An Exactly Solvable Model of Generalized Spin Ladder

Abstract

A detailed study of an $S=\frac{1}{2}$ spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown to be integrable in the sense that the quantum Yang-Baxter equation holds and one has an infinite number of conserved quantities. The R-matrix and L-operator associated with the model Hamiltonian are given in a limiting case. It is shown that after a simple transformation, the model can be solved via a Bethe ansatz. The phase diagram of the ground state is exactly derived using the Bethe ansatz equation.

References in corpus (7)

• One-dimensional spin-liquid without magnon excitations
• Non-Haldane Spin Liquid Models with Exact Ground States
• Finitely Correlated Generalized Spin Ladders
• Exact solution of a spin-ladder model
• A new family of models with exact ground states connecting smoothly the S=1/2 dimer and S=1 Haldane phases of 1D spin chains
• Elementary excitations in the gapped phase of a frustrated S=1/2 spin ladder: from spinons to the Haldane triplet
• Some New Exact Ground States for Generalize Hubbard Models

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• Ground state energy and mass gap of a generalised quantum spin ladder
• Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
• Open su(4)-invariant spin ladder with boundary defects
• Exactly solvable su(N) mixed spin ladders
• Exactly soluble isotropic spin-1/2 ladder models
• Integrability and PT-symmetry of $N$-Body Systems with Spin-coupling $\delta$-Interactions
• Three-magnon problem for exactly rung-dimerized spin ladders: from general outlook to Bethe Ansatze
• Multi-leg integrable ladder models
• Modulation structure of a frustrated spin ladder
• Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model
• Magnetic Susceptibility of an integrable anisotropic spin ladder system
• Integrable Stochastic Ladder Models