Correlation induced memory effects in the transport properties of low dimensional systems

Details Correlation induced memory effects in the transport properties of low dimensional systems Correlation induced memory effects in the transport properties of low dimensional systems

2010-05-18

arxiv.org/abs/1005.3127v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To appear in Phys. Rev. Lett

Scientific paper

We demonstrate the remnant presence of {\em initial} correlations in the {\em steady-state} electrical current flowing between low-dimensional interacting leads. The leads are described as Luttinger liquids and electrons can tunnel via a quantum point-contact. We derive an analytic result for the time-dependent current and show that ground-state correlations have a large impact on the relaxation and long-time behavior. In particular, the I-V characteristic cannot be reproduced by quenching the interaction in time. We further present a universal formula of the steady-state current $j_{S}$ for an arbitrary sequence of interaction quenches. It is established that $j_{S}$ is history dependent provided that the switching process is non-smooth.

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