The quantum spin Hall effect and topological insulators
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TLDR
In topological insulators, spin-orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties as mentioned in this paper, which is called spin−orbit coupling.Abstract:
In topological insulators, spin–orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties.read more
Citations
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Physics of emergence beyond Berezinskii–Kosterlitz–Thouless transition for interacting topological quantum matter
Ranjith R Kumar,Sujit Sarkar +1 more
TL;DR: In this paper , the quantum field theoretical renormalization group (RG) calculations are used to find different emergent quantum phases for interacting topological state of quantum matter, including electron-electron interaction.
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Direct observation of spin-orbit-induced 3 d hybridization via resonant inelastic extreme ultraviolet scattering on an edge-sharing cuprate
Marco Malvestuto,Marco Malvestuto,Antonio Caretta,Barbara Casarin,R. Ciprian,Martina Dell'Angela,Simone Laterza,Yi-De Chuang,Wilfried Wurth,A. Revcolevschi,L. Andrew Wray,Fulvio Parmigiani,Fulvio Parmigiani,Fulvio Parmigiani +13 more
TL;DR: Malvestuto et al. as discussed by the authors observed that the orbital excitations of the quasi-1D spin chain compound CuGeO3 have nontrivial and noticeable orbital mixing effects from 3d valence spin-orbit coupling.
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Acoustic transport in higher-order topological insulators with Dirac hierarchy
Xinglong Yu,Xin Zhang,Licheng Wang,Jiebin Peng,Yingyi Huang,Yuan Guo,Jing Cai,Degang Zhao,Yuanwei Yao,Fugen Wu +9 more
TL;DR: In this paper , a simple method to achieve Dirac hierarchy in three-dimensional (3D) acoustic TIs with rich and controllable topological phase transitions was proposed, where the split of multifold Dirac cones in each bulk Dirac cone induced boundary Dirac hierarchies, including topological surface states and topological hinge states.
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Robustness of negative low-field magnetoconductance in ultrathin topological insulator films
TL;DR: In this article , the magnetotransport properties of ultrathin topological insulators (TIs) were investigated and it was shown that electron transport is distinctively different from the WAL regime in the systems with symplectic symmetry, and the WL or weak insulator regime associated with the orthogonal symmetry class.
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Engineering the breaking of time-reversal symmetry in gate-tunable hybrid ferromagnet/topological insulator heterostructures
Joon Sue Lee,Joon Sue Lee,Anthony Richardella,Robert D. Fraleigh,Chao-Xing Liu,Weiwei Zhao,Nitin Samarth +6 more
TL;DR: In this article, the effect of breaking time-reversal symmetry on topological insulator surface states is studied. But the authors focus on the topological spin-textured surface states.
References
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Quantum spin Hall effect in graphene
Charles L. Kane,Eugene J. Mele +1 more
TL;DR: Graphene is converted from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator and the spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed.
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New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
TL;DR: In this article, the Hall voltage of a two-dimensional electron gas, realized with a silicon metal-oxide-semiconductor field effect transistor, was measured and it was shown that the Hall resistance at particular, experimentally well-defined surface carrier concentrations has fixed values which depend only on the fine-structure constant and speed of light, and is insensitive to the geometry of the device.
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Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
TL;DR: In this article, the quantum spin Hall (QSH) effect can be realized in mercury-cadmium telluride semiconductor quantum wells, a state of matter with topological properties distinct from those of conventional insulators.
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Z-2 Topological Order and the Quantum Spin Hall Effect
Charles L. Kane,Eugene J. Mele +1 more
TL;DR: The Z2 order of the QSH phase is established in the two band model of graphene and a generalization of the formalism applicable to multiband and interacting systems is proposed.
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Non-Abelian Anyons and Topological Quantum Computation
TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the ''ensuremath{
u}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.