Dynamical Phases in the Full Counting Statistics of the Resonant-Level Model
Statistical Mechanics
2012-12-21 v1 Strongly Correlated Electrons
Abstract
We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions exists for the statistics of transferred charge; by tuning an appropriate `counting field', crossovers to different dynamical phases are possible. Our description reveals a mapping between the FCS of a given device and current measurements over a range of devices with different dot-lead coupling strengths. Further insight into features in the FCS is found by studying the occupation of the dot conditioned on the transported charge between the leads.
Keywords
Cite
@article{arxiv.1212.5200,
title = {Dynamical Phases in the Full Counting Statistics of the Resonant-Level Model},
author = {Sam Genway and James M. Hickey and Juan P. Garrahan and Andrew D. Armour},
journal= {arXiv preprint arXiv:1212.5200},
year = {2012}
}