Emerging Zero Modes for Graphene in a Periodic Potential

被引：227

作者：

Brey, L. ^{[1
]}

Fertig, H. A. ^{[2
]}

机构：

[1] CSIC, Inst Ciencia Mat Madrid, Canto Blanco 28049, Spain

[2] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 04期

关键词：

MASSLESS DIRAC FERMIONS; QUANTUM;

D O I：

10.1103/PhysRevLett.103.046809

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the effect of a periodic potential on the electronic states and conductance of graphene. It is demonstrated that for a cosine potential V(x) = V(0)cos(G(0)x), new zero energy states emerge whenever J(0)(2V(0)/hv(F)G(0)) = 0. The phase of the wave functions of these states is shown to be related to periodic solutions of the equation of motion of an overdamped particle in a periodic potential, subject to a periodic force. Numerical solutions of the Dirac equation confirm the existence of these states, and demonstrate the chirality of states in their vicinity. Conductance resonances are shown to accompany the emergence of these induced Dirac points.

引用

页数：4

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