Zarea Mahdi, Sandler Nancy
Department of Physics and Astronomy, Nanoscale and Quantum Phenomena Institute, Ohio University, Athens, Ohio 45701-2979, USA.
Phys Rev Lett. 2007 Dec 21;99(25):256804. doi: 10.1103/PhysRevLett.99.256804. Epub 2007 Dec 19.
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 Delta approximately 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.
利用狄拉克哈密顿量研究了内禀自旋轨道和库仑相互作用对有限宽度石墨烯扶手椅型纳米带低能性质的影响。结果表明，与石墨烯平面预测的绝缘行为相反，在存在内禀自旋轨道相互作用时，金属态以自旋过滤边缘态的形式存在。由于中性纳米带中的库仑相互作用会打开一个电荷能隙，该能隙随着Δ≈1/W而消失，自旋部分无隙。弱内禀自旋轨道相互作用不会改变绝缘行为。给出了宽度依赖能隙和各种关联函数的显式表达式。
