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Strongly correlated electrons driven by an electric field

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The out-of-equilibrium physics of correlated electrons is attracting a lot of interest, motivated by new experimental realizations in non-linear transport in devices, heterostructures and cold atoms. In this talk, I will focus on the Hubbard-U model driven out of equilibrium by a constant electric field E. I will briefly explain how one can solve the finite-U finite-E problem directly in the steady state (bypassing the transient dynamics) by means of a new dynamical mean-field theory. Afterwards, I will mainly discuss the fate of the Mott physics in the non-linear (strong E) regime by detailing two key features: – the dimensional crossover towards a lower dimensional system; – the dielectric breakdown of the Mott insulator.


C. Aron, G. Kotliar, C. Weber, Phys. Rev. Lett. 108, 086401 (2012)
C. Aron, arXiv:1203:3540 (2012)

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