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

Abstract

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 $0<g<1/2$.

9 pages, 5 figures

References in corpus (5)

• Coherent electronic transport in a multimode quantum channel with Gaussian-type scatterers
• Rectification in Luttinger liquids
• Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
• Tunneling in Fractional Quantum Hall line junctions
• Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems

Cited by in corpus (7)

• Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
• Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potential
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Current enhancement through a time dependent constriction in fractional topological insulators
• Pumping current and conductance of a Luttinger liquid in the presence of two time-dependent impurities at finite temperature
• Backscattering off a driven Rashba impurity at the helical edge