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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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Larger hybridization bandgaps and topological phase transitions in the Sb-based topological insulator superlattices

TL;DR: In this article , the authors proposed a topologically novel InAs/Ga x In 1− x Sb superlattices with inverted bandstructure, where the strain and material composition of each layer in a precise manner, enhancement of the hybridization is achieved.

Broadband Pulsed Fiber Laser Generation with Topological Insulator: Towards the Mid-Infrared Regime

TL;DR: In this article, the authors present an overview of the preparation, transferring, linear and nonlinear optical properties and their applications of topological insulators in pulsed fiber lasers towards mid- infrared regimes.
Journal ArticleDOI

Square-Root Higher-Order Topology in Rectangular-Lattice Acoustic Metamaterials

TL;DR: In this paper , the boundary-dependent topological edge and corner states in both the parent and square-root acoustic metamaterials were explored through acoustic pump-probe techniques.
Journal ArticleDOI

Negative differential resistance and characteristic nonlinear electromagnetic response of a Topological Insulator

TL;DR: In this paper, the authors show that negative differential resistance also arises in Dirac ring systems, an example of which has been experimentally observed in the surface states of Bi2Se3 Topological Insulators.
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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