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arXiv:2302.10139 · Symmetry

Reply to Perk, J.H.H. Comment on “Zhang, D. Exact Solution for Three-Dimensional Ising Model. Symmetry 2021, 13, 1837”

Degang Zhang

Published Jan 31, 2023• 0 citations
arXivHTMLPDF

Abstract

In this reply, I point out that the comment by Jacques H. H. Perk [...]
DOI
10.3390/sym15020375

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It is argued that a recent article by Z.-D. Zhang is in error and violates well-known theorems.

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The error of Equation (15b) in my article [Z.D. Zhang, Phil. Mag. 87 (2007) p.5309] in the application of the Jordan–Wigner transformation does not affect the validity of the putative exact solution, since the solution is not derived directly from that equation. Other objections of Perk's comment [J.H.H. Perk, Phil. Mag. 89 (2009) p.761] are the same as those in Wu et al.'s comments [F.Y. Wu et al., Phil. Mag. 88 (2008) p.3093; p.3103], which do not stand on solid ground and which I have sought to refute in my previous response [Z.D. Zhang, Phil. Mag. 88 (2008) p.3097]. The conjectured solution can be utilized to understand critical phenomena in various systems, whereas the conjectures are open to rigorous proof.