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arXiv 1012.0069cond-mat.str-el
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Pomeranchuk量子临界附近非伽利略不变费米液体的电阻率

Resistivity of a non-Galilean--invariant Fermi Liquid near Pomeranchuk Quantum Criticality

Dmitrii L. Maslov, Vladimir I. Yudson, Andrey V. Chubukov

摘要:

分析了金属在波梅兰丘克量子相变(QPT)附近电子-电子相互作用对电阻率的影响。我们表明,Umklapp过程是不有效的QPT附近,必须考虑相互作用和无序获得有限的和T依赖的电阻率。通过功率计数,在Z=3 QPT附近,在低T下对剩余电阻率的校正标度为Δ T ^{(D+2)/3}。然而,我们表明,A=0的简单连接,凸费米面在2D中,由于隐藏的可积性的电子运动。我们认为,在一个两带(s-d)模型中,A >0,并提出这个模型作为所观察到的T^{(D+2)/3}行为的解释。

英文摘要:

We analyze the effect of the electron-electron interaction on the resistivity of a metal near a Pomeranchuk quantum phase transition (QPT). We show that Umklapp processes are not effective near a QPT, and one must consider both interactions and disorder to obtain finite and T dependent resistivity. By power counting, the correction to the residual resistivity at low T scales as AT^{(D+2)/3} near a Z=3 QPT. We show, however, that A=0 for a simply connected, convex Fermi surface in 2D, due to hidden integrability of the electron motion. We argue that A >0 in a two-band (s-d) model and propose this model as an explanation for the observed T^{(D+2)/3} behavior.

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