Decay of the remanent magnetization in the asymmetric spin chain |
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Authors: | H. Rieger M. Schreckenberg |
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Affiliation: | (1) Institut für Theoretische Physik, Universität zu Köln, 5000 Köln 41, Germany;(2) Present address: Institute for Physical Science and Technology, University of Maryland, 20742 College Park, Maryland |
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Abstract: | The dynamics of the one-dimensional spin glass with asymmetric interactions between neighboring spins is considered. We confine ourselves to discrete couplings with values ±J. We show that the algebraic decay of the remanent magnetization of the infinite ±J-spin chain at zero temperature is only valid for symmetric couplings. Our analytical investigations as well as computer simulations show stretched exponential decay for any finite concentration of antisymmetric bonds. Thus, the asymmetric ±J-spin chain shows an asymmetry-induced phase transition at zero temperature. |
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Keywords: | Ising model spin glasses relaxation phenomena random matrices multispin coding |
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