| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
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 | Affiliation: | Zhejiang U.) You-Quan Li (Zhejiang U./Augsburg U.), and Shi-Jian Gu (Zhejiang U. | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |