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arXiv:0901.2935 · The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics

Rejoinder to the Response to the Comment on ‘Conjectures on exact solution of three-dimensional (3D) simple orthorhombic Ising lattices’

Jacques H. H. Perk

Published Mar 18, 2009• 8 citations
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Abstract

It is shown that the arguments in the reply of Z.-D. Zhang defending his conjectures are invalid. His conjectures have been thoroughly disproved.
DOI
10.1080/14786430902776962

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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.