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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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 a 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 the 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.

Original languageEnglish (US)
Article number106403
JournalPhysical review letters
Issue number10
StatePublished - Mar 8 2011


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