Hall coefficient of the doped Mott insulator: A signature of parity violation

Abstract

We show that the Hall coefficient ${\mathit{R}}_{\mathit{H}}$ of a doped two-dimensional Mott insulator is temperature dependent in the state where long-range magnetic order vanishes. The Hall number ${\mathit{n}}_{\mathit{H}}$=${\mathit{R}}_{\mathit{H}}^{\mathrm{-}1}$ is linear in the doping density at high temperatures and decreases monotonically with decreasing temperature. At low temperatures ${\mathit{R}}_{\mathit{H}}$ diverges, indicating the possible onset of a phase with spontaneous chirality.