Non-Fermi liquids at finite temperature: normal state and infrared singularities

Abstract

We analyze quantum criticality at finite temperature for a class of non-Fermi liquids with massless bosons. Finite temperature gives rise to new infrared singularities that invalidate standard perturbative treatments. We show how such divergences are resolved at a non-perturbative level, and obtain the resulting fermion self-energy. This leads to a new "thermal" non-Fermi liquid regime that extends over a wide range of frequencies, and which is absent from the zero temperature critical point. We analyze the resulting quantum critical region and properties of the retarded Green's function. More generally, such effects dominate in the nearly static limit and are expected to have a nontrivial impact on superconductivity and transport.

arXiv comment20 pages, 5 figures

References in corpus (19)

• Renormalization Group Approach to Interacting Fermions
• Quantum Criticality in Heavy Fermion Metals
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the low energy properies of fermions with singular interactions
• Scattering and Pairing in Cuprate Superconductors
• Singular Fermi Liquids
• Are non-Fermi-liquids stable to Cooper pairing?
• Low Energy Dynamics of the Spinon-Gauge System
• Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals
• Non-Fermi liquid behavior of large N_B quantum critical metals
• Lifetimes of quasiparticles and collective excitations in hot QED plasmas
• Metallic quantum critical points with finite BCS couplings
• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• Quantum-critical pairing with varying exponents
• Quantum critical metals in $4-\epsilon$ dimensions
• Damping Rate of Quasiparticles in Degenerate Ultrarelativistic Plasmas
• Non-Fermi liquid Superconductivity: Eliashberg versus the Renormalization Group
• Non-perturbative emergence of non-Fermi liquid behaviour in $d=2$ quantum critical metals

Cited by in corpus (10)

• Normal state properties of quantum critical metals at finite temperature
• How non-Fermi liquids cure their infrared divergences
• Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
• Superconductivity vs quantum criticality: effects of thermal fluctuations
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Free energy and specific heat near a quantum critical point of a metal
• Non-Fermi Liquids from Dipolar Symmetry Breaking
• Entropy and de Haas-van Alphen oscillations of a three-dimensional marginal Fermi liquid
• Instabilities of quantum critical metals in the limit $N_f\to 0$
• Superconductivity near an Ising nematic quantum critical point in two dimensions