Validating a novel approach to the two-dimensional Ising model phase transition
C. Monahan* and A. Klomparens
*: corresponding author
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Pre-published on: June 29, 2026
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Abstract
The Ising model serves as a model for magnetic phase transitions and as a testing ground for the study of strongly-coupled systems. The model is exactly solvable in two dimensions and can be simulated with relatively small computing resources. We investigate the phase transition of the Ising model through a novel scaling procedure first proposed to explore the phase structure of a theory with four $SU(2)$ doublet fermions in Butt et al.~(PRL 134, 2025, 031602). We present a numerical validation of this scaling procedure by demonstrating that the procedure aligns with the known properties of the two-dimensional Ising model.
DOI: https://doi.org/10.22323/1.518.0273
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