2001/06/30 by Anjan Kundu
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat #hep-th #nlin.SI
paper · pdf · doi:10.1016/s0550-3213(01)00431-x
published as Nucl.Phys. B618 (2001) 500-522 · Latex, 25 pages, no figure, v2: 5 refs. added, version to be published in Nucl. Phys. B
arxiv created 2001/08/21 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.