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arXiv · 2507.09442

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

Sang-Jin Sin·Yi-Li Wang
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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.

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Sang-Jin Sin, Yi-Li Wang. 2025-07-13. Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling. https://arxiv.org/abs/2507.09442

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