Journal de Physique I

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DOI: 10.1051/jp1:1992141
J. Phys. I France 2 (1992) 251-261

Analytic determination of the complex field zeros of REM

C. Moukarzel and N. Parga

Centro Atómico Bariloche, 8400 S.C. de Bariloche, Río Negro, Argentina

(Received 5 September 1991, accepted in final form 21 November 1991)

Abstract
The complex field zeros of the Random Energy Model are analytically determined. For $T<T_{\rm c}$ they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For $T>T_{\rm c}$ a region is found which is free of zeros and is associated to the paramagnetic phase of the system. This region is separated from the former by a line of zeros. The real axis is found to be enclosed in a cloud of zeros in the whole frozen phase of the system.