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

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.

published version

References in corpus (4)

• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Spin-fluctuation dominated electrical transport of Ni3Al at high pressure
• Electrical resistivity near Pomeranchuk instability in two dimensions
• A controlled expansion for certain non-Fermi liquid metals

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