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arXiv 0802.0283cond-mat.dis-nn
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石墨烯通过大N I:重整化

Graphene via large N I: Renormalization

Matthew S. Foster, Igor L. Aleiner

摘要:

我们分析了中到强的库仑电子-电子相互作用和弱的淬火无序在石墨烯中的竞争效应。使用一个循环的重整化群计算控制内的大N近似,我们证明,在连续较低的能量(温度或化学势)尺度,一种类型的非阿贝尔矢量势无序总是断言自己作为主导的弹性散射机制的通用短程微观缺陷分布。矢势无序与弹性晶格变形(“波纹”)和拓扑晶格缺陷有关。我们确定了几个定义良好的缩放制度,我们提供缩放预测的电导率和热电势,有效时,由于相互作用的非弹性寿命超过由于无序的弹性寿命。库仑相互作用效应应该强烈地融入悬浮石墨烯薄膜的物理学中,其中rs > 1;我们期望矢量势无序在描述这种薄膜中的传输中发挥重要作用。

英文摘要:

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we demonstrate that, at successively lower energy (temperature or chemical potential) scales, a type of non-Abelian vector potential disorder always asserts itself as the dominant elastic scattering mechanism for generic short-ranged microscopic defect distributions. Vector potential disorder is tied to both elastic lattice deformations ("ripples") and topological lattice defects. We identify several well-defined scaling regimes, for which we provide scaling predictions for the electrical conductivity and thermopower, valid when the inelastic lifetime due to interactions exceeds the elastic lifetime due to disorder. Coulomb interaction effects should figure strongly into the physics of suspended graphene films, where rs > 1; we expect vector potential disorder to play an important role in the description of transport in such films.

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