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Current bistability and hysteresis in strongly correlated quantum wires

R. Egger·H. Grabert·A. Koutouza·H. Saleur·F. Siano
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Abstract

Nonequilibrium transport properties are determined exactly for an adiabatically connected single channel quantum wire containing one impurity. Employing the Luttinger liquid model with interaction parameter $g$, for very strong interactions $g\lapx 0.2$, and sufficiently low temperatures, we find an S-shaped current-voltage relation. The unstable branch with negative differential conductance gives rise to current oscillations and hysteretic effects. These non perturbative and non linear features appear only out of equilibrium.

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R. Egger, H. Grabert, A. Koutouza, H. Saleur, F. Siano. 2000-02-18. Current bistability and hysteresis in strongly correlated quantum wires. https://doi.org/10.1103/physrevlett.84.3682

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