Tunneling through nanosystems: Combining broadening with many-particle states

Abstract

We suggest a new approach for transport through finite systems based on the Liouville equation. By working in a basis of many-particle states for the finite system, Coulomb interactions are taken fully into account and correlated transitions by up to two different contact states are included. This latter extends standard rate equation models by including level-broadening effects. The main result of the paper is a general expression for the elements of the density matrix of the finite size system, which can be applied whenever the eigenstates and the couplings to the leads are known. The approach works for arbitrary bias and for temperatures above the Kondo temperature. We apply the approach to standard models and good agreement with other methods in their respective regime of validity is found.

9 pages, 5 figures included to text

Cited by in corpus (32)

• Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Transport in molecular states language: Generalized quantum master equation approach
• Many-body theory of electronic transport in single-molecule heterojunctions
• Microscopic Current Dynamics in Nanoscale Junctions
• Shot noise in transport through "double quantum dots"
• Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage
• A self-consistent quantum master equation approach to molecular transport
• Weak coupling approximations in non-Markovian Transport
• Vibrationally Induced Decoherence in Single-Molecule Junctions
• Effect of nonadiabatic electronic-vibrational interactions on the transport properties of single-molecule junctions
• Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings
• Conductance of a quantum point contact based on spin-density-functional theory
• Decoherence due to contacts in ballistic nanostructures
• QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices
• Theory of high bias Coulomb Blockade in ultrashort molecules
• Effect of broadening in the weak coupling limit of vibrationally coupled electron transport through molecular junctions and the analogy to quantum dot circuit QED systems
• A diagrammatic description of the equations of motion, current, and noise within the second-order von Neumann approach
• Rectification by charging -- the physics of contact-induced current asymmetry in molecular conductors
• Feynman-Vernon influence functional approach to quantum transport in interacting nanojunctions: An analytical hierarchical study
• Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field
• Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
• Violation of Onsager's theorem in approximate master equation approaches
• Self-consistent electron counting statistics
• Maximal steady-state entanglement in autonomous quantum thermal machines
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Thermal transport controlled by intra- and inter-dot Coulomb interactions in sequential and cotunneling serially-coupled double quantum dots
• Current noise in quantum dot thermoelectric engines
• Non-Markovian electron dynamics in nanostructures coupled to dissipative contacts
• Controlling thermoelectric, heat, and energy currents through a quantum dot in sequential and cotunneling Coulomb-blockade regimes
• Lindblad theory for incoherently-driven electron transport in molecular nanojunctions