Work

Fluctuation theorem for counting statistics in electron transport through quantum junctions

Year: 2007

Type: article

Abstract: We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics (FCS) of electrons crossing the lead-system interface. The FCS is calculated using a many-body quantum master equation combined with a Liouville space generating function formalism. For a model of two coupled quantum dots, we show that the FT becomes valid for long binning times, and provide an estimate for the finite-time deviations. The Mandel (or Fano) parameter associated with the incoming or outgoing electron transfers shows sub-Poissonian (antibunching) statistics.

Source: Physical Review B

DOI: 10.1103/physrevb.75.155316

Authors: Massimiliano Esposito, Upendra Harbola, Shaul Mukamel

Institution: University of California, Irvine

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Fonds De La Recherche Scientifique - FNRS, Division of Chemistry

Award: Molecular Relaxation and Radiative Processes