Eur. Phys. J. B (2013) 86: 85
https://doi.org/10.1140/epjb/e2012-30772-y

Regular Article

Fermi surface instabilities at finite temperature

¹ Instituto de Física de La Plata and Departamento de Física, Universidad Nacional de La Plat, C.C. 67, 1900 La Plata, Argentina
² Abdus Salam International Centre for Theoretical Physics, Associate Scheme Strada Costiera 11, 34151 Trieste, Italy

^a e-mail: rponte@fisica.unlp.edu.ar

Received: 22 August 2012
Received in final form: 14 December 2012
Published online: 6 March 2013

Abstract

We present a new method to detect Fermi surface instabilities for interacting systems at finite temperature. We first apply it to a list of cases studied previously, recovering already known results in a very economic way, and obtaining most of the information on the phase diagram analytically. As an example, in the continuum limit we obtain the critical temperature as an implicit function of the magnetic field and the chemical potential T_c(μ,h). By applying the method to a model proposed to describe reentrant behavior in Sr₃Ru₂O₇, we reproduce the phase diagram obtained experimentally and show the presence of a non-Fermi Liquid region at temperatures above the nematic phase.