Iterative real-time path integral approach to nonequilibrium quantum transport

2008/02/29 by S. Weiss, J. Eckel, Michael Thorwart +3 · 3 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.77.195316

published as Phys. Rev. B 77, 195316 (2008) · 18 pages, 13 figures, minor modifications, published version

openalex publication_date 2008/05/15 · arxiv created 2008/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral for the generating function of the nonequilibrium current. Self-energies due to the leads, being nonlocal in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects, and numerical results are extrapolated both to vanishing (Trotter) time discretization and to infinite memory time. This extrapolation scheme converges except at very low temperatures, and the results are then numerically exact. The method is applied to nonequilibrium transport through an Anderson dot.

Citations

• Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
• Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
• Driving Current through Single Organic Molecules
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Quantum field-theoretical methods in transport theory of metals
• Exact Ground State Density-Functional Theory for Impurity Models Coupled to External Reservoirs and Transport Calculations
• Josephson Current through a Nanoscale Magnetic Quantum Dot
• Landauer formula for the current through an interacting electron region
• Strong enhancement of transport by interaction on contact links
• Superconducting nonequilibrium transport through a weakly interacting quantum dot
• New Method for Studying Steady States in Quantum Impurity Problems: The Interacting Resonant Level Model

Cited by

• Memory effects in nonequilibrium quantum impurity models
• Application of a semiclassical model for the second-quantized many-electron Hamiltonian to nonequilibrium quantum transport: The resonant level model
• Dynamic Coulomb blockade in single-lead quantum dots