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29 March 2024
 
  » arxiv » cond-mat/0102211

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Symmetries in the Hubbard model with n-fold orbital degeneracy
Zu-Jian Ying You-Quan Li ; Shi-Jian Gu ;
Date 12 Feb 2001
Journal J.Math.Phys. 42 (2001) 4865-4872
Subject Strongly Correlated Electrons | cond-mat.str-el hep-th
AffiliationZhejiang U.) You-Quan Li (Zhejiang U./Augsburg U.), and Shi-Jian Gu (Zhejiang U.
AbstractThe present paper studies the symmeries of the Hubbard model of electrons with generally $n$-fold orbital degeneracy. It’s shown SU_d(2n) and SU_c(2n) symmetries hold respectively for the model with completely repulsive or attractive on-site interaction and that with partly attractive interactions. An extended Lieb-Mattis transformation is given to map these two symmetries into each other. The sub-symmetry SU_d^{(e)}(n)otimes SU_d^{(o)}(n) is found to be shared by the two models with arbitrary chemical potential mu. By assuming at most two electrons on each site it’s found that $SU_d(2n)$ and $SU_c(2n)$ both exist in each kind of the two models and consequently lead to a larger symmetry SU_d(2n) imes SU_c(2n). Another underlying symmetry SU_c^{(e)}(2)_{{cal P}} imes ... imes SU_c^{(e)}(2)_{{cal P}} otimes igl(SU_c^{(o)}(2)_{{cal P}} imes ... imes SU_c^{(o)}(2)_{{cal P}}igr) is also revealed for the unified $U$ model under the excluding. The symmetry is valid for the partially attractive model with chemical potential $mu =-U.$
Source arXiv, cond-mat/0102211
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