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arXiv · 1902.09274

A proof that square ice entropy is $\frac{3}{2} \log_2 (4/3)$

Silvère Gangloff
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Abstract

In this text, we provide a fully rigorous, complete and self-contained proof of E.H.Lieb's statement that (topological) entropy of square ice (or six vertex model, XXZ spin chain for anisotropy parameter $\Delta=1/2$) is equal to $\frac{3}{2}\log_2 (4/3)$. For this purpose, we gather and expose in full detail various arguments dispersed in the literature on the subject, and complete several of them that were left partial.

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Silvère Gangloff. 2019-02-25. A proof that square ice entropy is $\frac{3}{2} \log_2 (4/3)$. https://arxiv.org/abs/1902.09274

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