Pumping current of a Luttinger liquid with finite length

Abstract

We study transport properties in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-length effects. By employing analytical methods and performing a perturbation theory, we compute the backscattering pumping current (I_bs) in different regimes which can be established in relation to the oscillatory frequency of the impurities and to the frequency related to the length and the renormalized velocity (by the electron-electron interactions) of the charge density modes. We investigate the role played by the spatial position of the impurity potentials. We also show how the previous infinite length results for I_bs are modified by the finite size of the system.

9 pages, 7 figures

References in corpus (13)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Driven quantum transport on the nanoscale
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
• Dynamic scattering channels of a double barrier structure
• Photovoltaic and Rectification Currents in Quantum Dots
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
• Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
• Quantum pump effect in one-dimensional systems of Dirac fermions
• Transient effects in the backscattered current of a Luttinger liquid
• Quantized charge pumping in superconducting double barrier structure : Non-trivial correlations due to proximity effect
• AC transport in carbon-based devices: challenges and perspectives