Transfer-matrix summation of path integrals for transport through nanostructures
arXiv:2208.07619 · doi:10.1103/PhysRevB.106.165427
Abstract
On the basis of the method of iterative summation of path integrals (ISPI), we develop a numerically exact transfer-matrix method to describe the nonequilibrium properties of interacting quantum-dot systems. For this, we map the ISPI scheme to a transfer-matrix approach, which is more accessible to physical interpretation, allows for a more transparent formulation of the theory, and substantially improves the efficiency. In particular, the stationary limit is directly implemented, without the need of extrapolation. The resulting new method, referred to as "transfer-matrix summation of path integrals" (TraSPI), is then applied to resonant electronic transport through a single-level quantum dot.
arXiv comment14 pages, 10 figures, accepted by Phys. Rev. B
References in corpus (30)
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
- Single-electron current sources: towards a refined definition of ampere
- Electric Field Control of Spin Transport
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Cooper Pair Splitting by means of Graphene Quantum Dots
- Comparative study of theoretical methods for nonequilibrium quantum transport
- A Graphene Quantum Dot with a Single Electron Transistor as Integrated Charge Sensor
- Non-local spectroscopy of Andreev bound states
- Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
- Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
- Iterative summation of path integrals for nonequilibrium molecular quantum transport
- Fermi-liquid theory for the single-impurity Anderson model
- Transient charge and energy flow in the wide-band limit
- Observation of "Partial Coherence" in an Aharonov-Bohm Interferometer with a Quantum Dot
- A Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
- Strong suppression of shot noise in a feedback-controlled single-electron transistor
- Relaxation dynamics in a Hubbard dimer coupled to fermionic baths: phenomenological description and its microscopic foundation
- Equilibrium free energy measurement of a confined electron driven out of equilibrium
- Nonequilibrium Anderson model made simple with density functional theory
- Iterative path integral summation for nonequilibrium quantum transport
- The square lattice Ising model on the rectangle I: Finite systems
- Renormalization group flow of the Luttinger-Ward functional: conserving approximations and application to the Anderson impurity model
- Revealing attractive electron-electron interaction in a quantum dot by full counting statistics
- Controlled emission time statistics of a dynamic single-electron transistor
- Non-universal transmission phase behaviour of a large quantum dot
- Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves
- Multilevel coherences in quantum dots
- The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants
- Interaction-induced current asymmetries in resonant transport through interacting quantum-dot spin valves revealed by iterative summation of path integrals