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square ice

Ergodic Theory and Dynamical Systems (1)

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A complete proof that square ice entropy is $\tfrac 32\log _{2} (4/3)$
Part of
- Equilibrium statistical mechanics
- Ergodic theory
SILVÈRE GANGLOFF
Journal:

Ergodic Theory and Dynamical Systems / Volume 43 / Issue 6 / June 2023

Published online by Cambridge University Press:

28 April 2022, pp. 1847-1908

Print publication:

June 2023
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In this text, we provide a fully rigorous and complete 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 $\tfrac 32\log _{2} (4/3)$ .