Quantum pumping of electrons by a moving modulated potential
arXiv:0801.0420 · doi:10.1103/PhysRevB.77.155319
Abstract
Quantum pumping holds great potential for future applications in micro- and nanotechnology. Its main feature, dissipationless charge transport, is theoretically possible via several different mechanisms. However, since no unambiguous verification has been demonstrated experimentally, the question of finding a viable mechanism for pumping remains open. Here we study quantum pumping in an one dimensional electron waveguide with a single time-dependent barrier. The quantum pumping of electrons using a potential barrier whose height and position are harmonically varied is analyzed analytically and by numerically solving the time-dependent Schr{ö}dinger equation. The pumped charge is modeled analytically by including two contributions in linear response theory. First, the scattering of electrons off a potential moving slowly through matter-waves gives a contribution independent of the translational velocity of the potential. Second, Doppler-shifted scattering events give rise to a velocity dependent contribution, which is found in general to be small in comparison with the first one. The relative phase between the oscillations of the height and position is found to be the factor that determines to what extent either contribution is present.
References in corpus (19)
- Scattering approach to parametric pumping
- An Adiabatic Quantum Electron Pump
- Floquet scattering theory of quantum pumps
- An Adiabatic Quantum Pump of Spin Polarized Current
- Adiabatic charge pumping in almost open dots
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Rectification of displacement currents in an adiabatic electron pump
- Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
- Pumping at resonant transmission and transferred charge quantization
- Quantized charge pumping through a quantum dot by surface acoustic waves
- Floquet scattering in parametric electron pumps
- Quantized adiabatic charge pumping and resonant transmission
- Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
- Photovoltaic and Rectification Currents in Quantum Dots
- Equation of motion approach to non-adiabatic quantum charge pumping
- Time-Energy coherent states and adiabatic scattering
- Controlled Flow of Spin-Entangled Electrons via Adiabatic Quantum Pumping
- Quantum pumping: The charge transported due to a translation of a scatterer
- Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels