Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Abstract

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra $U_q(A_2^{(2)})$ symmetry. Applying the $t-W$ method, we derive the homogeneous zero roots Bethe ansatz equations and the corresponding zero root patterns of the Izergin-Korepin model with generic integrable boundaries. Based on these results, we analytically compute the surface energies and boundary excitations in different regimes of boundary parameters of the model. It is shown that in some regimes, correlation effect appears between two boundary fields.

arXiv comment23 pages, 5 figures, 1 table

References in corpus (19)

• Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Exact Results for the Adsorption of a Flexible Self-Avoiding Polymer Chain in Two Dimensions
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• The exact solution and the finite size behaviour of the $Osp(1|2)$ invariant spin chain
• Reflection K-Matrices for 19-Vertex Models
• Boundary quantum group generators of type A
• Twisted quantum affine algebras and solutions to the Yang-Baxter equation
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Exact surface energy and helical spinons in the XXZ spin chain with arbitrary non-diagonal boundary fields
• Exact ground state and elementary excitations of a topological spin chain
• The twisted quantum affine algebra $U_q(A^{(2)_2)$ and correlation functions of the Izergin-Korepin model
• Discrete holomorphicity and integrability in loop models with open boundaries
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• Self-avoiding trails with nearest neighbour interactions on the square lattice
• Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice
• Spectrum of the quantum integrable $D_2^{(2)}$ spin chain with generic boundary fields
• Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition
• Exact surface energy of the $D_2^{(1)}$ spin chain with generic non-diagonal boundary reflections

Cited by in corpus (1)

• Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions