Hall angle of a spatially random vector model

Abstract

Strange metals exhibit linear resistivity and anomalous Hall transport, yet a comprehensive theory that accounts for both phenomena is still lacking. Recent studies have shown Sachdev-Ye-Kitaev-like spatially random couplings between a Fermi surface and a bosonic field, either scalar or vector type, can yield linear-T resistivity. In this paper, we continue the investigation of vector coupling in the presence of a magnetic field. We compute the fermion and boson propagators, along with the self-energy and polarization functions, and determine their dependence on the magnetic field. Although the Hall angle does not exhibit the signature of a strange metal, the linear-in-temperature resistivity remains at low temperatures. Results indicate that random interactions can robustly support linear transport, although additional ingredients may be required to capture the full phenomenology of strange metals.