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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

Realization of Dirac Cones in Few Bilayer Sb(111) Films by Surface Modification

TL;DR: It is shown that an ideal Dirac cone with linear dispersion of topological surface states near the zone center can be realized by functionalizing both surfaces of the film with oxygen, which enhances spin-orbital coupling.
Journal ArticleDOI

Topological chiral phonons along the line defect of intralayer heterojunctions

TL;DR: In this paper, a chiral interface mode that is obviously localized at the line defect in the hexagonal boron nitride intralayer heterojunction, which is topologically protected, was found.
Journal ArticleDOI

Theoretical and experimental investigation of magnetic properties of iodine and cerium Co-doped Bi2Te3 nanoparticles

TL;DR: In this article, a double solvent sol-gel method was used to synthesize a long-range magnetic order in the topological insulator (Bi2Te3), which achieved a great interest by the doping of magnetic elements on to Bi and Te-sites.
Dissertation

Laser-Based Angle-Resolved Photoemission Spectroscopy of Topological Insulators

Yihua Wang
TL;DR: In this article, angle-resolved photoemission spectroscopy (ARPES) was used to study the spin structure and charge dynamics of the Dirac fermions on the surface of topological insulators.
Journal ArticleDOI

Dirac Hierarchy in Acoustic Topological Insulators.

TL;DR: In this paper, an acoustic 3D honeycomb lattice that features a Dirac hierarchy comprising an eightfold bulk Dirac cone, a 2D fourfold surface state, and a 1D twofold hinge state Dirac cones is presented, where the lifting of the Dirac degeneracy in each hierarchy allows the 3D lattice to appear as a first-order topological insulator with 2D topological surface states, a second-order TI exhibiting 1D hinge states, and an 0D midgap corner states.
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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