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arXiv · 2410.19345

Locating Critical Points Using Ratios of Lee-Yang Zeros

Tatsuya Wada·Masakiyo Kitazawa·Kazuyuki Kanaya
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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.

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Tatsuya Wada, Masakiyo Kitazawa, Kazuyuki Kanaya. 2024-10-25. Locating Critical Points Using Ratios of Lee-Yang Zeros. https://doi.org/10.1103/physrevlett.134.162302

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