Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

Abstract

We investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz method. We obtain the homogeneous Bethe ansatz equations for the zero roots of the transfer matrix. Based on the patterns of the zero roots, we analytical calculate the densities of zero roots and the surface energies of the model in all regimes of the boundary parameters.

References in corpus (21)

• Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory
• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
• Exact solution for the spin-$s$ XXZ quantum chain with non-diagonal twists
• Algebraic Bethe ansatz for eight vertex model with general open-boundary conditions
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
• The XXZ model with anti-periodic twisted boundary conditions
• Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General 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
• Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
• Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Shor-Movassagh chain leads to unusual integrable model
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields

Cited by in corpus (1)

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