Corpus ID: 216562710

# Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models

@article{Aggarwal2020NonexistenceAU,
title={Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models},
author={A. Aggarwal},
journal={arXiv: Probability},
year={2020}
}
• A. Aggarwal
• Published 2020
• Mathematics, Physics
• arXiv: Probability
In this paper we consider the existence and uniqueness of pure states with some fixed slope $(s, t) \in [0, 1]^2$ for a general ferroelectric six-vertex model. First, we show there is an open subset $\mathfrak{H} \subset [0, 1]^2$, which is parameterized by the region between two explicit hyperbolas, such that there is no pure state for the ferroelectric six-vertex model of any slope $(s, t) \in \mathfrak{H}$. Second, we show that there is a unique pure state for this model of any slope \$(s, t… Expand
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