A supersymmetric Uq[osp(2|2)]-extended Hubbard model with boundary fields |
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| Institution: | 1. Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research (Ministry of Education, China), College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha 410081, PR China;2. Huizhou Jinsheng New Electronic Technology Co., Ltd., Huizhou 516000, PR China;1. São Paulo State University (UNESP), Tuberculosis Research Laboratory, School of Pharmaceutical Sciences, Araraquara, São Paulo, Brazil;2. Vicerrectorado de Investigación, Facultad de Ciencias Farmacéuticas bioquímicas y biotecnológicas, Universidad Católica de Santa María, Arequipa, Peru;3. Department of Physics - Institute of Biosciences, Humanities and Exact Sciences (IBILCE), São Paulo State University (UNESP), 15054-000 São José do Rio Preto, São Paulo, Brazil;4. Department of Biotechnology, Laboratory of Polymers and Biomaterials, University of Araraquara (UNIARA), Araraquara, São Paulo, Brazil;5. São Paulo State University (UNESP), Department of Drug and Medicines, School of Pharmaceutical Sciences, Araraquara, São Paulo, Brazil;6. School of Sciences and Engineering, São Paulo State University (UNESP), Tupã, São Paulo, Brazil;7. Department of Dental Materials and Prosthodontics, School of Dentistry, Sao Paulo State University (UNESP), Araraquara, São Paulo, Brazil;8. Department of Drug Design and Pharmacology, Faculty of Health and Medical Sciences, University of Copenhagen, Copenhagen, Denmark;1. Department of Cardiology, Tel-Aviv Sourasky Medical Center, Tel Aviv, Israel;2. Sackler School of Medicine, Tel-Aviv University, Tel Aviv, Israel;3. Department of Internal Medicine H, Tel-Aviv Sourasky Medical Center, Tel Aviv, Israel |
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| Abstract: | A strongly correlated electron system associated with the quantum superalgebra Uqosp(2|2)] is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of boundary-reflection K-matrices leading to four kinds of possible boundary interaction terms are found. Performing the algebraic Bethe ansatz, we diagonalize the two-level transfer matrices which characterize the charge and the spin degrees of freedom, respectively. The Bethe-ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum are presented explicitly. We also construct two impurities coupled to the boundaries. In the thermodynamic limit, the ground state properties and impurity effects are discussed. |
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