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Spin-orbit gap of graphene | | Yugui Yao
; Fei Ye
; Xiao-Liang Qi
; Shou-Cheng Zhang
; Zhong Fang
; | | Date: |
14 Jun 2006 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Materials Science | | Abstract: | 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. | | Source: | arXiv, cond-mat/0606350 | | Services: | Forum | Review | PDF | Favorites | |
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