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

Agarwal, Amit and Sen, Diptiman (2007) Charge transport in a Tomonaga-Luttinger liquid: Effects of pumping and bias. In: Physical Review B: Condensed Matter and Materials Physics, 76 (3).

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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 < 1/2, 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-1/2 electrons.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Ms G Yashodha
Date Deposited: 12 Mar 2010 06:37
Last Modified: 19 Sep 2010 05:56
URI: http://eprints.iisc.ac.in/id/eprint/26129

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