TY - JOUR

T1 - Low-concentration series expansions for dilute spin glasses at zero temperature

AU - Aharony, A.

AU - Binder, K.

PY - 1980

Y1 - 1980

N2 - An Ising (spin-1/2) model with random positive, negative and zero nearest-neighbour exchange coefficients is considered at zero temperature. The authors define two 'spin glass' susceptibilities, through average sums over ((sisj)2)av and ( mod (sisj) mod )av, where ( ) means averaging over degenerate ground states and ( )av means averaging over the random bond distribution. These susceptibilities are expanded in powers of the concentrations of the non-zero bonds, for the triangular (seven terms), square (nine terms) and d-dimensional hypercubic (eight terms) lattices. All the series show a singularity, which is associated with the paramagnetic to spin-glass phase transition. The phase boundary between these phases, and the corresponding critical exponents, are estimated.

AB - An Ising (spin-1/2) model with random positive, negative and zero nearest-neighbour exchange coefficients is considered at zero temperature. The authors define two 'spin glass' susceptibilities, through average sums over ((sisj)2)av and ( mod (sisj) mod )av, where ( ) means averaging over degenerate ground states and ( )av means averaging over the random bond distribution. These susceptibilities are expanded in powers of the concentrations of the non-zero bonds, for the triangular (seven terms), square (nine terms) and d-dimensional hypercubic (eight terms) lattices. All the series show a singularity, which is associated with the paramagnetic to spin-glass phase transition. The phase boundary between these phases, and the corresponding critical exponents, are estimated.

UR - http://www.scopus.com/inward/record.url?scp=29444448850&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/13/21/014

DO - 10.1088/0022-3719/13/21/014

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AN - SCOPUS:29444448850

SN - 0022-3719

VL - 13

SP - 4091

EP - 4108

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 21

M1 - 014

ER -