Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling

2025/07/13 by Sang-Jin Sin, Yili Wang, Sin, Sang-Jin +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysical Methods and Applications #High Energy Physics - Theory (hep-th) #Microwave Imaging and Scattering Analysis #Quantum optics and atomic interactions #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2507.09442

openalex publication_date 2025/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Recent studies have shown that a spatially random Yukawa-type interaction between a Fermi surface and critical bosons can produce linear-in-temperature resistivity, the defining signature of strange metals. In this article, we systematically classify all scalar couplings of the form (ψ^†ψ)ⁿϕ^m in arbitrary dimensions to identify possible candidates for strange-metal behaviour within this disordered framework. We find that only spatially random Yukawa-type interaction in (2+1) dimensions can yield linear resistivity. This indicates that linear resistivity is not a universal property of all spatially random scalar coupling, and strange-metal property replies on both dimensions and interaction type.

Citations

• Hall Angle of a Spatially Random Vector Model
• Sachdev-Ye-Kitaev models and beyond: Window into non-Fermi liquids
• Colloquium : Planckian dissipation in metals
• Colloquium: Linear in temperature resistivity and associated mysteries including high temperature superconductivity
• Cool horizons for entangled black holes
• Doping a Mott Insulator: Physics of High Temperature Superconductivity

Related

• Hall Angle of a Spatially Random Vector Model
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Strong non-linear response of strange metals
• Theory of Linear Magnetoresistance in a Strange Metal
• Theory of a Strange Metal in a Quantum Superconductor to Metal Transition