Landau-Fermi liquids without quasiparticles

Abstract

Landau-Fermi liquid theory is conventionally believed to hold whenever the interacting single-particle density of states develops a $\delta$-like component at the Fermi surface, which is associated with quasiparticles. Here we show that a microscopic justification can be actually achieved under more general circumstances, even in case coherent quasiparticles are totally missing and the interacting single-particle density of states vanishes at the chemical potential as consequence of a pole singularity in the self-energy.

arXiv comment9 pages

References in corpus (13)

• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• Non-analytic corrections to the Fermi-liquid behavior
• Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson Impurity Model
• First-Matsubara-frequency rule in a Fermi liquid. Part I: Fermionic self-energy
• Topological interpretation of Luttinger theorem
• Luttinger's Theorem and Bosonization of the Fermi Surface
• Strong Correlations in a nutshell
• Necessary and Sufficient Conditions for the Validity of Luttinger's Theorem
• Interacting fermions in two dimensions: beyond the perturbation theory
• Spectral Function of 2D Fermi Liquids

Cited by in corpus (4)

• Luttinger's theorem in presence of Luttinger surfaces
• Edge zeros and boundary spinons in topological Mott insulators
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles