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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

Scattered field from a dielectric-topological insulator rough interface using perturbation theory

TL;DR: In this article, a dielectric-topological insulator (TI) rough interface is studied using perturbation theory (PT) and two models characterized by magneto-electric pseudo scalar ψ and surface admittance γ for TI material are incorporated in the analysis.
Journal ArticleDOI

Geometric response of quantum Hall states to electric fields

TL;DR: In this paper, the response of quantum Hall fluids to non-uniform electric fields and the characteristic geometry of electronic motion in the presence of magnetic and electric fields was investigated. And the geometric picture was motivated by the following ansatz.
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ROBUST TRANSPORT OF QUANTUM SPIN HALL STATE IN HgTe/CdTe QUANTUM WELL

TL;DR: In this paper, the effect of nonmagnetic scattering potential at the edge of the quantum well on transport properties of the system was investigated and the results obtained with the help of the Green's function technique suggest that the transport of the QSH state is indeed a robust one where the conductivity takes a constant value independent of the number, shape, strength or length of the scattering potential.
Journal ArticleDOI

Optical and thermal radiative properties of topological insulator semiconductor multilayers

TL;DR: In this article, the relationship between material compositions, geometrical factors, spectral functions, and electronic transport mechanisms to the overall visible to far-infrared radiative properties is investigated, showing how topological insulator multilayers could be useful in thermal-photovoltaic components, optoelectronic devices, and radiative coatings.
Journal ArticleDOI

Dynamical probing of a topological phase of bosons in one dimension

TL;DR: In this paper, the linear response to time-dependent probes of a symmetry-protected topological phase of bosons in one-dimensional, the Haldane insulator (HI), is studied.
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.
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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.
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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