Adiabatic quantum pump in the presence of external ac voltages
arXiv:cond-mat/0309644 · doi:10.1103/PhysRevB.69.205316
Abstract
We investigate a quantum pump which in addition to its dynamic pump parameters is subject to oscillating external potentials applied to the contacts of the sample. Of interest is the rectification of the ac currents flowing through the mesoscopic scatterer and their interplay with the quantum pump effect. We calculate the adiabatic dc current arising under the simultaneous action of both the quantum pump effect and classical rectification. In addition to two known terms we find a third novel contribution which arises from the interference of the ac currents generated by the external potentials and the ac currents generated by the pump. The interference contribution renormalizes both the quantum pump effect and the ac rectification effect. Analysis of this interference effect requires a calculation of the Floquet scattering matrix beyond the adiabatic approximation based on the frozen scattering matrix alone. The results permit us to find the instantaneous current. In addition to the current generated by the oscillating potentials, and the ac current due to the variation of the charge of the frozen scatterer, there is a third contribution which represents the ac currents generated by an oscillating scatterer. We argue that the resulting pump effect can be viewed as a quantum rectification of the instantaneous ac currents generated by the oscillating scatterer. These instantaneous currents are an intrinsic property of a nonstationary scattering process.
arXiv comment11 pages, 1 figure
References in corpus (37)
- Scattering approach to parametric pumping
- An Adiabatic Quantum Electron Pump
- Evidence for a New Dissipationless Regime in 2D Electronic Transport
- Floquet scattering theory of quantum pumps
- Experimental Realization of a Quantum Spin Pump
- Mesoscopic mechanism of adiabatic charge transport
- Dissipation and noise in adiabatic quantum pumps
- Adiabatic charge pumping in almost open dots
- Adiabatic transport in nanostructures
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
- Charge Pumping and Photovoltaic effect in Open Quantum Dots
- Optimal Quantum Pumps
- Pumping spin with electrical fields
- Rectification of displacement currents in an adiabatic electron pump
- Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
- Quantum partition noise of photo-created electron-hole pairs
- Effect of inelastic scattering on parametric pumping
- Counting Statistics of an Adiabatic Pump
- Floquet scattering in parametric electron pumps
- Adiabatic spin pumping through a quantum dot with a single orbital level
- Pumped current and voltage for an adiabatic quantum pump
- Non-adiabatic charge pump: an exact solution
- Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps
- Noise through Quantum Pumps
- Heat current in parametric quantum pump
- Scattering matrix ensemble for time-dependent transport through a chaotic quantum dot
- Adiabatic charge and spin transport in interacting quantum wires
- Quantum pumping and dissipation: from closed to open systems
- Charge pumping in a quantum wire driven by a series of local time-periodic potentials
- Hidden quantum pump effects in quantum coherent rings
- Non-adiabatic current generation in a finite width semiconductor ring
- Nonadiabatic quantum pumping in mesoscopic nanostructures
- Time-Energy coherent states and adiabatic scattering
- Statistical fluctuations of pumping and rectification currents in quantum dots
- Quantum Pumping and Quantized Magnetoresistance in a Hall Bar
- Measuring geometric phases of scattering states in nanoscale electronic devices
Cited by in corpus (78)
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Dynamical energy transfer in ac driven quantum systems
- Current induced light emission and light induced current in molecular tunneling junctions
- Scattering theory of current-induced forces in mesoscopic systems
- Current-induced forces in mesoscopic systems: a scattering matrix approach
- A Green-function approach to transport phenomena in quantum pumps
- Quantized dynamics of a coherent capacitor
- Optical properties of current carrying molecular wires
- Adiabatic response and quantum thermoelectrics for ac driven quantum systems
- Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
- Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
- Dynamics of energy transport and entropy production in ac-driven quantum electron systems
- Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
- Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
- Heat production and current noise for single- and double-cavity quantum capacitors
- Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
- Vibrational cooling and thermoelectric response of nanoelectromechanical systems
- Current-induced switching in transport through anisotropic magnetic molecules
- Scattering Theory of Dynamic Electrical Transport
- Non-linear Magnetoresistance Oscillations in Intensely Irradiated Two-Dimensional Electron Systems Induced by Multi-Photon Processes
- Time-resolved noise of adiabatic quantum pumps
- Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
- Landauer-Büttiker approach to strongly coupled quantum thermodynamics: inside-outside duality of entropy evolution
- Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
- Photoconductance of organic single-molecule contacts
- Dynamic scattering channels of a double barrier structure
- Photovoltaic and Rectification Currents in Quantum Dots
- Interaction-induced adiabatic non-linear transport
- Spectroscopy of electron flows with single- and two-particle emitters
- Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
- Master equation approach to transient quantum transport incorporating with initial correlations
- Properties of 1D two-barrier quantum pump with harmonically oscillating barriers
- Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor
- Non-adiabatic two-parameter charge and spin pumping in a quantum dot
- Interaction-induced charge and spin pumping through a quantum dot at finite bias
- Shaping charge excitations in chiral edge states with a time-dependent gate voltage
- Photon-assisted electron transport through a three-terminal quantum dot system with nonresonant tunneling channels
- Rectification and nonlinear transport in chaotic dots and rings
- Nonlinear adiabatic response of interacting quantum dots
- Green's functions perspective on nonequilibrium thermodynamics of open quantum systems strongly coupled to baths
- Effects of interaction on an adiabatic quantum electron pump
- Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
- Floquet Formalism of Quantum Pumps
- Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances
- Quantum pump effect in one-dimensional systems of Dirac fermions
- Multi-particle correlations of an oscillating scatterer
- Noise of a single-electron emitter
- Full counting statistics for electron transport in periodically driven quantum dots
- Timescale separation solution of Kadanoff-Baym equations for quantum transport in time-dependent fields
- Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
- ac-dc voltage profile and four point impedance of a quantum driven system
- Heat currents in electronic junctions driven by telegraph noise
- Optimal Cooling of Multiple Levitated Particles: Theory of Far-Field Wavefront-Shaping
- FMR and voltage induced transport in normal metal-ferromagnet-superconductor trilayers
- Quantum pumping in deformable quantum dots
- DC four point resistance of a double barrier quantum pump
- From Anderson Localization to Mesoscopic Physics
- Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
- Quantum charge pumping through a superconducting double barrier structure in graphene
- Resonant high harmonic generation in a ballistic graphene transistor with an AC driven gate
- Time-dependent quantum transport and power-law decay of the transient current in a nano-relay and nano-oscillator
- Quantum pump driven fermionic Mach-Zehnder interferometer
- Adiabatic charge pumping through a dot at the junction of N quantum wires
- Landauer Formula for a Superconducting Quantum Point Contact
- Adiabatic quantum pumping through surface states in 3D topological insulators
- High-frequency blockade in a tight-binding one-dimensional lattice with single vibrating atomic state
- Charge pumping in strongly-coupled molecular quantum dots
- Quantum charge pumping through Majorana bound states
- Floquet scattering matrix approach to the phase noise of a single-electron source in the adiabatic regime
- Measuring the arrival time of an electron wave packet using a dynamical potential barrier
- Langevin dynamics of a heavy particle and orthogonality effects
- Electromotive force and internal resistance of an electron pump
- Quantum transport phenomena induced by time-dependent fields
- Oscillating spin-orbit interaction as a source of spin-polarized wave packets in two-terminal nanoscale devices
- Backscattering off a dynamical impurity in one-dimensional Fermi systems: A perturbative computation
- Enhanced thermoelectric effects in a driven one-dimensional system
- Energy transport and heat production in quantum engines
- Master equation approach to transient quantum transport in nanostructures