• DOI:10.1103/PhysRevB.75.045345
• Corpus ID: 118864951

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

@article{Makogon2007TransportPO,
  title={Transport properties of a quantum wire: Role of extended time-dependent impurities},
  author={D. Makogon and Vladimir Juri{\vc}i{\'c} and C. Morais Smith},
  journal={Physical Review B},
  year={2007},
  volume={75}
}

• D. Makogon, V. Juričić, C. M. Smith
• Published 15 September 2006
• Physics
• Physical Review B

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 $0<g<1$ already in the case of a single oscillating extended impurity, in contrast %contrary to the case of a point-like impurity, where this phenomenon occurs only for $0<g<1/2$.