On the normal phase of 2D Fermi liquid with weak attraction between particles

TL;DR

This paper investigates the properties of a 2D Fermi liquid with weak attraction, showing how fluctuations affect quasiparticle behavior and linking these effects to phenomena observed in high-temperature superconductors.

Contribution

It introduces a field theoretical model for 2D Fermi liquids that accounts for order parameter fluctuations, revealing their impact on quasiparticle properties and potential relevance to high-$T_c$ superconductivity.

Findings

Fluctuations significantly reduce quasiparticle weight.

Quasiparticle damping depends linearly on temperature.

Model relates 2D Fermi liquid behavior to high-$T_c$ superconductor properties.

Abstract

Proceeding from the simplest field theoretical model of 2D metal, the normal phase Green functions of the weakly interacting fermions and the order parameter fluctuations (responsible for the attraction between fermions) are obtained. It is shown that taking into consideration the fluctuations mentioned leads to a considerable reduction of the fermion wave function renormalization constant (quasiparticle weight) as well as to a linear dependence of the quasiparticle damping on the temperature. A general dependence of 2D Fermi liquid properties on the fermion density is discussed. The relevance of the proposed model to the marginal behavior of the Fermi liquid of high--$T_c$ superconductors, in particular, to their linear temperature dependence of the resistivity is indicated.