TY - JOUR

T1 - Low-temperature phase diagram and critical properties of a dilute spin glass

AU - Aharony, A.

PY - 1978

Y1 - 1978

N2 - Exact results are found using the 'replica' method, for the zero-temperature phase diagram of a random Ising system with the nearest-neighbour exchange coupling having probabilities p, q and r of being positive, negative or zero. The system exhibits paramagnetic (PM), ferromagnetic (FM), antiferromagnetic (AFM) and spin-glass (SG) phases. The concentrations for which the transitions FM to SG and AFM to SG (at r=0) and PM to SG (p=q) occur are exactly calculated for various lattices in two and three dimensions. The former has Ising model exponents, and the latter has exponents of the s-state Potts model with s to 1/2. Crossover effects to finite temperatures are discussed. The results in the ordered phases are shown to be problematic, since they do not allow frustrated bonds. This casts light on the limitations of the 'replica' method.

AB - Exact results are found using the 'replica' method, for the zero-temperature phase diagram of a random Ising system with the nearest-neighbour exchange coupling having probabilities p, q and r of being positive, negative or zero. The system exhibits paramagnetic (PM), ferromagnetic (FM), antiferromagnetic (AFM) and spin-glass (SG) phases. The concentrations for which the transitions FM to SG and AFM to SG (at r=0) and PM to SG (p=q) occur are exactly calculated for various lattices in two and three dimensions. The former has Ising model exponents, and the latter has exponents of the s-state Potts model with s to 1/2. Crossover effects to finite temperatures are discussed. The results in the ordered phases are shown to be problematic, since they do not allow frustrated bonds. This casts light on the limitations of the 'replica' method.

UR - http://www.scopus.com/inward/record.url?scp=0041973119&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/11/11/004

DO - 10.1088/0022-3719/11/11/004

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AN - SCOPUS:0041973119

SN - 0022-3719

VL - 11

SP - L457-L463

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 11

M1 - 004

ER -