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arXiv 1102.2416cond-mat.mes-hall
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石墨烯中量子输运的Wigner模型

Wigner model for quantum transport in graphene

O. Morandi, F. Schuerrer

摘要:

单层石墨烯是一种新型材料,由二维蜂窝晶格中的平坦单层碳原子组成,其中电子动力学由狄拉克方程控制。采用基于Wigner-Weyl理论的赝自旋相空间方法,研究了电子在石墨烯中的输运,并考虑了量子效应.我们对粒子的全量子力学表示揭示了它本身特别接近于粒子运动的经典描述。我们分析了石墨烯中的克莱因隧穿现象及其对总电流的修正。运动方程的解析研究和一些数值试验。研究了在外加电场和刚性势阶跃作用下电子空穴对的时间演化。我们的形式主义与巴里阶段的方法的连接进行了讨论。

英文摘要:

The single graphene layer is a novel material consisting of a flat monolayer of carbon atoms packed in a two-dimensional honeycomb-lattice, in which the electron dynamics is governed by the Dirac equation. A pseudo-spin phase-space approach based on the Wigner-Weyl formalism is used to describe the transport of electrons in graphene including quantum effects. Our full-quantum mechanical representation of the particles reveals itself to be particularly close to the classical description of the particle motion. We analyze the Klein tunneling and the correction to the total current in graphene induced by this phenomenon. The equations of motion are analytically investigated and some numerical tests are presented. The temporal evolution of the electron-hole pairs in the presence of an external electric field and a rigid potential step is investigated. The connection of our formalism with the Barry-phase approach is also discussed.

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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