Universal dephasing in a chiral 1D interacting fermion system
Mesoscale and Nanoscale Physics
2009-03-17 v2
Abstract
We consider dephasing by interactions in a one-dimensional chiral fermion system (e.g. a Quantum Hall edge state). For finite-range interactions, we calculate the spatial decay of the Green's function at fixed energy, which sets the contrast in a Mach-Zehnder interferometer. Using a physically transparent semiclassical ansatz, we find a power-law decay of the coherence at high energies and zero temperature (T=0), with a universal asymptotic exponent of 1, independent of the interaction strength. We obtain the dephasing rate at T>0 and the fluctuation spectrum acting on an electron.
Cite
@article{arxiv.0806.1211,
title = {Universal dephasing in a chiral 1D interacting fermion system},
author = {Clemens Neuenhahn and Florian Marquardt},
journal= {arXiv preprint arXiv:0806.1211},
year = {2009}
}
Comments
5 pages, 3 figures; minor changes, version as published;