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arXiv 0707.2804cond-mat.mes-hallcond-mat.stat-mech
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石墨烯中载流子的广义动力学方程

Generalized kinetic equations for charge carriers in graphene

M. Auslender, M. I. Katsnelson

摘要:

在Born近似下,导出了关于短程杂质势的二维Dirac费米子被杂质散射的分布函数的广义动力学方程组。证明了由经典Boltzmann方程描述的电导率是合理的,其中电子或空穴的散射振幅由于手征性而减小,除了在锥形点附近化学势的指数范围很窄.当在该范围内时,与石墨烯中的电子的准相对论性质相关的无限数量的电子-空穴对的产生导致与玻尔兹曼项相比最小电导率的重正化以及与近藤效应类似的电导率的对数校正。

英文摘要:

A system of generalized kinetic equations for the distribution functions of two-dimensional Dirac fermions scattered by impurities is derived in the Born approximation with respect to short-range impurity potential. It is proven that the conductivity following from classical Boltzmann equation picture, where electrons or holes have scattering amplitude reduced due chirality, is justified except for an exponentially narrow range of chemical potential near the conical point. When in this range, creation of infinite number of electron-hole pairs related to quasi-relativistic nature of electrons in graphene results in a renormalization of minimal conductivity as compared to the Boltzmann term and logarithmic corrections in the conductivity similar to the Kondo effect.

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