Pumping current of a Luttinger liquid with finite length
arXiv:1203.3784 · doi:10.1140/epjb/e2012-20928-2
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.
arXiv comment9 pages, 7 figures
References in corpus (39)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Bosonization and Strongly Correlated Systems
- Scattering approach to parametric pumping
- Driven quantum transport on the nanoscale
- An Adiabatic Quantum Electron Pump
- Photon-assisted transport in semiconductor nanostructures
- Floquet scattering theory of quantum pumps
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Dissipation and noise in adiabatic quantum pumps
- Quantum pump for spin and charge transport in a Luttinger liquid
- Charge Pumping in Carbon Nanotubes
- Bosonization of one dimensional fermions out of equilibrium
- Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
- 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
- Single-parameter pumping in graphene
- Pumped current and voltage for an adiabatic quantum pump
- How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel
- Dynamic scattering channels of a double barrier structure
- Photovoltaic and Rectification Currents in Quantum Dots
- Adiabatic charge and spin transport in interacting quantum wires
- Bosonization out of equilibrium
- Oscillatory non-linear conductance of an interacting quantum wire with an impurity
- Correlation induced memory effects in the transport properties of low dimensional systems
- Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
- Symmetry and environment effects on rectification mechanisms in quantum pumps
- Quantum pumping: Coherent Rings versus Open Conductors
- 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
- Transport of a Luttinger liquid in the presence of a time dependent impurity
- Non-equilibrium tunneling into general quantum Hall edge states
- Quantum charge pumping through a superconducting double barrier structure in graphene
- From Tomonaga-Luttinger to Fermi liquid in transport through a tunneling barrier
- Pumping current and conductance of a Luttinger liquid in the presence of two time-dependent impurities at finite temperature
- AC transport in carbon-based devices: challenges and perspectives
- 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
- Transient and finite size effects in transport properties of a quantum wire