3-Dimensional Multilayered 6-vertex Statistical Model: Exact Solution

TL;DR

This paper introduces an exactly solvable 3D multilayered 6-vertex statistical model using Bethe Ansatz, revealing a complex phase diagram and mappings to inhomogeneous models, advancing understanding of 3D integrable systems.

Contribution

It provides an exact solution for a 3D multilayered 6-vertex model with arbitrary interlayer coupling, expanding the class of solvable higher-dimensional models.

Findings

Derived the phase diagram in 3-parameter space.

Established exact mappings to inhomogeneous interlayer models.

Identified symmetry constraints leading to phase hierarchy.

Abstract

Solvable via Bethe Ansatz (BA) anisotropic statistical model on cubic lattice consisting of locally interacting 6-vertex planes, is studied. Symmetries of BA lead to infinite hierarchy of possible phases, which is further restricted by numerical simulations. The model is solved for arbitrary value of the interlayer coupling constant. Resulting is the phase diagram in general 3-parameter space. Exact mapping onto the models with some inhomogenious sets of interlayer coupling constants is established.