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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Lattice dynamics and chemical bonding in Sb2Te3 from first-principles calculations.
TL;DR: It is found that the inclusion of relativistic effects, in terms of the spin-orbit interaction, affects the vibrational features to some extend and creates large fluctuations on phonon density of state in high frequency zone.
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Device Applications of Synthetic Topological Insulator Nanostructures
TL;DR: A review of the development of synthetic topological insulator materials in the application of advanced electronic devices can be found in this article, where the conduction contribution of the surface states can be significantly enhanced due to the larger surface-to-volume ratio, better manifesting the unique properties of the gapless surface states.
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Electron tunneling through a planar single barrier in HgTe quantum wells with inverted band structures
Ling Zhang,Feng Zhai,Kai Chang +2 more
TL;DR: In this article, a theoretical study on the electron tunneling through a single barrier created in a two-dimensional electron gas and quantum spin Hall (QSH) bar in a HgTe/CdTe quantum well with inverted band structures is presented.
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Noncommutative Kubo formula: Applications to transport in disordered topological insulators with and without magnetic fields
Yu Xue,Emil Prodan +1 more
TL;DR: In this article, the noncommutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation.
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The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
TL;DR: In this article, the influence of correlation effects in the quantum spin Hall states, with special focus on the half-filled Kane-Mele-Hubbard model, solved by means of unbiased determinant quantum Monte Carlo (QMC) simulations.
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.