Pseudogapped Fermi liquids from emergent quasiparticles

Fuente: arXiv
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Autori principali: Gleis, Andreas, Kotliar, Gabriel
Natura: Preprint
Pubblicazione: 2026
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author Gleis, Andreas
Kotliar, Gabriel
author_facet Gleis, Andreas
Kotliar, Gabriel
contents We propose an interacting model that is exactly solvable in any spatial dimension and gives rise to a Fermi liquid (FL) featuring a pseudogapped (PG) single-particle spectral function and a vanishing quasiparticle (QP) weight at half-filling, without invoking Mott physics. The PG originates from a purely fermionic mechanism through emergent QPs arising from a correlated hopping interaction. By employing an appropriate coherent-state basis, we derive a Gaussian path-integral representation of the partition function, which enables systematic treatments of deviations from the Gaussian limit using standard many-body techniques, such as diagrammatic perturbation theory or mean-field theory. We explicitly demonstrate and discuss several properties of the exactly solvable limit on the square lattice, including the mechanism for temperature-dependent PG opening, the singular behavior of the self-energy, the violation of the Luttinger sum rule, and the role of Luttinger and Fermi surfaces. Finally, we explore quantum phase transitions between PG-FLs and Landau FLs.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15560
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Pseudogapped Fermi liquids from emergent quasiparticles
Gleis, Andreas
Kotliar, Gabriel
Strongly Correlated Electrons
We propose an interacting model that is exactly solvable in any spatial dimension and gives rise to a Fermi liquid (FL) featuring a pseudogapped (PG) single-particle spectral function and a vanishing quasiparticle (QP) weight at half-filling, without invoking Mott physics. The PG originates from a purely fermionic mechanism through emergent QPs arising from a correlated hopping interaction. By employing an appropriate coherent-state basis, we derive a Gaussian path-integral representation of the partition function, which enables systematic treatments of deviations from the Gaussian limit using standard many-body techniques, such as diagrammatic perturbation theory or mean-field theory. We explicitly demonstrate and discuss several properties of the exactly solvable limit on the square lattice, including the mechanism for temperature-dependent PG opening, the singular behavior of the self-energy, the violation of the Luttinger sum rule, and the role of Luttinger and Fermi surfaces. Finally, we explore quantum phase transitions between PG-FLs and Landau FLs.
title Pseudogapped Fermi liquids from emergent quasiparticles
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2603.15560