Cooper channel and the singularities in the thermodynamics of a Fermi liquid

Details Cooper channel and the singularities in the thermodynamics of a Fermi liquid Cooper channel and the singularities in the thermodynamics of a Fermi liquid

2007-04-26

arxiv.org/abs/0704.3457v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.76.165111

We analyze how the logarithmic renormalizations in the Cooper channel affect the non-analytic temperature dependence of the specific heat coefficient \gamma (T) - \gamma (0)=A(T)T in a 2D Fermi liquid. We show that A(T) is expressed exactly in terms of the fully renormalized backscattering amplitude which includes the renormalization in the Cooper channel. In contrast to the 1D case, both charge and spin components of the backscattering amplitudes are subject to this renormalization. We show that the logarithmic renormalization of the charge amplitude vanishes for a flat Fermi surface, when the system becomes effectively one-dimensional.

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