Exact diagonalization of the quantum supersymmetric SU\(_{q}(n|m)\) model

DOI10.1016/0550-3213(95)00673-7zbMath1004.82503arXivcond-mat/9603022OpenAlexW3100820291MaRDI QIDQ1907361

Heng Fan, Rui-Hong Yue, Bo-Yu Hou

Publication date: 20 February 1996

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9603022

zbMATH Keywords

eigenvalue problemopen boundary conditionsalgebraic nested Bethe ansatz

Mathematics Subject Classification ID

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

Related Items (18)

Graded off-diagonal Bethe ansatz solution of the \(\operatorname{SU}(2|2)\) spin chain model with generic integrable boundaries ⋮ Representation of the boundary elliptic quantum group \(BE_{\tau,\eta}(\text{sl}_2)\) and the Bethe ansatz ⋮ The algebraic Bethe ansatz for the \(\text{Osp}(2|2)\) model with open boundary conditions ⋮ Nested Bethe ansatz for the \(B_N\) vertex model with open boundary conditions ⋮ Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions ⋮ The algebraic Bethe ansatz for the Izergin-Korepin model with open boundary conditions ⋮ Properties of eigenstates of the six-vertex model with twisted and open boundary conditions ⋮ Heisenberg XYZ Hamiltonian with integrable impurities ⋮ Boundary state of a ${{U}_{q}}\left(\widehat{gl}(N|N)\right)$ analogue of the half-infinitet−Jmodel ⋮ Nested Bethe ansatz for Perk-Schultz model with open boundary conditions ⋮ Staggered anisotropy parameter modification of the anisotropic t-J model ⋮ Coordinate Bethe ansatz for the one-dimensional SU(n) Hubbard model with open boundary conditions ⋮ Drinfeld constructions of the quantum affine superalgebra Uq(gl(m/n̂)) ⋮ Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry ⋮ Algebraic Bethe ansatz for the supersymmetric \(t\)-\(J\) model with reflecting boundary conditions. ⋮ On boundary superalgebras ⋮ Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

Cites Work

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• Integrable quantum systems and classical Lie algebras
• Boundary conditions for integrable equations
• Bethe ansatz and quantum groups: the light-cone lattice approach. I: Six vertex and SOS models
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• Integrable open-boundary conditions for the supersymmetric \(t\)-\(J\) model. The quantum-group-invariant case
• Exact solution of the \(\text{SU}_{q}(n)\)-invariant quantum spin chains
• Exact solution of the Perk-Schultz model
• 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
• Boundary conditions for integrable quantum systems
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain

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