Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems
Condensed Matter
2019-08-17 v1
Abstract
We consider a system of spin-dependent fermions on a one-dimensional lattice which is coupled to phonons. The phonons create either a Peierls instability by breaking the translational invariance or create long range correlations. On the other hand, there is a spin-dependent Hubbard-like interaction which competes with the effective fermion-fermion interaction induced by the phonons. We investigate the competition of both interactions using a renormalization group calculation for weak interaction. The renormalization group transformation creates a third interaction. It turns out that non-interacting fermions represent a semi-stable fixed point of the fermion system.
Keywords
Cite
@article{arxiv.cond-mat/9405070,
title = {Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems},
author = {D. Braak and F. Sievers and K. Ziegler},
journal= {arXiv preprint arXiv:cond-mat/9405070},
year = {2019}
}
Comments
6 pages,plainTEX