1996/09/30 by A. Avakyan, Tigran Hakobyan, T. Hakobyan +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat
paper · pdf · doi:10.1016/s0550-3213(97)00067-9
published as Nucl. Phys. B, 490 (1997) 633-652 · 22 pages, LaTeX file, no figures, minor corrections have been made; Nucl. Phys. B [FS] in press
arxiv created 1997/02/09 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We construct the family of spin chain Hamiltonians, which have affine quantum group symmetry. Their eigenvalues coincide with the eigenvalues of the usual spin chain Hamiltonians, but have the degeneracy of levels, corresponding to affine quantum group. The space of states of these spin chains is formed by the tensor product of fully reducible representations of quantum group. The fermionic representations of constructed spin chain Hamiltonians show that we have new extensions of Hubbard Hamiltonians. All of them are integrable and have affine quantum group symmetry. The exact ground state of a such type model is presented, exhibiting superconducting behavior via eta-pairing mechanism.