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}
}
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… 
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