摘要翻译:
在Born近似下,导出了二维Dirac费米子在杂质散射下对短程杂质势分布函数的广义动力学方程组。证明了经典玻尔兹曼方程图象中电子或空穴由于手性而散射振幅减小的电导率,除了在圆锥点附近的化学势呈指数窄的范围外,是合理的。在这个范围内,由于石墨烯中电子的准相对论性质,产生了无限多的电子-空穴对,导致了与玻尔兹曼项相比最小电导率的重整化和类似于近藤效应的电导率对数修正。
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英文标题:
《Generalized kinetic equations for charge carriers in graphene》
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作者:
M. Auslender and M. I. Katsnelson
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述:Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构:量子点、线和阱。单电子学,自旋电子学,二维电子气,量子霍尔效应,纳米管,石墨烯,等离子纳米结构
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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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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PDF链接:
https://arxiv.org/pdf/707.2804