Non-Fermi-liquid theory for disordered metals near two dimensions
Non-Fermi-liquid theory for disordered metals near two dimensions
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近二维无序金属的非费米液体理论
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
A. Pruisken
中科院分区：
文献类型：
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作者：
M. Baranov;I. Burmistrov;A. Pruisken
我们考虑Finkelstein作用量描述了一个系统的自旋极化或无自旋的电子在2+ 2 π维，在存在的无序以及库仑相互作用。我们扩展了我们以前的工作的重整化群分析和评估的金属-绝缘体过渡的电子气的二阶在一个膨胀。我们得到了完整的标度行为的物理观测值，如电导率和比热随频率，温度和/或电子密度的变化。我们将2+ 2 π维相互作用电子气的结果推广到量子霍尔机制中平台跃迁的量子临界行为。虽然这些跃迁有着非常不同的微观起源，并且由作用中的拓扑项（θ项）控制，但量子临界行为在许多方面在两种情况下是相同的。我们发现，量子霍尔平台跃迁的两个独立的临界指数，以前表示为nu和p，控制不仅在有限的温度T的电导σ（xx）和σ（xy）的标度行为，而且非费米液体的比热行为（c（v）正比于T（p））。为了提取nu和p的数值，有必要将输运实验扩展到包括电子气的比热。
We consider the Finkelstein action describing a system of spin-polarized or spinless electrons in 2+2epsilon dimensions, in the presence of disorder as well as the Coulomb interactions. We extend the renormalization-group analysis of our previous work and evaluate the metal-insulator transition of the electron gas to second order in an epsilon expansion. We obtain the complete scaling behavior of physical observables like the conductivity and the specific heat with varying frequency, temperature, and/or electron density. We extend the results for the interacting electron gas in 2+2epsilon dimensions to include the quantum critical behavior of the plateau transitions in the quantum Hall regime. Although these transitions have a very different microscopic origin and are controlled by a topological term in the action (theta term), the quantum critical behavior is in many ways the same in both cases. We show that the two independent critical exponents of the quantum Hall plateau transitions, previously denoted as nu and p, control not only the scaling behavior of the conductances sigma(xx) and sigma(xy) at finite temperatures T, but also the non-Fermi-liquid behavior of the specific heat (c(v)proportional toT(p)). To extract the numerical values of nu and p it is necessary to extend the experiments on transport to include the specific heat of the electron gas.