of disorder, frustration reduces the depinning threshold in the commensurate phase, which nearly vanishes in the incommensurate regime. Depinning of the driven frustrated

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11

Imaoka, Hitoshi, and Yasuhiro Kasai. "Topological Expression for Frustration in Antiferromagnetic Triangular Ising Model." Journal of the Physical Society of Japan 65, no. 3 (1996): 725–31. http://dx.doi.org/10.1143/jpsj.65.725.

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12

GAFVELIN, G. "Topological ?frustration? in multispanning E. coli inner membrane proteins." Cell 77, no. 3 (1994): 401–12. http://dx.doi.org/10.1016/0092-8674(94)90155-4.

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13

Norbiato, Federico, Flavio Seno, Antonio Trovato, and Marco Baiesi. "Folding Rate Optimization Promotes Frustrated Interactions in Entangled Protein Structures." International Journal of Molecular Sciences 21, no. 1 (2019): 213. http://dx.doi.org/10.3390/ijms21010213.

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Many native structures of proteins accomodate complex topological motifs such as knots, lassos, and other geometrical entanglements. How proteins can fold quickly even in the presence of such topological obstacles is a debated question in structural biology. Recently, the hypothesis that energetic frustration might be a mechanism to avoid topological frustration has been put forward based on the empirical observation that loops involved in entanglements are stabilized by weak interactions between amino-acids at their extrema. To verify this idea, we use a toy lattice model for the folding of p

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14

Mishra, Shantanu, Doreen Beyer, Kristjan Eimre, et al. "Publisher Correction: Topological frustration induces unconventional magnetism in a nanographene." Nature Nanotechnology 15, no. 1 (2019): 81. http://dx.doi.org/10.1038/s41565-019-0621-9.

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15

Hafner, J., and M. Krajči´. "Localized modes and topological frustration in rational approximants to quasicrystals." Physical Review B 47, no. 2 (1993): 1084–87. http://dx.doi.org/10.1103/physrevb.47.1084.

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16

dos Santos, Roberto J. V., and M. L. Lyra. "Temperature-dependent “frustration”: A thermodynamic rather than a topological effect." Physica A: Statistical Mechanics and its Applications 182, no. 1-2 (1992): 133–44. http://dx.doi.org/10.1016/0378-4371(92)90234-h.

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17

Zhang, Zhao. "Bicolor loop models and their long range entanglement." Quantum 8 (February 29, 2024): 1268. http://dx.doi.org/10.22331/q-2024-02-29-1268.

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Quantum loop models are well studied objects in the context of lattice gauge theories and topological quantum computing. They usually carry long range entanglement that is captured by the topological entanglement entropy. I consider generalization of the toric code model to bicolor loop models and show that the long range entanglement can be reflected in three different ways: a topologically invariant constant, a sub-leading logarithmic correction to the area law, or a modified bond dimension for the area-law term. The Hamiltonians are not exactly solvable for the whole spectra, but admit a to

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18

Kurumaji, Takashi, Taro Nakajima, Max Hirschberger, et al. "Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet." Science 365, no. 6456 (2019): 914–18. http://dx.doi.org/10.1126/science.aau0968.

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Geometrically frustrated magnets can host complex spin textures, leading to unconventional electromagnetic responses. Magnetic frustration may also promote topologically nontrivial spin states such as magnetic skyrmions. Experimentally, however, skyrmions have largely been observed in noncentrosymmetric lattice structures or interfacial symmetry-breaking heterostructures. Here, we report the emergence of a Bloch-type skyrmion state in the frustrated centrosymmetric triangular-lattice magnet Gd2PdSi3. We observed a giant topological Hall response, indicating a field-induced skyrmion phase, whic

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19

Vyazovskaya, Alexandra Yu, Evgeniy K. Petrov, Yury M. Koroteev, et al. "Superlattices of Gadolinium and Bismuth Based Thallium Dichalcogenides as Potential Magnetic Topological Insulators." Nanomaterials 13, no. 1 (2022): 38. http://dx.doi.org/10.3390/nano13010038.

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Using relativistic spin-polarized density functional theory calculations we investigate magnetism, electronic structure and topology of the ternary thallium gadolinium dichalcogenides TlGdZ2 (Z= Se and Te) as well as superlattices on their basis. We find TlGdZ2 to have an antiferromagnetic exchange coupling both within and between the Gd layers, which leads to frustration and a complex magnetic structure. The electronic structure calculations reveal both TlGdSe2 and TlGdTe2 to be topologically trivial semiconductors. However, as we show further, a three-dimensional (3D) magnetic topological in

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20

Karube, Kosuke, Jonathan S. White, Daisuke Morikawa, et al. "Disordered skyrmion phase stabilized by magnetic frustration in a chiral magnet." Science Advances 4, no. 9 (2018): eaar7043. http://dx.doi.org/10.1126/sciadv.aar7043.

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Magnetic skyrmions are vortex-like topological spin textures often observed to form a triangular-lattice skyrmion crystal in structurally chiral magnets with the Dzyaloshinskii-Moriya interaction. Recently, β-Mn structure–type Co-Zn-Mn alloys were identified as a new class of chiral magnet to host such skyrmion crystal phases, while β-Mn itself is known as hosting an elemental geometrically frustrated spin liquid. We report the intermediate composition system Co7Zn7Mn6 to be a unique host of two disconnected, thermal-equilibrium topological skyrmion phases; one is a conventional skyrmion cryst

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21

Gao, Meng, Ping Li, Zhengding Su, and Yongqi Huang. "Topological frustration leading to backtracking in a coupled folding–binding process." Physical Chemistry Chemical Physics 24, no. 4 (2022): 2630–37. http://dx.doi.org/10.1039/d1cp04927e.

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22

Knezevic, M., and J. Vannimenus. "Topological frustration and quasicompact phase in a model of interacting polymers." Journal of Physics A: Mathematical and General 20, no. 15 (1987): L969—L973. http://dx.doi.org/10.1088/0305-4470/20/15/007.

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23

Norcross, Todd S., and Todd O. Yeates. "A Framework for Describing Topological Frustration in Models of Protein Folding." Journal of Molecular Biology 362, no. 3 (2006): 605–21. http://dx.doi.org/10.1016/j.jmb.2006.07.054.

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24

Hills, Ronald D., and Charles L. Brooks. "Subdomain Competition, Cooperativity, and Topological Frustration in the Folding of CheY." Journal of Molecular Biology 382, no. 2 (2008): 485–95. http://dx.doi.org/10.1016/j.jmb.2008.07.007.

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25

Nencka‐Ficek, H. "Topological closure as the necessary condition for frustration or phase transitions." Journal of Mathematical Physics 26, no. 7 (1985): 1597–99. http://dx.doi.org/10.1063/1.526924.

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26

Copenhagen, Katherine, Gema Malet-Engra, Weimiao Yu, Giorgio Scita, Nir Gov, and Ajay Gopinathan. "Frustration-induced phases in migrating cell clusters." Science Advances 4, no. 9 (2018): eaar8483. http://dx.doi.org/10.1126/sciadv.aar8483.

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Certain malignant cancer cells form clusters in a chemoattractant gradient, which can spontaneously show three different phases of motion: translational, rotational, and random. Guided by our experiments on the motion of two-dimensional clusters in vitro, we developed an agent-based model in which the cells form a cohesive cluster due to attractive and alignment interactions. We find that when cells at the cluster rim are more motile, all three phases of motion coexist, in agreement with our observations. Using the model, we show that the transitions between different phases are driven by comp

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27

Fang, Fang, Richard Clawson, and Klee Irwin. "The Curled Up Dimension in Quasicrystals." Crystals 11, no. 10 (2021): 1238. http://dx.doi.org/10.3390/cryst11101238.

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Most quasicrystals can be generated by the cut-and-project method from higher dimensional parent lattices. In doing so they lose the periodic order their parent lattice possess, replaced with aperiodic order, due to the irrationality of the projection. However, perfect periodic order is discovered in the perpendicular space when gluing the cut window boundaries together to form a curved loop. In the case of a 1D quasicrystal projected from a 2D lattice, the irrationally sloped cut region is bounded by two parallel lines. When it is extrinsically curved into a cylinder, a line defect is found o

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28

Ostoréro, J., A. Mauger, M. Guillot, A. Derory, M. Escorne, and A. Marchand. "Influence of topological frustration on the magnetic properties of the normal oxyspinelCdFe2O4." Physical Review B 40, no. 1 (1989): 391–95. http://dx.doi.org/10.1103/physrevb.40.391.

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29

Lee, Ji Young, Li Duan, Tyler M. Iverson, and Ruxandra I. Dima. "Exploring the Role of Topological Frustration in Actin Refolding with Molecular Simulations." Journal of Physical Chemistry B 116, no. 5 (2012): 1677–86. http://dx.doi.org/10.1021/jp209340y.

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30

Shenoy, Subodh R. "Topological disorder hierarchically trapped at frustration sites: Physical picture for a glass." Physical Review B 35, no. 16 (1987): 8652–56. http://dx.doi.org/10.1103/physrevb.35.8652.

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31

Araki, Takeaki, Marco Buscaglia, Tommaso Bellini, and Hajime Tanaka. "Memory and topological frustration in nematic liquid crystals confined in porous materials." Nature Materials 10, no. 4 (2011): 303–9. http://dx.doi.org/10.1038/nmat2982.

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32

Vesperini, Arthur, Roberto Franzosi, and Marco Pettini. "The Glass Transition: A Topological Perspective." Entropy 27, no. 3 (2025): 258. https://doi.org/10.3390/e27030258.

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Resorting to microcanonical ensemble Monte Carlo simulations, we study the geometric and topological properties of the state space of a model of a network glass-former. This model, a Lennard-Jones binary mixture, does not crystallize due to frustration. We have found two peaks in specific heat at equilibrium and at low energy, corresponding to important changes in local ordering. These singularities were accompanied by inflection points in geometrical markers of the potential energy level sets—namely, the mean curvature, the dispersion of the principal curvatures, and the variance of the scala

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33

Hall, Douglas M., and Gregory M. Grason. "How geometric frustration shapes twisted fibres, inside and out: competing morphologies of chiral filament assembly." Interface Focus 7, no. 4 (2017): 20160140. http://dx.doi.org/10.1098/rsfs.2016.0140.

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Chirality frustrates and shapes the assembly of flexible filaments in rope-like, twisted bundles and fibres by introducing gradients of both filament shape (i.e. curvature) and packing throughout the structure. Previous models of chiral filament bundle formation have shown that this frustration gives rise to several distinct morphological responses, including self-limiting bundle widths, anisotropic domain (tape-like) formation and topological defects in the lateral inter-filament order. In this paper, we employ a combination of continuum elasticity theory and discrete filament bundle simulati

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34

Yan, Li, Yingfang Li, Sakander Hayat, et al. "On Degree-Based and Frustration Related Topological Indices of Single-Walled Titania Nanotubes." Journal of Computational and Theoretical Nanoscience 13, no. 11 (2016): 9027–32. http://dx.doi.org/10.1166/jctn.2016.6080.

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35

Bachmann, Sven, Wojciech De Roeck, Brecht Donvil, and Martin Fraas. "Stability of invertible, frustration-free ground states against large perturbations." Quantum 6 (September 8, 2022): 793. http://dx.doi.org/10.22331/q-2022-09-08-793.

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A gapped ground state of a quantum spin system has a natural length scale set by the gap. This length scale governs the decay of correlations. A common intuition is that this length scale also controls the spatial relaxation towards the ground state away from impurities or boundaries. The aim of this article is to take a step towards a proof of this intuition. We assume that the ground state is frustration-free and invertible, i.e. it has no long-range entanglement. Moreover, we assume the property that we are aiming to prove for one specific kind of boundary condition; namely open boundary co

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36

Ge, Yang, Jianlong Ji, Zhizhong Shen, et al. "First principles study of magnetism induced by topological frustration of bowtie-shaped graphene nanoflake." Carbon 127 (February 2018): 432–36. http://dx.doi.org/10.1016/j.carbon.2017.11.005.

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37

Tranquada, John M. "Topological Doping and Superconductivity in Cuprates: An Experimental Perspective." Symmetry 13, no. 12 (2021): 2365. http://dx.doi.org/10.3390/sym13122365.

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Hole doping into a correlated antiferromagnet leads to topological stripe correlations, involving charge stripes that separate antiferromagnetic spin stripes of opposite phases. The topological spin stripe order causes the spin degrees of freedom within the charge stripes to feel a geometric frustration with their environment. In the case of cuprates, where the charge stripes have the character of a hole-doped two-leg spin ladder, with corresponding pairing correlations, anti-phase Josephson coupling across the spin stripes can lead to a pair-density-wave order in which the broken translation

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38

Hong, Sungyeon, Michael A. Klatt, Gerd Schröder-Turk, Nicolas François, and Mohammad Saadatfar. "Dynamical arrest of topological defects in 2D hyperuniform disk packings." EPJ Web of Conferences 249 (2021): 15002. http://dx.doi.org/10.1051/epjconf/202124915002.

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We investigate collective motions of points in 2D systems, orchestrated by Lloyd algorithm. The algorithm iteratively updates a system by minimising the total quantizer energy of the Voronoi landscape of the system. As a result of a tradeoff between energy minimisation and geometric frustration, we find that optimised systems exhibit a defective landscape along the process, where strands of 5- and 7-coordinated dislocations are embedded in the hexatic phase. In particular, dipole defects, each of which is the simplest possible pair of a pentagon and a heptagon, come into the picture of dynamic

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39

Azzoni, C. B., M. C. Mozzati, A. Paleari, V. Massarottib, D. Capsonib, and M. Binib. "Magnetic Order in Li-Mn Spinels." Zeitschrift für Naturforschung A 53, no. 8 (1998): 693–98. http://dx.doi.org/10.1515/zna-1998-0809.

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Abstract Magnetic measurements were carried out on different samples of Lithium-Manganese spinel LiMn2O4 , great care having been taken to avoid the presence of spurious magnetic phases, such as Mn3O4 . Susceptibility data, showing deviations from paramagnetic behaviour at about 40 K, were analyzed in terms of local magnetic interactions, taking into account the structural and transport properties of these com-pounds. The magnetic response of pure and stoichiometric samples suggests that the onset of a longrange magnetic ordering is hindered by the topological frustration of the antiferromagne

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40

Maiellaro, Alfonso, Francesco Romeo, and Roberta Citro. "Effects of geometric frustration in Kitaev chains." European Physical Journal Plus 136, no. 6 (2021). http://dx.doi.org/10.1140/epjp/s13360-021-01592-9.

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AbstractWe study the topological phase transitions of a Kitaev chain frustrated by the addition of a single long-range hopping. In order to study the topological properties of the resulting legged-ring geometry (Kitaev tie model), we generalize the transfer matrix approach through which the emergence of Majorana edge modes is analyzed. We find that geometric frustration gives rise to a topological phase diagram in which non-trivial phases alternate with trivial ones at varying the range of the hopping and the chemical potential. Robustness to disorder of non-trivial phases is also proven. More

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41

Zhang, Wenjuan, Zachariah Addison, and Nandini Trivedi. "Orbital frustration and topological flat bands." Physical Review B 104, no. 23 (2021). http://dx.doi.org/10.1103/physrevb.104.235202.

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42

Schmidt, Kai Phillip. "Persisting topological order via geometric frustration." Physical Review B 88, no. 3 (2013). http://dx.doi.org/10.1103/physrevb.88.035118.

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43

Drisko, Jasper, Thomas Marsh, and John Cumings. "Topological frustration of artificial spin ice." Nature Communications 8, no. 1 (2017). http://dx.doi.org/10.1038/ncomms14009.

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44

Marić, Vanja, Fabio Franchini, Domagoj Kuić, and Salvatore Marco Giampaolo. "Resilience of the topological phases to frustration." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-86009-4.

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AbstractRecently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) to

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45

Marić, Vanja, Salvatore Marco Giampaolo, and Fabio Franchini. "Quantum phase transition induced by topological frustration." Communications Physics 3, no. 1 (2020). http://dx.doi.org/10.1038/s42005-020-00486-z.

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AbstractIn quantum many-body systems with local interactions, the effects of boundary conditions are considered to be negligible, at least for sufficiently large systems. Here we show an example of the opposite. We consider a spin chain with two competing interactions, set on a ring with an odd number of sites. When only the dominant interaction is antiferromagnetic, and thus induces topological frustration, the standard antiferromagnetic order (expressed by the magnetization) is destroyed. When also the second interaction turns from ferro to antiferro, an antiferromagnetic order characterized

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46

Marić, Vanja, Gianpaolo Torre, Fabio Franchini, and Salvatore Marco Giampaolo. "Topological Frustration can modify the nature of a Quantum Phase Transition." SciPost Physics 12, no. 2 (2022). http://dx.doi.org/10.21468/scipostphys.12.2.075.

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Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this assumption. We show that topological frustration can change the nature of a second order quantum phase transition separating two different ordered phases. Even more remarkably, frustration is triggered simply by a suitable choice of boundary conditions in a 1D chain. While with every other BC each of two phases is characterized by its own local order parame

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47

Torre, Gianpaolo, Jovan Odavić, Pierre Fromholz, Salvatore Marco Giampaolo, and Fabio Franchini. "Long-range entanglement and topological excitations." SciPost Physics Core 7, no. 3 (2024). http://dx.doi.org/10.21468/scipostphyscore.7.3.050.

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Topological order comes in different forms, and its classification and detection is an important field of modern research. In this work, we show that the Disconnected Entanglement Entropy, a measure originally introduced to identify topological phases, is also able to unveil the long-range entanglement (LRE) carried by a single, fractionalized excitation. We show this by considering a quantum, delocalized domain wall excitation that can be introduced into a system by inducing geometric frustration in an antiferromagnetic spin chain. Furthermore, we show that the LRE of such systems is resilien

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48

Mohanta, Narayan, and Elbio Dagotto. "Interfacial phase frustration stabilizes unconventional skyrmion crystals." npj Quantum Materials 7, no. 1 (2022). http://dx.doi.org/10.1038/s41535-022-00483-1.

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AbstractChiral magnetic phases with an unconventional topological twist in the magnetization are of huge interest due to their potential in spintronics applications. Here, we present a general method to induce such exotic magnetic phases using interfacial phase frustration within artificially grown superlattices. To demonstrate our method, we consider a multilayer with two different chiral magnetic phases as the competing orders at the top and bottom and show, using Monte Carlo calculations, that the interfacial phase frustration is realized at the central layer. In particular, we obtain three

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49

Bullard, Zachary, Eduardo Costa Girão, Colin Daniels, Bobby G. Sumpter, and Vincent Meunier. "Quantifying energetics of topological frustration in carbon nanostructures." Physical Review B 89, no. 24 (2014). http://dx.doi.org/10.1103/physrevb.89.245425.

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50

Honma, Michinori, Koki Toda, Ryota Ito, and Toshiaki Nose. "Bistable hybrid aligned nematic liquid crystal cells with topological rubbing patterns." Journal of Applied Physics 137, no. 19 (2025). https://doi.org/10.1063/5.0257892.

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We introduce a topological rubbing pattern into hybrid aligned nematic liquid crystal (LC) cells to realize bistable LC orientation properties that can be switched only by applying voltage. The induced bistability is based on enhanced elastic frustration in the LC bulk layer of topologically rubbed LC cells. Specifically, we investigate the effect of the topological rubbing pattern with the topological charge of ±1 on the induced transition behavior from the stable ground state to the metastable excited state. The transition probability and time in the voltage application and removal processes

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