Nonequilibrium steady state of the voltage driven Mott insulator

The equilibrium thermal physics of the Mott insulator and the Mott transition is reasonably well understood. There are also studies that  probe the voltage bias driven metallisation of the T=0 Mott state. How do thermal effects interplay with a bias - well beyond the regime of linear response? I will describe a semiclassical Langevin dynamics scheme that explores the nonequilibrium steady state across the bias and/or temperature driven insulator-metal phase boundary. Our "real time" approach allows access to  spectral properties and the current in this driven system. I will a suggest a qualitative explanation for the observed effects in terms of strong amplitude fluctuation of local moments in the driven thermal state.