The XXZ model with anti-periodic twisted boundary conditions
arXiv:0902.1079 · doi:10.1088/1751-8113/42/19/195008
Abstract
We derive functional equations for the eigenvalues of the XXZ model subject to anti-diagonal twisted boundary conditions by means of fusion of transfer matrices and by Sklyanin's method of separation of variables. Our findings coincide with those obtained using Baxter's method and are compared to the recent solution of Galleas. As an application we study the finite size scaling of the ground state energy of the model in the critical regime.
22 pages and 3 figures
References in corpus (2)
Cited by in corpus (13)
- Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
- Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
- Functional Bethe ansatz methods for the open XXX chain
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
- Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
- Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition
- Antiperiodic XXZ chains with arbitrary spins: Complete eigenstate construction by functional equations in separation of variables
- Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries
- Off-diagonal approach to the exact solution of quantum integrable systems
- Elementary excitations in an integrable twisted J1-J2 spin chain in the thermodynamic limit
- Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions
- Scattering matrix of elementary excitations in the antiperiodic XXZ spin chain with η=iπ/3
- T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature