Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias

Agarwal, Amit ; Sen, Diptiman (2007) Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias Physical Review B: Condensed Matter and Materials Physics, 76 (3). 035308_1-035308_9. ISSN 1098-0121

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Official URL: http://prb.aps.org/abstract/PRB/v76/i3/e035308

Related URL: http://dx.doi.org/10.1103/PhysRevB.76.035308

Abstract

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, pointlike impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the impurity potentials. In the regime of small bias and low pumping frequency, both the dc and ac components of the current have power-law dependences on the bias and pumping frequencies with an exponent 2K−1 for spinless electrons, where K is the interaction parameter. For K<½, the current grows large for special values of the bias. For noninteracting electrons with K=1, our results agree with those obtained using Floquet scattering theory for Dirac fermions. We also discuss the cases of extended impurities and of spin-½ electrons.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:45549
Deposited On:28 Jun 2011 05:45
Last Modified:18 May 2016 01:47

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