The 6-vertex model of hydrogen-bonded crystals with bond defects

TL;DR

This paper demonstrates an exact solution for a 6-vertex model with bond defects in hydrogen-bonded crystals by establishing its equivalence to an 8-vertex model under an external electric field, including analysis on Bethe-like lattices.

Contribution

It introduces an exact solution for a 6-vertex model with bond defects by mapping it to an 8-vertex model, advancing understanding of hydrogen-bonded crystal models.

Findings

Exact solution for a specific 6-vertex model with bond defects

Equivalence established between 6-vertex and 8-vertex models under electric field

Analysis of the model on Bethe-like lattices

Abstract

It is shown that the percolation model of hydrogen-bonded crystals, which is a 6-vertex model with bond defects, is completely equivalent with an 8-vertex model in an external electric field. Using this equivalence we solve exactly a particular 6-vertex model with bond defects. The general solution for the Bethe-like lattice is also analyzed.