Universal Theory of Incoherent Metals

Fuente: arXiv
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Auteurs principaux: Kleger, Aaron, Gnezdilov, Nikolay, Boyack, Rufus
Format: Preprint
Publié: 2026
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author Kleger, Aaron
Gnezdilov, Nikolay
Boyack, Rufus
author_facet Kleger, Aaron
Gnezdilov, Nikolay
Boyack, Rufus
contents Numerous unconventional superconductors such as cuprates, heavy-fermions, and twisted-bilayer graphene exhibit incoherent metallic transport above the superconducting critical temperature. This phenomenon cannot be described with Fermi-liquid theory and has presented a significant theoretical challenge to overcome. We utilize the two-dimensional Yukawa-SYK model of fermions with spatially random coupling to quantum-critical bosons to study transport in a manner which is non-perturbative in the coupling strength. Our work provides a microscopic model of quantum-critical incoherent metals and their concomitant properties, including a non-Boltzmann transport formula between resistivity and quasi-particle lifetime, violation of the Mott-Ioffe-Regel resistivity bound, and violation of the Kovtun-Son-Starinets shear viscosity to entropy density bound.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03013
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Universal Theory of Incoherent Metals
Kleger, Aaron
Gnezdilov, Nikolay
Boyack, Rufus
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
Numerous unconventional superconductors such as cuprates, heavy-fermions, and twisted-bilayer graphene exhibit incoherent metallic transport above the superconducting critical temperature. This phenomenon cannot be described with Fermi-liquid theory and has presented a significant theoretical challenge to overcome. We utilize the two-dimensional Yukawa-SYK model of fermions with spatially random coupling to quantum-critical bosons to study transport in a manner which is non-perturbative in the coupling strength. Our work provides a microscopic model of quantum-critical incoherent metals and their concomitant properties, including a non-Boltzmann transport formula between resistivity and quasi-particle lifetime, violation of the Mott-Ioffe-Regel resistivity bound, and violation of the Kovtun-Son-Starinets shear viscosity to entropy density bound.
title Universal Theory of Incoherent Metals
topic Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
url https://arxiv.org/abs/2605.03013