Integrability and exact solution of correlated hopping multi-chain electron systems |
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| Institution: | 1. CRISTAL – Research Centre in Computer Science, Signals and Automatic Systems of Lille, Ecole Centrale de Lille, Lille, France;2. ILIS – Lille Institute of Healthcare Engineering, Université Lille 2, Lille, France;3. Dipartimento di Ingegneria Elettrica e dell’Informazione, Politecnico di Bari, Via Re David 200, 70125 Bari, Italy;1. University Lille, CHU de Lille, ULR 4490, Département Universitaire de Chirurgie Orthopédique et Traumatologique, 59000 Lille, France;2. Centre Hospitalier Universitaire (CHU) de Lille, Service de Chirurgie Orthopédique, Hôpital Roger Salengro, 59000 Lille, France;3. Département de Chirurgie Orthopédique, Centre Hospitalier Universitaire (CHU) de Québec, Université Laval, Québec, QC, Canada;4. University Lille, CHU de Lille, ULR2694 – METRICS : évaluation des technologies de santé et des pratiques médicales, 59000 Lille, France;1. Laboratory of Inorganic Materials, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia;2. Department of Geology, University of Tartu, Ravila 14A, 50411 Tartu, Estonia;3. Laboratory of Building Materials, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia;4. National Institute of Chemical Physics and Biophysics, Akadeemia tee 23, 12618 Tallinn, Estonia;5. Eesti Energia AS, Lelle 22, 11318 Tallinn, Estonia |
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| Abstract: | Exact quantum integrability is established for a class of multi-chain electron models with correlated hopping and spin models with interchain interactions, by constructing the related Lax operators and R-matrices through twisting and gauge transformations. Exact solution of the eigenvalue problem for commuting conserved quantities of such systems is achieved through algebraic Bethe ansatz, on the examples of Hubbard and t–J models with correlated hopping. Our systematic construction identifies the integrable subclass of such known solvable models and also generates new systems including the generalized t–J models. At the same time it makes proper correction to a well known model and resolves recent controversies regarding the equivalence and solvability of some known models. |
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