Quantum rate equations for electron transport through an interacting system in the sequential tunneling regime

Abstract

We present a set of modified quantum rate equations, with the help of the nonequilibrium Green's function and slave-particle techniques along with the correct quantization, for description of the quantum transport through an interacting mesoscopic region connected with two leads, in the sequential tunneling regime. The assumption that only leading order of $|V{|}^2$ ($V$ is the tunneling coupling between the interacting central region and the leads) has been taken into account in deriving these equations implies that the quantum rate equations are only valid in the case of weak coupling between the central region and the leads. For demonstrations, we consider two special cases in the central region, a single interacting quantum dot (SQD) with weak spin-flip scattering and a weakly coupled double quantum dots (CQD), as examples. In the limit of zero temperature and large bias voltage, the resulting equations are identical to the previous results derived from the many-body Schrödinger equation. The numerical simulations reveal: 1) the dependence of the spin-flip scattering on the temperature and bias voltage in the SQD; and 2) the possible negative differential conductance and negative tunnel magnetoresistance in the CQD, depending on the hopping between the two quantum dots.

16 pages, 10 figures,some minor changes, to be published in Phys. Rev. B

References in corpus (8)

• Electron transport through double quantum dots
• Revival of the Kondo effect
• Current collapse in tunneling transport through benzene
• Single Spin Dynamics and Decoherence in a Quantum Dot via Charge Transport
• Interference effects in resonant magneto-transport
• Quantum Electronic Transport through a Precessing Spin
• Spectrum of qubit oscillations from Bloch equations
• Nonideal quantum detectors in Bayesian formalism

Cited by in corpus (30)

• Rate equations for Coulomb blockade with ferromagnetic leads
• Magnetic-Field-Modulated Resonant Tunneling in Ferromagnetic-Insulator-Nonmagnetic junctions
• Coherent Transport through an interacting double quantum dot: Beyond sequential tunneling
• Absorption refrigerators based on Coulomb-coupled single-electron systems
• Pumped spin-current and shot noise spectra in a single quantum dot
• Time-dependent resonant tunneling for a parallel-coupled double quantum dots
• Super-Poissonian shot noise in the resonant tunneling due to coupling with a localized level
• Coulomb Promotion of Spin-Dependent Tunnelling
• Theory of spin blockade, charge ratchet effect, and thermoelectrical behavior in serially coupled quantum-dot system
• Spin current and shot noise from a quantum dot coupled to a quantized cavity field
• First-order coherent resonant tunneling through an interacting coupled-quantum-dot interferometer: generic quantum rate equations and current noise
• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Magnetic field switching in parallel quantum dots
• Beating in electronic transport through quantum dot based devices
• Shot noise in resonant tunneling through an interacting quantum dot with intradot spin-flip scattering
• Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection
• Finite-frequency current (shot) noise in coherent resonant tunneling through a coupled-quantum-dot interferometer
• Quantum noise in ac-driven resonant-tunneling double barrier structures: Photon-assisted tunneling vs. electron anti-bunching
• Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
• Positive current noise cross-correlations in capacitively coupled double quantum dots with ferromagnetic leads
• Physics at the FQMT'04 conference
• Quantum noise theory for quantum transport through nanostructures
• A realistic non-local heat engine based on Coulomb coupled systems
• Enhanced spin injection efficiency in a four-terminal double quantum dot system
• Magnetic-flux-controlled giant Fano factor for the coherent tunneling through a parallel double-quantum-dot
• Study of couplings effect on the performance of a spin-current diode: Nonequilibrium Green's function based model
• A non-local cryogenic thermometer based on Coulomb-coupled systems
• The influence of spin-flip scattering on the preparation and detection of a single spin state in a quantum dot attached to a spin battery
• Influence of spin-flip on the performance of the spin-diode
• Spin-current rectification through a quantum dot using temperature bias