Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-10-21
Phys. Rev. Lett. 84 (2000) 1057
Physics
Condensed Matter
Disordered Systems and Neural Networks
reply to comment cond-mat/9812401 on ref. cond-mat/9811419
Scientific paper
10.1103/PhysRevLett.84.1057
The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper, Marinari, Parisi and Zuliani use out-of-equilibrium measurements to test for an Almeida-Thouless line. In our view such a dynamic approach is not based on very solid foundations in finite dimensional systems and so cannot be as compelling as equilibrium approaches. Nevertheless, the results of those authors suggests that there is a critical field near B=0.4 at zero temperature. In view of this quite small value (compared to the mean field value), we have reanalyzed our data. We find that if finite size scaling is to distinguish between that small field and a zero field, we would need to go to lattice sizes of about 20x20x20.
Houdayer Jerome
Martin Olivier C.
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