Abstract

An explicit and simple (approximated) solution of the ± J infinite-range Sherrington-Kirkpatrick (SK) model of spin glasses is presented: standard thermodynamic functions, valid for all temperatures, are derived by analysis of the partition function zeros in the complex temperature plane. Learning from computer calculations in finite systems, general thermodynamic considerations and a subsidiary heuristic assumption are used. The ground state energy is found to be −(6 log 2+5)/12 ≈ −0.76324, and the low-temperature specific heat as well the entropy are quadratic: 1.5 T 2 and 0.75 T 2 respectively.

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