Analytic Determination of the Complex-Field Zeros of REM

نویسنده

  • C. Moukarzel
چکیده

The complex field zeros of the Random Energy Model are analytically determined. For T < Tc they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For T > Tc 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. PACS: 75.10.Nr (Spin Glasses), 05.20.-y (Stat.Mech.)

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تاریخ انتشار 1997