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arXiv · 1007.3383

Nonlinear current response of an isolated system of interacting fermions

Marcin Mierzejewski·Peter Prelovsek
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Abstract

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a non-integrable case at finite temperatures the major effect of nonlinearity can be taken into account within the linear response formalism extended by a renormalization of the kinetic energy due to the Joule heating. On the other hand, integrable systems show on constant driving a different universality with a damped oscillating current whereby the frequency is related but not equal to the Bloch oscillations.

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Marcin Mierzejewski, Peter Prelovsek. 2010-07-20. Nonlinear current response of an isolated system of interacting fermions. https://doi.org/10.1103/physrevlett.105.186405

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