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Zero temperature magnetization of a one-dimensional spin glass
Authors:E. Gardner  B. Derrida
Affiliation:(1) Service de Physique Théorique, CEN-Saclay, 91191 Gif sur Yvette, Cedex, France;(2) Service de Physique Théorique, CEN-Saclay, 91191 Gif sur Yvette, Cedex, France;(3) Department of Physics, The Weizmann Institute of Science, Israel
Abstract:We calculate the zero temperature magnetizationm of a one-dimensional Ising spin glass is a weak magnetic fieldh. We show thatmsimChx and give closed expressions for the constantC and the exponentx which both depend on the probability distribution of nearest-neighbor interactions.
Keywords:Spin glass  Ising chain  magnetization
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