# Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model

@article{Baxter1973EightvertexMI, title={Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model}, author={Rodney J. Baxter}, journal={Annals of Physics}, year={1973}, volume={76}, pages={25-47} }

## 246 Citations

A Three-Dimensional Solvable Model

- Physics
- 1993

The solvable generalized chiral Potts model can be interpreted as a three-dimensional lattice model with local interactions. To within a minor modification of the boundary conditions it is an Ising…

Functional relations in the eight - vertex model

- Physics
- 2007

We observe that the exactly solvedight-vertex solid-on-solid model contains an hitherto unnoticed arbitrary field parameter, similar to the horizontal fi eld in the six-vertex model. The parameter is…

An Ising-type formulation of the six-vertex model

- Physics
- 2022

. We show that the celebrated six-vertex model of statistical mechanics (along with its multistate generalizations) can be reformulated as an Ising-type model with only a two-spin interaction. Such a…

Bethe Ansatz for Higher Spin Eight-Vertex Models

- Physics
- 1995

A generalization of the eight-vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe ansatz.…

Quantum anisotropic sigma and lambda models as spin chains

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2018

We consider lambda and anisotropic deformations of the principal chiral model and show how they can be quantised in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is…

The emerging role of number theory in exactly solvable models in lattice statistical mechanics

- Mathematics
- 1987

Ja n 20 07 Analytic theory of the eight-vertex model

- Mathematics
- 2008

We observe that the exactly solved eight-vertex solid-on-solid model contains an hitherto unnoticed arbitrary field parameter, similar to the horizontal field in the six-vertex model. The parameter…

An antiperiodic dynamical six-vertex model: I. Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic eight-vertex model

- Mathematics
- 2012

The spin-1/2 highest weight representations of the dynamical six-vertex and the standard eight-vertex Yang–Baxter algebra on a finite chain are considered in this paper. In particular, the integrable…

Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

- Mathematics
- 1984

AbstractThe eight-vertex model is equivalent to a “solid-on-solid” (SOS) model, in which an integer heightli is associated with each sitei of the square lattice. The Boltzmann weights of the model…

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