Integrable Chain Model with Additional Staggered Model Parameter

Abstract

The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both, the anisotropy \pmΔ, as well as shifts of the spectral parameters are considered and the corresponding integrable model is constructed. The Hamiltonian of the model is computed in fermionic and spin formulations. It involves three neighbour site interactions and therefore can be considered as a zig-zag ladder model. The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found. The model has a free fermionic limit at Δ=0 and the integrable boundary terms are found in this case. This construction is quite general and can be applied to other known integrable models.

LaTeX2e with epic macro, 21 pages; references added/corrected; the algebraic Bethe Ansatz solution for the staggered XXZ model is added

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Cited by in corpus (19)

• General boundary conditions for the sl(N) and sl(M|N) open spin chains
• Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model
• Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
• On the theory of plateau-plateau transitions in Quantum Hall Effect
• Note on the thermodynamic Bethe Ansatz approach to the quantum phase diagram of the strong coupling ladder compounds
• Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models
• Network Models: Action formulation
• Magnetocaloric effect in the spin-$1/2$ chain with competing interactions
• Generalization of the U_q(gl(N)) algebra and staggered models
• Integrable chain models with staggered R-matrices
• Next-nearest-neighbor spin-spin and chiral-spin correlation functions in generalized XXX chain
• Thermodynamics of quantum spin chains with competing interactions
• Unveiling chiral states in the XXZ chain: Finite-size scaling probing symmetry-enriched $c=1$ conformal field theories
• Multi-leg integrable ladder models
• Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition
• Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model
• Exact solution of an integrable anisotropic $J_1-J_2$ spin chain model
• Integrable XYZ Model with Staggered Anisotropy Parameter
• Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for