Comment on a recent conjectured solution of the three-dimensional Ising model

Abstract

In a recent paper published in Philosophical Magazine [Z.-D. Zhang, Phil. Mag. 87 (2007) p.5309], the author advances a conjectured solution for various properties of the three-dimensional Ising model. Here, we disprove the conjecture and point out the flaws in the arguments leading to the conjectured expressions.

Keywords:

• 3D Ising model
• exact solution
• conjectured results

Acknowledgement

We are grateful to Professor Michael Aizenman for advice in connection with the reference listed below under 7.

Notes

^†Key assumptions made in [4] are not presented in a logical sequence but are often hidden in inconspicuous places, making it difficult for a reader to see what is really going on.