Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 150, Issue 1, Pages 130-155Publisher
SPRINGER
DOI: 10.1007/s10955-012-0666-8
Keywords
Yang-Baxter equations; Integrable models; Eight vertex model; XYZ Heisenberg model; R-matrices
Categories
Funding
- Armenian Government grant [11-1c028]
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We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent R (ij) (u)-matrices of the six- and eight-vertex models, where the only constraint is the particle number conservation by mod(2). A complete classification of the solutions is performed. We have obtained also two spectral parameter dependent particular solutions R (ij) (u,v) of YBE. The application of the non-homogeneous solutions to construction of Zamolodchikov's tetrahedral algebra is discussed.
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