1999/02/15 by Kazuhito Itoh · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.68.322
4 pages(JPSJ.sty), 2 figures(EPS), to appear in J. Phys. Soc. Jpn. 68, No.2 (1999) 322
openalex publication_date 1999/02/15 · arxiv created 1999/02/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.