Heavy Particle in a d-dimensional Fermionic Bath: A Strong Coupling Approach
Condensed Matter
2010-05-24 v1
Abstract
We investigate the low temperature behavior of a heavy particle (mass ) in a fermionic bath. An effective action is considered which exactly implements the orthogonality catastrophe. It is equivalent to a model of local bosons coupling via a long-range interaction to the particle. The saddlepoint solution for the heavy particle propagator yields a finite quasiparticle weight in two and higher dimensions. In one dimension the propagator decays algebraically for long times. The saddle point approximation is valid for large .
Cite
@article{arxiv.cond-mat/9502034,
title = {Heavy Particle in a d-dimensional Fermionic Bath: A Strong Coupling Approach},
author = {Achim Rosch and Thilo Kopp},
journal= {arXiv preprint arXiv:cond-mat/9502034},
year = {2010}
}