A model of non-Fermi liquid with power law resistivity: strange metal with a not-so-strange origin
arXiv:2402.10878
Abstract
We construct a model which exhibits resistivity going as a power law in temperature , as 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 spinon Fermi surface and a hole Fermi surface made out of doped holes. The key ingredient is a set of singular modes living on a ring in momentum space. Depending on parameters, 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 which is not so strange.
This version corrects the expression for the polarization function for q>ω^2/3. This does not change the resistivity exponent for σ>1/6. For σ<1/6 we now recovers the Fermi liquid limit, as seen in the updated fig 2