A topological Dirac insulator in a quantum spin Hall phase

@article{Hsieh2008ATD,
  title={A topological Dirac insulator in a quantum spin Hall phase},
  author={D. Hsieh and D. Qian and L. Wray and Y. Xia and Y. Hor and R. Cava and M Zahid Hasan},
  journal={Nature},
  year={2008},
  volume={452},
  pages={970-974}
}
When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted at the boundary. Recent theoretical models suggest that certain bulk insulators with large spin–orbit interactions may also naturally support conducting topological boundary states in the quantum limit, which opens up the possibility for studying unusual quantum Hall-like… Expand
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References

SHOWING 1-10 OF 43 REFERENCES
Experimental observation of the quantum Hall effect and Berry's phase in graphene
TLDR
An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene. Expand
Quantum Spin Hall Insulator State in HgTe Quantum Wells
TLDR
The quantum phase transition at the critical thickness, d = 6.3 nanometers, was independently determined from the magnetic field–induced insulator-to-metal transition, providing experimental evidence of the quantum spin Hall effect. Expand
Observation of unconventional quantum spin textures in topological insulators
A topologically ordered material is characterized by a rare quantum organization of electrons that evades the conventional spontaneously broken symmetry–based classification of condensed matter.Expand
QUANTUM SPIN HALL EFFECT
0031-9007= The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. The existence of the quantum Hall effect requires breaking ofExpand
Quantum spin Hall effect in graphene.
TLDR
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. Expand
Nondissipative spin Hall effect via quantized edge transport.
TLDR
The spin Hall effect in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings is studied numerically and it is shown that the charge transport through counterpropagating spin-polarized edge channels is well quantized, which is associated with a topological invariant of the system. Expand
Two-dimensional gas of massless Dirac fermions in graphene
TLDR
This study reports an experimental study of a condensed-matter system (graphene, a single atomic layer of carbon) in which electron transport is essentially governed by Dirac's (relativistic) equation and reveals a variety of unusual phenomena that are characteristic of two-dimensional Dirac fermions. Expand
Topological insulators with inversion symmetry
Topological insulators are materials with a bulk excitation gap generated by the spin-orbit interaction that are different from conventional insulators. This distinction is characterized by ${Z}_{2}$Expand
Quantum spin-Hall effect and topologically invariant Chern numbers.
TLDR
It is shown that the topology of the band insulator can be characterized by a 2 x 2 matrix of first Chern integers, and the nontrivial QSHE phase is identified by the nonzero diagonal matrix elements of the Chern number matrix (CNM). Expand
Z2 topological order and the quantum spin Hall effect.
TLDR
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. Expand
...
1
2
3
4
5
...