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arXiv · 1107.2889

Transport properties of a boundary-driven one-dimensional gas of spinless fermions

Marko Znidaric·Bojan Zunkovic·Tomaz Prosen
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Abstract

We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. Various transport regimes can be observed: at zero driving frequency the particle current through the system is independent of the system's length; at the phase-transition frequency, being equal to the bandwidth, the current decays as n^{-alpha} with the chain length n, alpha being either 2 or 3; below the transition the scaling of the current is n^{-1/2}, indicating anomalous transport, while it is exponentially small exp{(-n/2xi)} above the transition. Therefore, by a simple change of frequency of the a.c. driving one can vary transport from ballistic, anomalous, to insulating.

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Marko Znidaric, Bojan Zunkovic, Tomaz Prosen. 2011-11-21. Transport properties of a boundary-driven one-dimensional gas of spinless fermions. https://doi.org/10.1103/physreve.84.051115

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