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arXiv · 1012.0069

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

Dmitrii L. Maslov·Vladimir I. Yudson·Andrey V. Chubukov
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Abstract

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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Dmitrii L. Maslov, Vladimir I. Yudson, Andrey V. Chubukov. 2011-03-08. Resistivity of a non-Galilean--invariant Fermi Liquid near Pomeranchuk Quantum Criticality. https://doi.org/10.1103/physrevlett.106.106403

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