Transport properties of a quantum wire: the role of extended time-dependent impurities

Details Transport properties of a quantum wire: the role of extended time-dependent impurities Transport properties of a quantum wire: the role of extended time-dependent impurities

2006-09-15

arxiv.org/abs/cond-mat/0609372v1

Phys. Rev. B 75, 045345 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 5 figures

Scientific paper

10.1103/PhysRevB.75.045345

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\" uttiker-Landauer approach, we first consider the scattering of noninteracting electrons ($g=1$) by a rectangular-like barrier and find an exact solution for the backscattering current, as well as a perturbative solution for a weak static potential with an arbitrary shape. We then include electron-electron interactions and use the Keldysh formalism combined with the bosonization technique to study oscillating extended barriers. We show that the backscattering current off time-dependent impurities can be expressed in terms of the current for the corresponding static barrier. Then we determine the backscattering current for a static extended potential, which, in the limit of noninteracting electrons ($g=1$), coincides with the result obtained using the B\" uttiker-Landauer formalism. In particular, we find that the conductance can be increased beyond its quantized value in the whole range of repulsive interactions $0

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