Instabilities in Luttinger liquids

Details Instabilities in Luttinger liquids Instabilities in Luttinger liquids

2002-05-06

arxiv.org/abs/cond-mat/0205098v1

J.Phys.:Condens.Matter 15, 1445 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures

Scientific paper

10.1088/0953-8984/15/9/308

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.

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