Semi-fermionic approach for quantum spin systems

Details Semi-fermionic approach for quantum spin systems Semi-fermionic approach for quantum spin systems

2002-12-28

arxiv.org/abs/cond-mat/0212620v1

Physics

Condensed Matter

Strongly Correlated Electrons

Extended version of the talk given at TH-2002 conference, Paris, July 22-27 (2002), 16 pages, RevTeX, 7 EPS figures included

Scientific paper

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.

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