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Linear-T Resistivity from Spatially Random Vector Coupling
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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.
Forward citations
Cited by 2 Pith papers
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Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling
Only the two-dimensional spatially random Yukawa coupling, among all (ψ†ψ)^n φ^m scalar couplings, yields linear-in-temperature resistivity in the large-N SYK-rised framework.
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Hall Angle of a Spatially Random Vector Model
In a spatially random vector-coupling model with a magnetic field, linear-T resistivity persists while the Hall angle follows normal 1/T behavior rather than the strange-metal T^2 law.
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