Comment on ``Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices''

Details Comment on ``Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices'' Comment on ``Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices''

1997-08-21

arxiv.org/abs/cond-mat/9708163v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

2 pages, Revtex

Scientific paper

Fendley, Ludwig and Saleur [Phys. Rev. B52 (1995) 8934] have obtained an expression for the non-equilibrium current through a constriction in the quantum Hall bar based on the Bethe ansatz technique and the Bolzmann equation. In this Comment we draw attention to a serious flaw in their derivation. We argue that their result is correct in the linear response limit but should be taken with a care out of equilibrium for finite bias. The reason is in the use of the equilibrium scattering matrix in the place of the transition probability amplitude out of equilibrium, the substitution which was not shown to be legimate.

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