Generalized hole-particle transformations and spin reflection positivity in multi-orbital systems

Details Generalized hole-particle transformations and spin reflection positivity in multi-orbital systems Generalized hole-particle transformations and spin reflection positivity in multi-orbital systems

2002-09-03

arxiv.org/abs/cond-mat/0209062v1

Physical Review B 65, 205108 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 2 figures

Scientific paper

10.1103/PhysRevB.65.205108

We propose a scheme combining spin reflection positivity and generalized hole-particle and orbital transformations to characterize the symmetry properties of the ground state for some correlated electron models on bipartite lattices. In particular, we rigorously determine at half-filling and for different regions of the parameter space the spin, orbital and $\eta$ pairing pseudospin of the ground state of generalized two-orbital Hubbard models which include the Hund's rule coupling.

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