An overview of the mathematical structure of the three-dimensional (3D) Ising model is given
from the points of view of topology, algebra, and geometry. By analyzing the relationships …

In this work, we first present a detailed analysis of temperature-time duality in the 3D Ising
model, by inspecting the resemblance between the density operator in quantum statistical …

In this work, we first reveal the nature of three dimensions: the existence of non-local
behavior. Taking the three-dimensional (3D) Ising model as an example, we analyze the …

Scaling properties near the critical point indicates the existence of self-similarity behavior for
the critical phenomena. Although the system considered here is not a truly dynamic one, we …

Semiclassical theory has been used, with some success, to discuss Anderson localization
due to disorder. Our attention is focused on the quantum–chemical network model via a …

Based on the quaternionic approach developed by one of us [ZD Zhang, Phil. Mag. 87
(2007) 5309.] for the three-dimensional (3D) Ising model, we study in this work conformal …

This paper is a Response to Professor JHH Perk's recent Comment (arxiv: 1209.0731 v1).
We point out that the singularities of the reduced free energy {\beta} f, the free energy per …

Thirteen follow-up papers by Zhang and March perpetuate the errors of a 2007 paper by
Zhang, which was based on an incorrect application of the Jordan-Wigner transformation …