Integrable open-boundary conditions for the \(q\)-deformed supersymmetric \(U\) model of strongly correlated electrons

DOI10.1016/S0550-3213(98)00067-4zbMath0949.82013arXivcond-mat/9710141OpenAlexW3102995548MaRDI QIDQ1382368

Xiang-Yu Ge, Huan-Qiang Zhou, A. J. Bracken, Yao-Zhong Zhang

Publication date: 25 March 1998

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9710141

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (24)

Graded off-diagonal Bethe ansatz solution of the \(\operatorname{SU}(2|2)\) spin chain model with generic integrable boundaries ⋮ Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution ⋮ Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries ⋮ An open-boundary integrable model of three coupled XY spin chains ⋮ Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry] ⋮ \(U_q[osp(3|2)\) quantum chains with quantum group invariant boundaries] ⋮ Reflection matrices for the \(U_q[sl(r|2m)^{(2)}\) vertex model] ⋮ On the Bethe states of the one-dimensional supersymmetric \( t - J \) model with generic open boundaries ⋮ Small polaron with generic open boundary conditions: exact solution via the off-diagonal Bethe ansatz ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ The Bethe ansatz equations for reflecting magnons ⋮ Truncation identities for the small polaron fusion hierarchy ⋮ Reflection matrices for theU_q[spo(2n|2m) vertex model] ⋮ Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model] ⋮ Fermionic reflection matrices ⋮ Bethe ansatz solution of the small polaron with nondiagonal boundary terms ⋮ Boundary algebraic Bethe Ansatz for a nineteen vertex model withU_q  [osp(2|2)⁽²⁾ symmetry] ⋮ On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model] ⋮ Integrability of the \(D^2_n\) vertex models with open boundary ⋮ Integrable extended Hubbard models with boundary Kondo impurities ⋮ Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional \(t\)-\(J\) model. ⋮ On , , , , , , and reflectionK-matrices ⋮ Exact solution for the Bariev model with boundary fields ⋮ Shor–Movassagh chain leads to unusual integrable model

Cites Work

• Unnamed Item
• Quantum affine algebras and holonomic difference equations
• An open-boundary integrable model of three coupled XY spin chains
• The supersymmetric \(t\)-\(J\) model with quantum group invariance.
• Integrable electron model with correlated hopping and quantum supersymmetry.
• More on the quantum integrability for the one-dimensional Bariev chain.
• INTEGRABLE SYSTEMS ON OPEN CHAINS WITH QUANTUM SUPERSYMMETRY
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• Bethe Ansatz Equation for the Hubbard Model with Boundary Fields
• Boundary conditions for integrable quantum systems

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