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This article is cited in 2 scientific papers (total in 2 papers)
Evidence for a Phase Transition in Three-Dimensional Lattice Models
S. M. Sergeevab a Max Planck Institute for Mathematics
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Abstract:
It was recently discovered that an eigenvector structure of commutative families of layer-to-layer matrices in three-dimensional lattice models is described by a two-dimensional spin lattice generalizing the notion of one-dimensional spin chains. We conjecture the relations between the two-dimensional spin lattice in the thermodynamic limit and the phase structure of three-dimensional lattice models. We consider two simplest cases: the homogeneous spin lattice related to the Zamolodchikov–Bazhanov–Baxter model and a “chess spin lattice” related to the Stroganov–Mangazeev elliptic solution of the modified tetrahedron equation. Evidence for the phase transition is obtained in the second case.
Keywords:
three,dimensional integrable models, Zamolodchikov–Bazhanov–Baxter model.
Received: 18.12.2002
Citation:
S. M. Sergeev, “Evidence for a Phase Transition in Three-Dimensional Lattice Models”, TMF, 138:3 (2004), 369–382; Theoret. and Math. Phys., 138:3 (2004), 310–321
Linking options:
https://www.mathnet.ru/eng/tmf33https://doi.org/10.4213/tmf33 https://www.mathnet.ru/eng/tmf/v138/i3/p369
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