Locating Critical Points Using Ratios of Lee-Yang Zeros

Abstract

We propose a method to numerically determine the location of a critical point in general systems using the finite-size scaling of Lee-Yang zeros. This method makes use of the fact that the ratios of Lee-Yang zeros on various spatial volumes intersect at the critical point. While the method is similar to the Binder-cumulant analysis, it is advantageous in suppressing the finite-volume effects arising from the mixing of variables in general systems. We show that the method works successfully for numerically locating the CP in the three-dimensional three-state Potts model with a nonzero external field.

6 pages, 3 figures, Minor changes

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Cited by in corpus (3)

• Lee-Yang-zero ratio method in three-dimensional Ising model
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations
• A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function