Thermodynamic limit and boundary energy of the SU(3) spin chain with non-diagonal boundary fields
arXiv:1608.04634 · doi:10.1016/j.nuclphysb.2016.12.003
Abstract
We investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T-Q relation to the ground state energy does vanish in the thermodynamic limit. This fact allows us to calculate the boundary energy of the system. Taking the su(2) (or the XXX) spin chain and the su(3) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
arXiv commentpublished version, 21 pages, 4 figures, typos are corrected
References in corpus (18)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Review of AdS/CFT Integrability: An Overview
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
- 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
- Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
- Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof
- Introduction to the Bethe ansatz II
- Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz
- Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
- 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
- Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields
- Quantum impurity in a Luttinger liquid: Exact solution of the Kane-Fisher model
- Completeness and Bethe root distribution of the spin-1/2 Heisenberg chain with arbitrary boundary fields
- Spin Transport Properties in Heisenberg Antiferromagnetic Spin Chains: Spin Current induced by Twisted Boundary Magnetic Fields
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- Surface energy of the one-dimensional supersymmetric model with unparallel boundary fields
- Surface energy and elementary excitations of the XXZ spin chain with arbitrary boundary fields
- Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
- Ground state solutions of inhomogeneous Bethe equations