Renormalization group approach of itinerant electron systems near the Lifshitz point

TL;DR

This paper applies a renormalization group method to study magnetic fluctuations near the Lifshitz point in itinerant electron systems, revealing non-Fermi liquid behavior consistent with experimental data.

Contribution

It extends the renormalization approach to analyze specific heat near the Lifshitz point, providing theoretical results that match experimental observations.

Findings

Constant specific heat coefficient for /5 exponent

Logarithmic temperature dependence of /5 behavior

Agreement with experimental data on non-Fermi liquid behavior

Abstract

Using the renormalization approach proposed by Millis for the itinerant electron systems we calculated the specific heat coefficient $\gamma(T)$ for the magnetic fluctuations with susceptibility $\chi^{-1}\sim |\delta+\omega|^\alpha+f(q)$ near the Lifshitz point. The constant value obtained for $\alpha=4/5$ and the logarithmic temperature dependence, specific for the non-Fermi behavior, have been obtained in agreement with the experimental dat.