Exact Ground States in Spin Systems with Orbital Degeneracy

Details Exact Ground States in Spin Systems with Orbital Degeneracy Exact Ground States in Spin Systems with Orbital Degeneracy

1999-02-17

arxiv.org/abs/cond-mat/9902238v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages(JPSJ.sty), 2 figures(EPS), to appear in J. Phys. Soc. Jpn. 68, No.2 (1999) 322

Scientific paper

10.1143/JPSJ.68.322

We present exact ground states in spin models with orbital generacy in one and higher dimensions. A method to obtain the exact ground states of the models when the Hamiltonians are composed of the products of two commutable operators is proposed. For the case of the spin-1/2 model with two-fold degeneracy some exact ground states are given, such as the Valence-Bond (VB), the magnetically ordered, and the orbitally ordered states under particular parameter regimes. We also find the models with the higher spin and degeneracy which have the new types of VB ground states in the spin and the orbital sectors.

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