TY - JOUR
T1 - Dilute spin glasses at zero temperature and the 1/ 2-state Potts model
AU - Aharony, A.
AU - Pfeuty, P.
PY - 1979
Y1 - 1979
N2 - A random Ising model with random positive, negative and zero nearest-neighbour exchange coefficients (with probabilities p, q=p and r respectively) is considered at zero temperature. The s state Potts model in the limit s to 1/2 is shown to describe the statistics of those clusters of bonds which contain no frustrated plaquettes. The phase transition of this model is interpreted as corresponding to a 'Mattis spin-glass' ordering on these clusters, yielding an upper bound for the concentration p at which some spin-glass ordering must occur.
AB - A random Ising model with random positive, negative and zero nearest-neighbour exchange coefficients (with probabilities p, q=p and r respectively) is considered at zero temperature. The s state Potts model in the limit s to 1/2 is shown to describe the statistics of those clusters of bonds which contain no frustrated plaquettes. The phase transition of this model is interpreted as corresponding to a 'Mattis spin-glass' ordering on these clusters, yielding an upper bound for the concentration p at which some spin-glass ordering must occur.
UR - http://www.scopus.com/inward/record.url?scp=22244457503&partnerID=8YFLogxK
U2 - 10.1088/0022-3719/12/3/008
DO - 10.1088/0022-3719/12/3/008
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AN - SCOPUS:22244457503
SN - 0022-3719
VL - 12
SP - L125-L128
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
IS - 3
M1 - 008
ER -