Nonlinear current response of an isolated system of interacting fermions

Details Nonlinear current response of an isolated system of interacting fermions Nonlinear current response of an isolated system of interacting fermions

2010-07-20

arxiv.org/abs/1007.3383v1

Phys. Rev. Lett. 105, 186405 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.105.186405

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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