Fermi surface instabilities at finite temperature

2012/07/31 by P. Rodríguez Ponte, Pablo Rodríguez Ponte, D. C. Cabra +3
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Fermi surface #Limit (mathematics) #Magnetic field #Organic and Molecular Conductors Research #Phase diagram #Physics of Superconductivity and Magnetism #Reentrancy #Surface (topology) #cond-mat.soft #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2012-30772-y

published as The European Physical Journal B, Volume 86, Issue 3, 2013 · 10 pages, 10 figures

openalex publication_date 2013/03/01 · arxiv created 2013/03/13 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Electronic Liquid Crystal State in the High-Temperature Superconductor YBa 2 Cu 3 O 6.45
• Dynamic Generation of Spin-Orbit Coupling
• Van Hove Singularity and Spontaneous Fermi Surface Symmetry Breaking in Sr3Ru2O7
• Liquid-crystal phases of quantum Hall systems
• Two-dimensional geometry of spin excitations in the high-transition-temperature superconductor YBa2Cu3O6+x
• Dynamical Layer Decoupling in a Stripe-Ordered High-TcSuperconductor
• Generalized Pomeranchuk instabilities in graphene
• Renormalized mean-field analysis of antiferromagnetism andd-wave superconductivity in the two-dimensional Hubbard model
• Electronic liquid-crystal phases of a doped Mott insulator
• Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Pomeranchuk instability: Symmetry-breaking and experimental signatures
• Quantum theory of a nematic Fermi fluid
• Competition of Fermi surface symmetry breaking and superconductivity
• Nematic Fermi Fluids in Condensed Matter Physics
• Formation of an electronic nematic phase in interacting fermion systems