Harris disorder localizes bosonic modes in quantum-critical metals, inducing compact superconducting puddles at high T and extended pairing with power-law distributed scales at low T, unlike stretched-exponential tails in disordered BCS superconductors.
Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling
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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 $(\psi^{\dagger}\psi)^n\phi^m$ 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.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
A general construction of contact interactions from chord diagrams is developed to match AdS2 scalar contact Witten diagrams in the SYK model.
citing papers explorer
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Influence of Harris disorder on quantum-critical superconductivity
Harris disorder localizes bosonic modes in quantum-critical metals, inducing compact superconducting puddles at high T and extended pairing with power-law distributed scales at low T, unlike stretched-exponential tails in disordered BCS superconductors.
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Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams
A general construction of contact interactions from chord diagrams is developed to match AdS2 scalar contact Witten diagrams in the SYK model.