Nonlinear ac conductivity of interacting 1d electron systems

Abstract

We consider low energy charge transport in one-dimensional (1d) electron systems with short range interactions under the influence of a random potential. Combining RG and instanton methods, we calculate the nonlinear ac conductivity and discuss the crossover between the nonanalytic field dependence of the electric current at zero frequency and the linear ac conductivity at small electric fields and finite frequency.

8 pages, 2 figures; extended and revised version

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• Regimes of heating and dynamical response in driven many-body localized systems
• Asymptotically exact theory for nonlinear spectroscopy of random quantum magnets
• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• The Effect of Randomness on the Mott State
• Dynamical conductivity of disordered quantum chains
• Nonlinear ac conductivity of one-dimensional Mott insulators
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas