Shot noise control in ac-driven nanoscale conductors
arXiv:cond-mat/0402182 · doi:10.1103/PhysRevB.70.155326
Abstract
We derive within a time-dependent scattering formalism expressions for both the current through ac-driven nanoscale conductors and its fluctuations. The results for the time-dependent current, its time average, and, above all, the driven shot noise properties assume an explicit and serviceable form by relating the propagator to a non-Hermitian Floquet theory. The driven noise cannot be expressed in terms of transmission probabilities. The results are valid for a driving of arbitrary strength and frequency. The connection with commonly known approximation schemes such as the Tien-Gordon approach or a high-frequency approximation is elucidated together with a discussion of the corresponding validity regimes. Within this formalism, we study the coherent suppression of current and noise caused by properly chosen electromagnetic fields.
18 pages, 5 figures
References in corpus (32)
- Shot Noise in Mesoscopic Conductors
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Electron transport through double quantum dots
- Electron transmission through molecules and molecular interfaces
- Scattering approach to parametric pumping
- Driving current through single organic molecules
- An Adiabatic Quantum Electron Pump
- Photon-assisted transport in semiconductor nanostructures
- Time-Dependent Transport through a Mesoscopic Structure
- Resonant Photon-Assisted Tunneling Through a Double Quantum Dot: An Electron Pump From Spatial Rabi Oscillations
- Non-dispersive wave packets in periodically driven quantum systems
- Noise in an ac biased junction. Non-stationary Aharonov-Bohm effect
- Molecular Wires Acting as Coherent Quantum Ratchets
- Electrostatic potential profiles of molecular conductors
- Current Noise in ac-Driven Nanoscale Conductors
- Parametric pumping at finite frequency
- Coherent and incoherent pumping of electrons in double quantum dots
- Time Dependent Floquet Theory and Absence of an Adiabatic Limit
- Coherent transport in a two-electron quantum dot molecule
- Laser controlled molecular switches and transistors
- Rectification of laser-induced electronic transport through molecules
- Coherent and sequential photoassisted tunneling through a semiconductor double barrier structure
- On the electrostatic potential profile in biased molecular wires
- Photon-Assisted Transport Through Ultrasmall Quantum Dots: Influence of Intradot Transitions
- Dynamical control of correlated states in a square quantum dot
- The electrostatic potential profile along a biased molecular wire: A model quantum mechanical calculation
- Coherent resonant tunneling in ac fields
- Charge transport through a molecule driven by a high-frequency field
- Shot Noise in Nanoscale Conductors From First Principles
- Truncation method for Green's functions in time-dependent fields
- Acoustoelectric current and pumping in a ballistic quantum point contact
- Probing Pauli Blocking Factors in Quantum Pumps with Broken Time-Reversal Symmetry
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- Molecular Transport Junctions: Vibrational Effects
- Driven quantum transport on the nanoscale
- Fundamental Aspects of Quantum Brownian Motion
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling
- The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
- A Green-function approach to transport phenomena in quantum pumps
- Non-equilibrium Green's function formalism and the problem of bound states
- Current noise in a vibrating quantum dot array
- Inelastic tunneling effects on noise properties of molecular junctions
- Coherent laser control of the current through molecular junctions
- Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
- Entanglement entropy in dynamic quantum-coherent conductors
- Photon-assisted electron transport through a three-terminal quantum dot system with nonresonant tunneling channels
- Electronic Heat Transport Across a Molecular Wire: Power Spectrum of Heat Fluctuations
- Shot noise in non-adiabatically driven nanoscale conductors
- Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
- Quantum noise in ac-driven resonant-tunneling double barrier structures: Photon-assisted tunneling vs. electron anti-bunching
- Defining the effective temperature of a quantum driven system from current-current correlation functions
- Particle current statistics in driven mesoscale conductors
- Heat current control in trapped BEC
- Non-linear dynamics of a driven nanomechanical single electron transistor
- Joule expansion of a pure many-body state
- Lissajous rocking ratchet
- Power spectrum of electronic heat current fluctuations
- Elimination of negative differential conductance in an asymmetric molecular transistor by an ac-voltage
- Localization length versus level repulsion in 1-D driven disordered quantum wires
- Generalized Landauer formula for time-dependent potentials and noise-induced zero-bias dc current
- Discontinuous conductance of bichromatically ac-gated quantum wires
- Transport suppression in heterostructures driven by an ac gate voltage
- Electron tunneling between two electrodes mediated by a molecular wire containing a redox center
- Dissipative dynamics of a quantum two-state system in presence of nonequilibrium quantum noise
- Exploration of the memory effect on the photon-assisted tunneling via a single quantum dot: A generalized Floquet theoretical approach