Instabilities in Luttinger liquids
Strongly Correlated Electrons
2009-11-07 v1
Abstract
We discuss the appearance of magnetic and charge instabilities, named respectively metamagnetism (MM) and phase separation (PS), in systems which can be described by a perturbed Luttinger liquid. We argue that such instabilities can be associated with the vanishing of the effective Fermi velocity v, which in some cases coincides with a divergence of the effective Luttinger parameter K. We analyze in particular an XXZ chain with next-nearest-neighbor interactions in different limits where MM shows up and an extended Hubbard model where in turn, PS occurs. Qualitative agreement with previous studies is found.
Cite
@article{arxiv.cond-mat/0205098,
title = {Instabilities in Luttinger liquids},
author = {D. C. Cabra and J. E. Drut},
journal= {arXiv preprint arXiv:cond-mat/0205098},
year = {2009}
}
Comments
7 pages, 3 figures