Stability Analysis of the Hubbard-Model
Abstract
An effective Hartree-Fock-Bogoliubov-type interaction is calculated for the Hubbard-model in second order in the coupling by means of flow-equations. A stability analysis is performed in order to obtain the transition into various possible phases. We find, that the second order contribution weakens the tendency for the antiferromagnetic transition. Apart from a possible antiferromagnetic transition the d-wave Pomeranchuk instability recently reported by Halboth and Metzner is usually the strongest instability. A newly found instability is of p-wave character and yields a band-splitting. In the BCS-channel one obtains the strongest contribution for -waves. Other types of instabilities of comparable strength are also reported.
Cite
@article{arxiv.cond-mat/0106604,
title = {Stability Analysis of the Hubbard-Model},
author = {I. Grote and E. Koerding and F. Wegner},
journal= {arXiv preprint arXiv:cond-mat/0106604},
year = {2007}
}
Comments
25 pages, Latex2e, 4 figures and 1 table as ps-file, submission to Journal of Low Temperature Physics