Full counting statistics for noninteracting fermions: Exact finite temperature results and generalized long time approximation
arXiv:0908.1892 · doi:10.1088/0953-8984/21/49/495306
Abstract
Exact numerical results for the full counting statistics (FCS) of a one-dimensional tight-binding model of noninteracting electrons are presented at finite temperatures using an identity recently presented by Abanov and Ivanov. A similar idea is used to derive a new expression for the cumulant generating function for a system consisting of two quasi-one-dimensional leads connected by a quantum dot in the long time limit. This provides a generalization of the Levitov-Lesovik formula for such systems.
17 pages, 6 figures, extended introduction, additional comments
References in corpus (5)
- Quantum Noise as an Entanglement Meter
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Wave-packet Formalism of Full Counting Statistics
- Scattering Approach to Counting Statistics in Quantum Pumps
- Factorization of quantum charge transport for non-interacting fermions
Cited by in corpus (16)
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Thermodynamic uncertainty relation in thermal transport
- Efficiency fluctuations in quantum thermoelectric devices
- Full-counting statistics of charge and spin transport in the transient regime: A nonequilibrium Green's function approach
- Counting statistics of heat transport in harmonic junctions -- transient and steady states
- Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
- Waiting time distributions of noninteracting fermions on a tight-binding chain
- Entanglement entropy in dynamic quantum-coherent conductors
- Full counting statistics in a disordered free fermion system
- Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
- Towards Noise Simulation in Interacting Nonequilibrium Systems Strongly Coupled to Baths
- Transient behavior of full counting statistics in thermal transport
- Theory of non-equilibrium electronic Mach-Zehnder interferometer
- Exchange fluctuation theorem for heat transport between multi-terminal harmonic systems
- Full Counting Statistics of Quantum Point Contact with Time-dependent Transparency
- Fermion- and spin-counting in strongly correlated systems in and out of thermal equilibrium