J. Phys. I France
Volume 1, Numéro 1, January 1991
Page(s) 13 - 18
DOI: 10.1051/jp1:1991113
J. Phys. I France 1 (1991) 13-18

Stretched exponential decay in an asymmetric $\mathsf{+ / -}~J$ spin chain

H. Rieger

Institut für Theoretische Physik, Universität zu Köln, 5000 Köln 41, F.R.G.

(Received 24 October 1990, accepted 29 October 1990)

The dynamics of a one-dimensional spin glass with allowance of asymmetric interactions among neighbouring spins is considered. The algebraic decay of the remanent magnetisation of the infinte $\pm$ J spin chain at zero temperature is no longer present for a nonvanishing probability of asymmetric bonds. Thus the asymmetric $\pm$ J spin chain shows an asymmetry induced phase transition at zero temperature. The analytical investigation of the model as well as computer simulations strongly suggest that the decay is stretched exponential when the probability of antisymmetric bond-pairs is not zero.

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