On apparent breaking the second law of thermodynamics in quantum transport studies

Details On apparent breaking the second law of thermodynamics in quantum transport studies On apparent breaking the second law of thermodynamics in quantum transport studies

2002-04-14

arxiv.org/abs/cond-mat/0204302v1

Europhys. Lett., 59 (5), pp. 648-654 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1209/epl/i2002-00174-3

We consider a model for stationary electronic transport through a one-dimensional chain of two leads attached to a perturbed central region (quantum dot) in the regime where the theory proposed recently by Capek for a similar model of phonon transport predicts the striking phenomenon of a permanent current between the leads. This result based on a rigorous but asymptotic Davies theory is at variance with the zero current yielded by direct transport calculations which can be carried out in the present model. We find the permanent current to be within the error of the asymptotic expansion for finite couplings, and identify cancelling terms of the same order.

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