Zeros of the singular partition function of the fully frustrated superconducting array in the complex temperature plane

Abstract

We have analyzed complex zeros of the singular partition function of the fully frustrated square superconducting array. Zero contours of the singular partition function for different lattice sizes collapse into single scaling curves, providing an evidence that the predetermined exponent $\ensuremath{\nu}=0.813$ is correct. By analyzing zero-contour lines we have estimated the universal specific-heat amplitude ratio ${A}_{+}{/A}_{\ensuremath{-}}=1.04(4)$ and checked the Abe-Itzykson-Pearson-Zuber relation. By comparing several critical parameters, we have suggested possibilities that the fully frustrated square superconducting array belongs to the same universality class with the two-dimensional three-state Potts model.