Intrinsic and Rashba spin-orbit interactions in graphene sheets
Intrinsic and Rashba spin-orbit interactions in graphene sheets
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DOI：
10.1103/physrevb.74.165310
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发表时间：
2006-10-01
影响因子：
3.7
通讯作者：
MacDonald, A. H.
中科院分区：
文献类型：
--
作者：
Min, Hongki;Hill, J. E.;MacDonald, A. H.
从微观紧束缚模型出发，利用二阶微扰理论，推导了孤立石墨烯片类Dirac-like低能带结构中的内禀能隙和Rashba自旋轨道相互作用能隙的显式表达式. Rashba相互作用参数在原子碳自旋-轨道耦合强度xi中是一阶的，在垂直于石墨烯平面的外部电场E中是一阶的，而在E=0处存活的固有自旋-轨道相互作用在xi中是二阶的。低能有效哈密顿量中的自旋轨道项具有最近由Kane和Mele提出的形式。从头算电子结构计算进行了部分检查紧束缚模型的有效性。
Starting from a microscopic tight-binding model and using second-order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an isolated graphene sheet. The Rashba interaction parameter is first order in the atomic carbon spin-orbit coupling strength xi and first order in the external electric field E perpendicular to the graphene plane, whereas the intrinsic spin-orbit interaction which survives at E=0 is second order in xi. The spin-orbit terms in the low-energy effective Hamiltonian have the form proposed recently by Kane and Mele. Ab initio electronic structure calculations were performed as a partial check on the validity of the tight-binding model.