One dimensional spin glasses with potential decay 1/r 1+g . Absence of phase transitions and cluster properties
Springer Online Journal Archives 1860-2000
Abstract One-dimensional Ising spin systems interacting via a two-body random potential are considered; a decay with the distance like 1/r 1+ε is assumed. We consider only boundary conditions independent of the random realization of the interactions and prove uniqueness and cluster properties of Gibbs states with probability one.
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