Impurity scattering in unconventional density waves: non-crossing approximation for arbitrary scattering rate

TL;DR

This paper provides a comprehensive theoretical analysis of how non-magnetic impurities affect the thermodynamic properties of unconventional density waves in quasi-one-dimensional systems, covering all scattering regimes.

Contribution

It introduces a full self-energy calculation that accounts for all ladder and rainbow diagrams, enabling exact results across all impurity concentrations and scattering rates.

Findings

Density of states calculations for various impurity levels.

Specific heat variations with impurity scattering.

Chemical potential shifts due to impurities.

Abstract

We present a detailed theoretical study on the thermodynamic properties of impure quasi-one dimensional unconventional charge-, and spin-density waves in the framework of mean-field theory. The impurities are of the ordinary non-magnetic type. Making use of the full self-energy that takes into account all ladder-, and rainbow-type diagrams, we are able to calculate the relevant low temperature quantities for arbitrary impurity concentration and scattering rates. These are the density of states, specific heat and the shift in the chemical potential. Our results therefore cover the whole parameter space: they include both the self-consistent Born and the resonant unitary limits, and most importantly give exact results in between.