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Open AccessJournal ArticleDOI

The quantum spin Hall effect and topological insulators

Xiao-Liang Qi, +1 more
- 01 Jan 2010 - 
- Vol. 63, Iss: 1, pp 33-38
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.

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Citations
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Journal ArticleDOI

Unified Topological Response Theory for Gapped and Gapless Free Fermions

TL;DR: In this article, a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory was derived.
Journal ArticleDOI

Phonon thermal transport and its tunability in GaN for near-junction thermal management of electronics: A review

TL;DR: In this article , a comprehensive review of phonon thermal transport in GaN and GaN HEMTs is presented, including non-equilibrium transport of electrons and phonons in the heat generation process and thermal conductivity, heat spreading, and interfacial thermal transport.
Journal ArticleDOI

Skyrmion quantum spin Hall effect

TL;DR: The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field as mentioned in this paper, however, spin currents can also be present without transport of spins, for example, in spin-waves or skyrmions.
Journal ArticleDOI

Double Dirac cones and topologically nontrivial phonons for continuous square symmetric C 4 ( v ) and C 2 ( v ) unit cells

TL;DR: In this paper, the inverse design of continuous two-dimensional square phononic metamaterials exhibiting double Dirac degeneracy was studied, which enables topologically protected interface propagation based on the quantum spin Hall effect (QSHE).
Journal ArticleDOI

A new class of topological insulators from I-III-IV half-Heusler compounds with strong band inversion strength

TL;DR: In this article, the band topology of a new half-Heusler family with composition of I(A)-III-A)-IV(A) was investigated by first principle calculations.
References
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Journal ArticleDOI

Quantum spin Hall effect in graphene

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.
Journal ArticleDOI

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.
Journal ArticleDOI

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.
Journal ArticleDOI

Z-2 Topological Order and the Quantum Spin Hall Effect

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.
Journal ArticleDOI

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.
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