Numerical study of the overlap Lee-Yang singularities in the three-dimensional Edwards-Anderson model

Abstract

We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the spin-glass phase). Studying the behavior of the zeros at the critical point, we have obtained an accurate measurement of the anomalous dimension in very good agreement with the values quoted in the literature. In addition, by studying the density of the zeros we have been able to characterize the phase transition and to investigate the Edwards-Anderson order parameter in the spin-glass phase, finding agreement with the values obtained using more conventional techniques.

20 pages, 11 figures. Some typos corrected and references added

References in corpus (8)

• The critical behavior of three-dimensional Ising spin glass models
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Scaling Relations for Logarithmic Corrections
• Simulating spin systems on IANUS, an FPGA-based computer
• First order transition in a three dimensional disordered system
• Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
• Distribution of Lee-Yang zeros and Griffiths singularities in the $\pm J$ model of spin glasses