Analytical calculation of critical temperatures in some spin systems
Z. Burda, J. Wosiek
TL;DR
This paper introduces an analytical method for determining critical temperatures in spin systems, which is exact for selfdual systems and offers predictions for complex models like the 3D Ising model.
Contribution
The paper presents a new analytical approach to locate critical temperatures, extending its application to coupled Ising layers and the three-dimensional Ising model.
Findings
Exact for selfdual systems
Deviates slightly from Monte Carlo estimates for two-layer Ising system
Predicts 3D Ising critical temperature via two-layer solution
Abstract
A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard deviations. It predicts critical temperature of the three dimensional Ising model in terms of the solution of the two layer Ising system.
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