扶手椅型石墨烯带中的电子-电子和自旋-轨道相互作用
Electron-electron and spin-orbit interactions in armchair graphene ribbons
摘要：
利用狄拉克哈密顿量研究了内禀自旋轨道相互作用和库仑相互作用对有限宽度石墨烯扶手椅带低能性质的影响。结果表明，金属状态存在的内在的自旋-轨道相互作用的存在下，作为自旋过滤的边缘状态，与石墨烯平面预测的绝缘行为。由于中性带中的库仑相互作用，电荷间隙打开，其消失为$Δ\sim 1/W $，具有无间隙的自旋扇区。弱的内禀自旋轨道相互作用不改变绝缘行为。给出了宽度相关能隙和各种关联函数的显式表达式。
英文摘要：
The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of intrinsic spin-orbit interactions as spin-filtered edge states, in contrast with the insulating behavior predicted for graphene planes. A charge-gap opens due to Coulomb interactions in neutral ribbons, that vanishes as $Δ\sim 1/W $, with a gapless spin sector. Weak intrinsic spin-orbit interactions do not change the insulating behavior. Explicit expressions for the width-dependent gap and various correlation functions are presented.
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