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arXiv · 2406.11170

Linear-T Resistivity from Spatially Random Vector Coupling

Yi-Li Wang·Xian-Hui Ge·Sang-Jin Sin
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Abstract

Recently, Patel et al. introduced a higher dimensional version of the SYK model with random coupling in a Yukawa interaction to find the linear-$T$ resistivity. We test the universality of the mechanism by replacing the scalar field with a vector field in various dimensions. We find that it works for vector and scalar interactions, although the details are largely different. However, this mechanism for the linear-$T$ resistivity works only in $(2+1)$ dimensions and not in higher dimensions, regardless of the interaction type. Based on these results, we explore the r\^ole of spatial random disorder and find a simple explanation of how such random scattering converts the Fermi liquid to a strange metal by changing the self-energies of the involved bosons and fermions.

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Yi-Li Wang, Xian-Hui Ge, Sang-Jin Sin. 2024-06-17. Linear-T Resistivity from Spatially Random Vector Coupling. https://doi.org/10.1103/physrevb.111.115135

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