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arXiv 0904.0540cond-mat.mes-hallcond-mat.mtrl-sci
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周期势场中石墨烯的零模

Emerging Zero Modes for Graphene in a Periodic Potential

L. Brey, H. A. Fertig

摘要:

我们研究了周期势对石墨烯电子态和电导的影响。结果表明,对于余弦势$V(x)=V_0\cos(G_0x)$,每当$J_0(\frac {2V_0}{\hbar v_F G_0})=0$出现新的零能态。这些状态的波函数的相位被证明与周期势中过阻尼粒子在周期力作用下的运动方程的周期解有关。狄拉克方程的数值解证实了这些态的存在,并证明了它们附近态的手性。电导共振示出伴随这些诱导狄拉克点的出现。

英文摘要:

We investigate the effect of a periodic potential on the electronic states and conductance of graphene. It is demonstrated that for a cosine potential $V(x)=V_0\cos(G_0x)$, new zero energy states emerge whenever $J_0(\frac {2V_0}{\hbar v_F G_0})=0$. The phase of the wavefunctions 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.

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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