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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

Anisotropic Topological Surface States on High‐Index Bi2Se3 Films

TL;DR: A high-index topological insulator thin film, Bi2 Se3 (221), is grown on a faceted InP(001) substrate by molecular-beam epitaxy, suggesting an anisotropy along different crystallographic directions.
Journal ArticleDOI

Paired superfluidity and fractionalized vortices in systems of spin-orbit coupled bosons

TL;DR: In this paper, the authors studied the properties of spin-orbit coupling in two dimensions and showed that thermal fluctuations will first melt the stripe order and lead to a superfluid of boson pairs.
Journal ArticleDOI

Topological Hamiltonian as an exact tool for topological invariants

TL;DR: In this paper, the concept of topological Hamiltonian for topological insulators and superconductors in interacting systems was proposed and shown to contain the information of gapless surface states.
Journal ArticleDOI

Nanoscale strain engineering of giant pseudo-magnetic fields, valley polarization, and topological channels in graphene

TL;DR: By placing strain-free monolayer graphene on architected nanostructures to induce global inversion symmetry breaking, this work demonstrates the development of giant pseudo-magnetic fields, valley polarization, and periodic one-dimensional topological channels for protected propagation of chiral modes in strained graphene, thus paving a pathway toward scalable graphene-based valleytronics.
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Light control of surface–bulk coupling by terahertz vibrational coherence in a topological insulator

TL;DR: In this article, the phase space in the bulk available for Dirac fermion scattering during coherent lattice oscillations in Bi2Se3 was reduced by reducing the phase spaces of the lattice vibrations periodically driven by a single-cycle terahertz (THz) pulse in 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.
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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.
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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