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Publications Influence

Colloquium : Topological insulators

- M Zahid Hasan, C. Kane
- Physics
- 20 February 2010

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 to… Expand

9,127 155- PDF

Quantum spin Hall effect in graphene.

- C. Kane, E. J. Mele
- Physics, Medicine
- Physical review letters
- 29 November 2004

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 symmetry… Expand

3,820 131- PDF

Z2 topological order and the quantum spin Hall effect.

- C. Kane, E. J. Mele
- Physics, Medicine
- Physical review letters
- 22 June 2005

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 that… Expand

3,064 103- PDF

Topological insulators in three dimensions.

- L. Fu, C. Kane, E. J. Mele
- Physics, Medicine
- Physical review letters
- 26 July 2006

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 4… Expand

2,298 82- PDF

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

2,066 73- PDF

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, a… Expand

481 44- PDF

Superconducting proximity effect and majorana fermions at the surface of a topological insulator.

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+ipy… Expand

1,939 34- PDF

Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator

395 27

Size, Shape, and Low Energy Electronic Structure of Carbon Nanotubes

- C. Kane, E. J. Mele
- Materials Science, Physics
- 28 August 1996

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 Dirac… Expand

735 21- PDF

Topological boundary modes in isostatic lattices

- C. Kane, T. Lubensky
- Physics
- 2 August 2013

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.

389 21- PDF