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WORLD SCIENTIFIC eBooks

Linear Interactions

Published Aug 13, 2017• 0 citations
Publisher
DOI
10.1142/9789813143340_0004

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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)nϕm(ψ^{\dagger}ψ)^nϕ^m(ψ†ψ)nϕm 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)(2+1)(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.