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arXiv · 1801.02866

Transport through Periodically Driven Correlated Quantum Wires

D. M. Kennes
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Abstract

We study correlated quantum wires subject to harmonic modulation of the onsite-potential concentrating on the limit of large times, where the response of the system has synchronized with the drive. We identify the ratio $Δε/Ω$ of the driving amplitude $Δε$ and the frequency of driving $Ω$ as the scale determining the crossover from a modified Luttinger liquid picture to a system that behaves effectively like a higher dimensional one. We exemplify this crossover by studying the frequency dependency of the boundary density of state $ρ_{\rm B}(ω)$ as well as the temperature dependency of the linear conductance $G(T)$ through the wire, if the latter is contacted to leads. Both observables are known to exhibit Luttinger liquid physics without driving given by characteristic power-law suppression as $ω\toε_{\rm F}$ (with $ε_{\rm F}$ the Fermi energy) or $T\to 0$, respectively. With driving we find that this suppression is modified from a single power-law to a superposition of an infinite number of power laws. At small $Δε/Ω\ll 1$ only a few terms of this infinite sum are relevant as the prefactors of higher terms are suppressed exponentially. Thus a picture similar to the equilibrium Luttinger liquid one emerges. Increasing $Δε/Ω$ an increasing number of power laws contribute to the sum and approaching $Δε/Ω\gg 1$ the system behaves effectively two dimensional, for which the suppression is wiped out completely.

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D. M. Kennes. 2018-01-09. Transport through Periodically Driven Correlated Quantum Wires. https://arxiv.org/abs/1801.02866

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