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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

Effect of surface states on scattering from a slab made of topological insulator material with rough interface

TL;DR: Using the perturbation theory (PT), reflected field both in specular and non specular directions from a slab made of topological insulator (TI) material with rough interface is studied in this paper.
Journal ArticleDOI

Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices

TL;DR: In this paper, the authors show that for sufficiently strong atomic interactions, there exist analytical solutions of current-carrying nonlinear Bloch states at the Brillouin zone edge to the model of spin-orbit-coupled Bose-Einstein condensates (BECs) with symmetric spin interaction loaded into optical lattices.
Book ChapterDOI

Topology-Driven Magnetic Quantum Phase Transition

TL;DR: In this article, a magnetic quantum phase transition (QPT) accompanied by the sign reversal of the anomalous Hall effect in Cr-doped Bi2(Se x Te 1−x )3 topological insulator films grown by MBE is revealed.
Posted Content

Electrical spin injection into graphene from a topological insulator in a van der Waals heterostructure

TL;DR: In this paper, the authors demonstrate electrical injection of helically spin-polarized current into graphene through a 3D topological insulator in a mechanically stacked heterostructure between Bi2Te2Se (a TI) and chemical vapor deposition (CVD)-grown graphene, using the spin potentiometric measurement.
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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