Compact Representation for Specific Heat of Interacting Fermion Systems in Terms of Fully Renormalized Matsubara Green Function

TL;DR

This paper derives a compact formula for the specific heat of interacting fermion systems using the Luttinger-Ward formalism and the fully renormalized Matsubara Green function, facilitating better theoretical understanding.

Contribution

It introduces a new, concise representation of the specific heat in terms of the fully renormalized Green function within the Luttinger-Ward framework.

Findings

Provides a compact expression for specific heat

Links thermodynamic properties to Green function formalism

Enhances theoretical analysis of fermion systems

Abstract

On the basis of the Luttinger-Ward formalism for the thermodynamic potential, the specific heat of single-component interacting fermion systems with fixed chemical potential is compactly expressed in terms of the fully renormalized Matsubara Green function.