TY - JOUR

T1 - Resistivity of a non-Galilean-invariant Fermi liquid near Pomeranchuk quantum criticality

AU - Maslov, Dmitrii L.

AU - Yudson, Vladimir I.

AU - Chubukov, Andrey V.

PY - 2011/3/8

Y1 - 2011/3/8

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevLett.106.106403

DO - 10.1103/PhysRevLett.106.106403

M3 - Article

C2 - 21469816

AN - SCOPUS:79952389049

SN - 0031-9007

VL - 106

JO - Physical Review Letters

JF - Physical Review Letters

IS - 10

M1 - 106403

ER -