Volume 47, Number 3, August I 1999
|Page(s)||364 - 370|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
An exactly solvable model of generalized spin ladder
Institut für Angewandte Mathematik, Universität Bonn - D-53115 Bonn, Germany Fakultät für Mathematik, Ruhr-Universität Bochum - D-4478 Bochum, Germany
2 Institut für Physik, Universität Augsburg - 86135 Augsburg, Germany Laboratory of Ultra-Low Temperature Physics, Chinese Academy of Science Beijing 100080, PRC
Accepted: 1 June 1999
A detailed study of an spin ladder model is given. The ladder consists of plaquettes formed by nearest-neighbor rungs with all possible -invariant interactions. For properly chosen coupling constants, the model is shown to be integrable in the sense that the quantum Yang-Baxter equation holds and one has an infinite number of conserved quantities. The R-matrix and L-operator associated with the model Hamiltonian are given in a limiting case. It is shown that after a simple transformation, the model can be solved via a Bethe ansatz. The phase diagram of the ground state is exactly derived using the Bethe ansatz equation.
PACS: 75.10.Jm – Quantized spin models
© EDP Sciences, 1999
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