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

Abstract

We analyze how the logarithmic renormalizations in the Cooper channel affect the non-analytic temperature dependence of the specific heat coefficient γ(T) - γ(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.

5 pages, 1 figure

References in corpus (5)

• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• The effect of Fermi surface curvature on low-energy properties of fermions with singular interactions
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems

Cited by in corpus (4)

• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
• Specific heat of a one-dimensional interacting Fermi system: the role of anomalies
• One-dimensional scattering of two-dimensional fermions near quantum criticality