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

Marko Znidaric, Bojan Zunkovic

(Submitted on 14 Jul 2011)

We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. The physics is very rich: 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.

Comments:	8 pages, 9 figure
Subjects:	Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el)
Cite as:	arXiv:1107.2889v1 [quant-ph]