Algebraic Bethe ansatz for the one-dimensional Hubbard model with chemical potential |
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| Institution: | 1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China;1. Laboratoire de Physico-Chimie des Matériaux Appliqués (LPCMA), Faculté des Sciences Ben M’Sik, Université Hassan II de Casablanca, Morocco;2. CICenergigune, Albert Einstein 48, 01510 Miñano, Alava, Spain;3. Fisika Aplikatua II Saila, Zientzia eta Teknologia Fakultatea, Euskal Herriko Unibertsitatea, P.O. Box 644, Bilbao 48080, Spain;4. Institut des Molécules et des Matériaux du Mans – UMR CNRS 6283, France;1. Department of Mathematics, City University London, Northampton Square EC1V 0HB, UK;2. Department of Mathematics, King''s College London, Strand WC2R 2LS, UK;1. Institut Elie Cartan de Lorraine, Université de Lorraine, 57045 Metz Cedex 1, France;2. Laboratoire de mathématiques Jean Leray, Université de Nantes, 2 rue de la Houssinière BP 92208, 44322 Nantes Cedex 03, France;1. Radboud University, Institute for Molecules and Materials, 6525 AJ Nijmegen, The Netherlands;2. Universitat Hamburg, Institut für Theoretische Physik, Jungiusstraße 9, D-20355 Hamburg, Germany |
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| Abstract: | The integrability and the algebraic Bethe ansatz approach for the one-dimensional (1D) Hubbard model with chemical potential are studied in the framework of the quantum inverse scattering method. We also investigate the hidden local gauge invariance for the model. It is found that the R-matrix only permits Abelian gauge transformations, and it is shown that the energy spectrum is gauge invariant whereas the eigenvectors and the Bethe ansatz equations are explicitly gauge dependent. |
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