Semi-fermionic approach for quantum spin systems
Strongly Correlated Electrons
2007-05-23 v1
Abstract
We present a general derivation of semi-fermionic representation for generators of SU(N) group as a bilinear combination of Fermi operators. The constraints are fulfilled by means of imaginary Lagrange multipliers. The important case of SU(2) group is discussed. We demonstrate how the idea of semi-fermionic representation might be extended to the groups possessing dynamic symmetries. As an example, SO(4) group is considered. We illustrate the application of semi-fermionic representations for various problems of strongly correlated physics.
Cite
@article{arxiv.cond-mat/0212620,
title = {Semi-fermionic approach for quantum spin systems},
author = {M. N. Kiselev},
journal= {arXiv preprint arXiv:cond-mat/0212620},
year = {2007}
}
Comments
Extended version of the talk given at TH-2002 conference, Paris, July 22-27 (2002), 16 pages, RevTeX, 7 EPS figures included