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Model of a non-Fermi liquid with power-law resistivity: Strange metal with a not-so-strange origin

Patrick A. Lee

Phys. Rev. B 110, L121110 – Published 13 September, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.L121110

Abstract

We construct a model that exhibits resistivity going as a power law in temperature T, as Tα down to the lowest temperature. There is no residual resistivity because we assume the absence of disorder and momentum relaxation is due to umklapp scattering. Our model consists of a quantum spin liquid state with a spinon Fermi surface and a hole Fermi surface made out of doped holes. The key ingredient is a set of singular 2kF modes living on a ring in momentum space. Depending on parameters, α may be unity (strange metal) or even smaller. The model may be applicable to a doped organic compound, which has been found to exhibit linear T resistivity. We conclude that it is possible to obtain strange metal behavior starting with a model that is not so strange.

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