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arXiv 1003.5036cond-mat.mes-hallcond-mat.mtrl-sci
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石墨烯边的手征规范理论

Chiral Gauge Theory for Graphene Edge

Ken-ichi Sasaki, Katsunori Wakabayashi

摘要:

提出了一种引入形变诱导(轴向)规范场的有效质量理论作为研究石墨烯边缘的理论框架。虽然规范场在边缘处是奇异的,但它可以表示边界条件,并采用这种框架来解决锯齿形和扶手椅形边缘的散射问题。此外,我们解决了散射问题中存在的质量项和电磁场。结果表明,质量项使狄拉克点处的驻波避开锯齿边,局域态密度消失,最低朗道态和第一朗道态在锯齿边附近具有特殊性.(手征)规范理论框架提供了对石墨烯边缘的有用描述。

英文摘要:

An effective-mass theory with a deformation-induced (an axial) gauge field is proposed as a theoretical framework to study graphene edge. Though the gauge field is singular at edge, it can represent the boundary condition and this framework is adopted to solve the scattering problems for the zigzag and armchair edges. Furthermore, we solve the scattering problem in the presence of a mass term and an electromagnetic field. It is shown that the mass term makes the standing wave at the Dirac point avoid the zigzag edge, by which the local density of states disappears, and the lowest and first Landau states are special near the zigzag edge. The (chiral) gauge theory framework provides a useful description of graphene edge.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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