Integrable open boundary conditions for the Bariev model of three coupled XY spin chains. (English) Zbl 0970.82010
Summary: The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived.
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82B10 | Quantum equilibrium statistical mechanics (general) |
Keywords:
boundary quantum inverse scattering method; diagonal boundary K-matrices; boundary HamiltonianReferences:
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