Spin- and Isospin-Dependent Momentum Distributions in Fermi Liquids at Non-zero Temperatures

TL;DR

This paper investigates how spin and isospin influence momentum distributions in Fermi liquids at finite temperatures, using correlated density matrix theory to distinguish between statistical and dynamic correlations.

Contribution

It introduces an adapted algorithm for spin- and isospin-dependent correlations within the correlated density matrix framework, enabling analysis of thermal phase boundaries in Fermi liquids.

Findings

Distinguished statistical from dynamic correlations in momentum distributions.

Provided insights into thermal boundaries of normal Fermi phases.

Discussed potential phase transitions to anomalous fermion phases.

Abstract

We explore the structure of momentum distributions of Fermi liquids such as completely polarized 3He, unpolarized liquid 3He, and nuclear matter at nonzero temperatures. The study employs correlated density matrix theory and adapts the algorithm to deal with spin- and isospin-dependent correlations. The analysis is based on the factor decomposition of the one-body reduced density matrix. The decomposition permits to distinguish between statistical correlations and dynamic (direct) correlations. Together with the concept of renormalized fermions the formal results open the pathway to investigate the thermal boundaries of normal Fermi phases within correlated density matrix theory. We also discuss possible transitions from normal phases to anomalous fermion phases triggered by statistical correlations or by periodic phase-phase structures.