The effects of intrinsic spin-orbit and Coulomb interactions on low-energyproperties of finite width graphene armchair ribbons are studied by means of aDirac Hamiltonian. It is shown that metallic states subsist in the presence ofintrinsic spin-orbit interactions as spin-filtered edge states, in contrastwith the insulating behavior predicted for graphene planes. A charge-gap opensdue to Coulomb interactions in neutral ribbons, that vanishes as $\Delta\sim1/W $, with a gapless spin sector. Weak intrinsic spin-orbit interactions donot change the insulating behavior. Explicit expressions for thewidth-dependent gap and various correlation functions are presented.
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机译：利用狄拉克·哈密顿量研究了固有自旋轨道和库仑相互作用对有限宽度石墨烯扶手椅带低能特性的影响。结果表明，与石墨烯平面的绝缘行为相反，金属状态在固有的自旋-轨道相互作用中以自旋过滤的边缘状态存在。电荷隙由于中性带中的库仑相互作用而打开，其消失为$ \ Delta \ sim1 / W $，具有无间隙的自旋扇区。固有的自旋轨道相互作用弱不会改变绝缘行为。给出了与宽度相关的间隙和各种相关函数的显式表达式。
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