Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons |
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| Institution: | 1. Department of Physics, Hunan Institute of Technology, Hengyang 421002, China;2. College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, China;3. School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China;4. Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha 410004, China;1. Department of Mathematics and Statistics, La Trobe University, Bundoora, VIC 3086, Australia;2. School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa;3. DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences, South Africa |
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| Abstract: | A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an application, the integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons are investigated. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. The boundary system is solved by means of the coordinate space Bethe ansatz technique and the Bethe ansatz equations are derived. As a sideline, it is shown that all R-matrices associated with a quantum affine superalgebra enjoy the crossing-unitarity property. |
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