Spin-orbit gap of graphene: First-principles calculations

Details Spin-orbit gap of graphene: First-principles calculations Spin-orbit gap of graphene: First-principles calculations

2006-06-14

arxiv.org/abs/cond-mat/0606350v3

Phys. Rev. B 75, 041401(R) (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevB.75.041401

Even though graphene is a low energy system consisting of the two dimensional honeycomb lattice of carbon atoms, its quasi-particle excitations are fully described by the 2+1 dimensional relativistic Dirac equation. In this paper we show that while the spin-orbit interaction in graphene is of the order of $4 meV$, it opens up a gap of the order of $10^{-3} meV$ at the Dirac points. We present the first principle calculation of the spin-orbit gap, and explain the behavior in terms of a simple tight-binding model. Our result also shows that the recently predicted quantum spin Hall effect in graphene can only occur at unrealistically low temperature.

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