A family of affine quantum group invariant integrable extensions of the Hubbard Hamiltonian

DOI10.1016/S0550-3213(97)00067-9zbMath0925.82066arXivcond-mat/9609183OpenAlexW1994066407MaRDI QIDQ677652

Juan-Miguel Gracia

Publication date: 13 April 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9609183

zbMATH Keywords

tensor productfermionic representationsfully reducible representations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Statistical mechanics of superconductors (82D55) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

SL_q(2) GLOBAL SYMMETRY FOR FOUR-STATE QUANTUM CHAINS ⋮ Integrable chain model with additional staggered model parameter ⋮ Explicit R-matrices for inhomogeneous 3D chiral Potts models: integrability and the action formulation for IM ⋮ Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the t–J model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum affine algebras
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Quantum-group-invariant integrable \(n\)-state vertex models with periodic boundary conditions
• FINITE CHAINS WITH QUANTUM AFFINE SYMMETRIES
• New exactly solvable model of strongly correlated electrons motivated by high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductivity
• On a quantum group invariant spin chain with non-local boundary conditions

This page was built for publication: A family of affine quantum group invariant integrable extensions of the Hubbard Hamiltonian