Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems

TL;DR

This paper investigates how spin susceptibility in two-dimensional Fermi liquids varies with temperature, highlighting the role of quasiparticle rescattering and renormalization effects in the Cooper channel.

Contribution

It introduces a detailed analysis of temperature dependence of spin susceptibility considering Cooper channel rescattering and renormalization effects in 2D electron systems.

Findings

Rescattering in the Cooper channel significantly affects temperature dependence.

Strong renormalizations can cause the sign change in the temperature derivative.

Linear in T term is calculated using angular harmonics in the Cooper channel.

Abstract

We consider the non-analytic terms in the spin susceptibility arising as a result of rescaterring of pairs of quasiparticles. We emphasize the importance of rescattering in the Cooper channel for the analysis of the temperature dependences in the two-dimensional electron systems in the ballistic regime. In the calculation of the linear in $T$ term we use angular harmonics in the Cooper channel, because for each harmonic the interaction amplitude is renormalized independently. We observe, that as a consequence of strong renormalizations in the Cooper ladder, the temperature derivative of the spin susceptibility may change its sign at low temperatures.