A time-dependent approach to electron pumping in open quantum systems
arXiv:cond-mat/0701279 · doi:10.1103/PhysRevB.77.075339
Abstract
We propose a time-dependent approach to investigate the motion of electrons in quantum pump device configurations. The occupied one-particle states are propagated in real time and used to calculate the local electron density and current. An advantage of the present computational scheme is that the same computational effort is required to simulate monochromatic, polychromatic and nonperiodic drivings. Furthermore, initial state dependence and history effects are naturally accounted for. This approach can also be embedded in the framework of time-dependent density functional theory to include electron-electron interactions. In the special case of periodic drivings we combine the Floquet theory with nonequilibrium Green's functions and obtain a general expression for the pumped current in terms of inelastic transmission probabilities. This latter result is used for benchmarking our propagation scheme in the long-time limit. Finally, we discuss the limitations of Floquet-based schemes and suggest our approach as a possible way to go beyond them.
14 pages, 8 figures
References in corpus (32)
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Scattering approach to parametric pumping
- Driven quantum transport on the nanoscale
- An Adiabatic Quantum Electron Pump
- Time-dependent quantum transport: A practical scheme using density functional theory
- Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
- Resonant Photon-Assisted Tunneling Through a Double Quantum Dot: An Electron Pump From Spatial Rabi Oscillations
- Mesoscopic mechanism of adiabatic charge transport
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Nonequilibrium current driven by a step voltage pulse: an exact solution
- Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling
- Time-dependent quantum transport: an exact formulation based on TDDFT
- A Green-function approach to transport phenomena in quantum pumps
- Charge Pumping in Carbon Nanotubes
- Current Noise in ac-Driven Nanoscale Conductors
- Optimal Control of Quantum Rings by Terahertz Laser Pulses
- Approach to steady state transport in nanoscale conductors
- Non-equilibrium Green's function formalism and the problem of bound states
- Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
- Parametric pumping at finite frequency
- Time Dependent Floquet Theory and Absence of an Adiabatic Limit
- Bound states in ab initio approaches to quantum transport: A time-dependent formulation
- Microscopic Current Dynamics in Nanoscale Junctions
- Classical Nuclear Motion in Quantum Transport
- Quantized Adiabatic Charge Transport in a Carbon Nanotube
- Ab initio simulations of excited carrier dynamics in carbon nanotubes
- Transient regime in non-linear transport through many-level quantum dots
- Scattering Theory of Dynamic Electrical Transport
- Photovoltaic and Rectification Currents in Quantum Dots
- Non-adiabatic transport in a quantum dot turnstile
- Equation of motion approach to non-adiabatic quantum charge pumping
- Hydrodynamic approach to transport and quantum turbulence in nanoscale conductors
Cited by in corpus (56)
- Kadanoff-Baym approach to quantum transport through interacting nanoscale systems: From the transient to the steady-state regime
- Numerical simulations of time resolved quantum electronics
- Modeling electron dynamics coupled to continuum states in finite volumes
- AC transport in graphene-based Fabry-Perot devices
- Single-parameter pumping in graphene
- Green's function methods for single molecule junctions
- General description for nonequilibrium steady states in periodically driven dissipative quantum systems
- Non-perturbative laser effects on the electrical properties of graphene nanoribbons
- Photonics and Spectroscopy in Nanojunctions: A Theoretical Insight
- Coulomb interaction and transient charging of excited states in open nanosystems
- Spin-flip scattering in time-dependent transport through a quantum dot: Enhanced spin-current and inverse tunneling magnetoresistance
- Relaxation and dephasing in open quantum systems time-dependent density functional theory: Properties of exact functionals from an exactly-solvable model system
- First-principles investigation of dynamical properties of molecular devices under a steplike pulse
- Image charge dynamics in time-dependent quantum transport
- Self-consistent ac quantum transport using nonequilibrium Green functions
- An efficient method for quantum transport simulations in the time domain
- Boosting thermoelectric efficiency using time-dependent control
- Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
- CHEERS: A tool for Correlated Hole-Electron Evolution from Real-time Simulations
- Multielectron effects in high harmonic generation in N2 and benzene: simulation using a non-adiabatic quantum molecular dynamics approach for laser-molecule interactions
- A many-body approach to transport in quantum systems: From the transient regime to the stationary state
- Equilibrium and time-dependent Josephson current in one-dimensional superconducting junctions
- Transient dynamics of molecular devices under step-like pulse bias
- The Role of Bound States in Time-Dependent Quantum Transport
- A linear-scaling source-sink algorithm for simulating time-resolved quantum transport and superconductivity
- Towards a dynamical approach to the calculation of the figure of merit of thermoelectric nanoscale devices
- Kadanoff-Baym approach to time-dependent quantum transport in AC and DC fields
- Spin-polarized tunable photocurrents
- Optical properties of periodically-driven open nonequilibrium quantum systems
- From carriers and virtual excitons to exciton populations: Insights into time-resolved ARPES spectra from an exactly solvable model
- Probing (topological) Floquet states through DC transport
- Absence of Criticality in the Phase Transitions of Open Floquet Systems
- Non-adiabatic effect in quantum pumping for a spin-boson system
- Simulating time-dependent thermoelectric transport in quantum systems
- Functional renormalization group in Floquet space
- Non-adiabatic Rectification and Current Reversal in Electron Pumps
- Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
- Dynamic renormalization group theory for open Floquet systems
- Order O(1) algorithm for first-principles transient current through open quantum systems
- Benchmarking Nonequilibrium Green's Functions against Configuration Interaction for time-dependent Auger decay processes
- AC transport in carbon-based devices: challenges and perspectives
- Optimization of electron pumping by harmonic mixing
- Electroluminescence rectification and high harmonic generation in molecular junctions
- Transport in a periodically driven tilted lattice via the extended reservoir approach: Stability criterion for recovering the continuum limit
- Coherent magnetotransport and time-dependent transport through split-gated quantum constrictions
- Magnetically induced pumping and memory storage in quantum rings
- Higher harmonics and ac transport from time dependent density functional theory
- Floquet Renormalization Group Approach to the Periodically Driven Kondo Model
- Turnstile pumping through an open quantum wire
- Quantum transport phenomena induced by time-dependent fields
- The open driven two-level system at conical intersections of quasienergies
- Symmetry-induced even/odd parity in charge and heat pumping
- Enhanced thermoelectric effects in a driven one-dimensional system
- Non-equilibrium current and electron pumping in nanostructures
- Lanczos-adapted time evolution for open boundary quantum transport
- AC Josephson Signatures of the Superconducting Higgs Mode