Spin-Dependent Correlations of Fermi Liquids at Nonzero Temperatures within Correlated Density-Matrix Approach

TL;DR

This paper extends correlated density matrix theory to analyze equilibrium properties of normal Fermi liquids like 3He and nuclear matter at finite temperatures, providing a framework to evaluate thermodynamic quantities.

Contribution

It generalizes the correlated density matrix approach and Fermi-hypernetted-chain technique to finite temperatures, incorporating renormalized particles for direct thermodynamic calculations.

Findings

Quantitative evaluation of entropy and specific heat at nonzero temperatures.

Extension of hypernetted-chain technique to finite-temperature Fermi liquids.

Formalism for calculating thermodynamic properties of correlated fermion systems.

Abstract

Correlated density matrix theory is generalized to investigate equilibrium properties of normal Fermi Liquids such as 3He and nuclear matter at nonzero temperatures. The results also generalize the Fermi-hypernetted-chain technique that is familiar from studies of the ground state of correlated fermions. By employing the concept of renormalized bosons and fermions the formal results are cast in a form that permits the direct evaluation of the statistical properties of the correlated liquid such as the entropy and the specific heat at constant volume among other quantities.