Equation of motion approach to non-adiabatic quantum charge pumping
arXiv:cond-mat/0603570 · doi:10.1088/0953-8984/19/4/046205
Abstract
We use the equations of motion of non-interacting electrons in a one-dimensional system to numerically study different aspects of charge pumping. We study the effects of the pumping frequency, amplitude, band filling and finite bias on the charge pumped per cycle, and the Fourier transforms of the charge and energy currents in the leads. Our method works for all values of parameters, and gives the complete time-dependences of the current and charge at any site of the system. Our results agree with Floquet and adiabatic scattering theory where these are applicable, and provides support for a mechanism proposed elsewhere for charge pumping by a traveling potential wave. For non-adiabatic and strong pumping, the charge and energy currents are found to have a marked asymmetry between the two leads, and pumping can work even against a substantial bias.
arXiv comment11 pages including 9 figures; expanded the paper to discuss left-right asymmetry of charge and energy currents, and effect of finite bias
References in corpus (33)
- Scattering approach to parametric pumping
- Driven quantum transport on the nanoscale
- An Adiabatic Quantum Electron Pump
- Floquet scattering theory of quantum pumps
- Adiabatic transport in nanostructures
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling
- Optimal Quantum Pumps
- Rectification of displacement currents in an adiabatic electron pump
- A Green-function approach to transport phenomena in quantum pumps
- Charge Pumping in Carbon Nanotubes
- Non-equilibrium Green's function formalism and the problem of bound states
- Approach to steady state transport in nanoscale conductors
- Parametric pumping at finite frequency
- Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
- Non-adiabaticity and single-electron transport driven by surface acoustic waves
- Quantum transport using the Ford-Kac-Mazur formalism
- Resonance approximation and charge loading/unloading in adiabatic quantum pumping
- Floquet scattering in parametric electron pumps
- Transport and Dissipation in Quantum Pumps
- Quantized Adiabatic Charge Transport in a Carbon Nanotube
- Non-adiabatic charge pump: an exact solution
- How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel
- Quantized adiabatic charge pumping and resonant transmission
- Adiabatic charge and spin transport in interacting quantum wires
- Hidden quantum pump effects in quantum coherent rings
- Quantized pumped charge due to surface acoustic waves in a 1D channel
- Properties of 1D two-barrier quantum pump with harmonically oscillating barriers
- Symmetry and environment effects on rectification mechanisms in quantum pumps
- Quantized acoustoelectric current in a finite-length ballistic quantum channel: The noise spectrum
- Effects of interaction on an adiabatic quantum electron pump
- Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
- Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels
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- Spin-flip scattering in time-dependent transport through a quantum dot: Enhanced spin-current and inverse tunneling magnetoresistance
- Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
- Driving particle current through narrow channels using classical pump
- Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potential
- Non-adiabatic transport in a quantum dot turnstile
- Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
- Effects of local periodic driving on transport and generation of bound states
- Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
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- Numerical study of parametric pumping current in mesoscopic systems in the presence of magnetic field
- Pumped shot noise in adiabatically modulated graphene-based double-barrier structures
- Quantum pumping of electrons by a moving modulated potential
- Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials
- Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
- Coherent magnetotransport and time-dependent transport through split-gated quantum constrictions
- Pumping in quantum dots and non-Abelian matrix Berry phases
- Non-adiabatic quantum pumping by a randomly moving quantum dot