Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields

Abstract

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $T-Q$ relation at the ground state are calculated by the density matrix renormalization group. Based on our findings, the boundary energy of the system in the thermodynamic limit can be obtained from Bethe ansatz equations of a related model with parallel boundary fields. These results can be generalized to the $SU(2)$ symmetric high spin Heisenberg model directly.

arXiv comment26 pages, 4 figures

References in corpus (31)

• The density-matrix renormalization group
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Diffusion and ballistic transport in one-dimensional quantum systems
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• The half-infinite XXZ chain in Onsager's approach
• Deriving Boundary S Matrices
• Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
• Separation of Variables in the open XXX chain
• Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
• Surface excitations and surface energy of the antiferromagnetic XXZ chain by the Bethe ansatz approach
• Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• Exact solution for the spin-$s$ XXZ quantum chain with non-diagonal twists
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
• Inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin
• Functional Bethe ansatz methods for the open XXX chain
• Fused integrable lattice models with quantum impurities and open boundaries
• Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from SOV
• Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General Boundary Terms
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• Form factors of integrable Heisenberg (higher) spin chains
• Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms
• Bethe Ansatz solution for quantum spin-1 chains with boundary terms
• Thermodynamic limit and boundary energy of the SU(3) spin chain with non-diagonal boundary fields
• Boundary energy of the open XXX chain with a non-diagonal boundary term
• Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms

Cited by in corpus (3)

• Integrability and complexity in quantum spin chains
• $OSp(n|2m)$ quantum chains with free boundaries
• Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries