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Colloquium : Topological insulators
Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator but have protected conducting states on their edge or surface. These states are possible due toExpand
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Quantum spin Hall effect in graphene.
We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetryExpand
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Z2 topological order and the quantum spin Hall effect.
The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show thatExpand
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Topological insulators in three dimensions.
We study three-dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where a single Z2 topological invariant governs the effect, in three dimensions there are 4Expand
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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
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Time Reversal Polarization and a Z 2 Adiabatic Spin Pump
We introduce and analyze a class of one-dimensional insulating Hamiltonians that, when adiabatically varied in an appropriate closed cycle, define a ``${Z}_{2}$ pump.'' For an isolated system, aExpand
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Superconducting proximity effect and majorana fermions at the surface of a topological insulator.
  • L. Fu, C. Kane
  • Physics, Medicine
  • Physical review letters
  • 11 July 2007
We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two-dimensional state resembles a spinless px+ipyExpand
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Size, Shape, and Low Energy Electronic Structure of Carbon Nanotubes
A theory of the long-wavelength low-energy electronic structure of graphite-derived nanotubules is presented. The propagating {pi} electrons are described by wrapping a massless two dimensional DiracExpand
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Topological boundary modes in isostatic lattices
The mathematical connection between isostatic lattices—which are relevant for granular matter, glasses and other ‘soft’ systems—and topological quantum matter is as deep as it is unexpected.
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