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A complete proof that square ice entropy is $\tfrac 32\log _{2} (4/3)$

Published online by Cambridge University Press:  28 April 2022

SILVÈRE GANGLOFF*
Affiliation:
Faculty of Applied Mathematics of AGH, Mickiewicza, A-3/A-4, Krakow, Poland

Abstract

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 $\tfrac 32\log _{2} (4/3)$ .

Type
Original Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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