article Open AccessTop 1% cited

The order parameter for spin glasses: a function on the interval 0-1

Journal of Physics A Mathematical and General · 1980 · Vol. 13(3) · pp. 1101–1112

Giorgio Parisi✉(Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati)

Abstract

The breaking of the replica symmetry in spin glasses is studied. It is found that the order parameter is a function on the interval 0-1. This approach is used to study the Sherrington-Kirkpatrick model. Exact results are obtained near the critical temperature. Approximated results at all the temperatures are in excellent agreement with the computer simulations at zero external magnetic field.

Theoretical and Computational Physics Complex Systems and Time Series Analysis Material Dynamics and PropertiesReplicaSpin glassInterval (graph theory)Function (biology)Symmetry breakingCondensed matter physicsSpin (aerodynamics)Order (exchange)Symmetry (geometry)Replica trick

Citations

814

FWCI

12.99

field-weighted impact

References

Percentile

99%

vs. same field & year

Citations per year

Cited by

A sequence of approximated solutions to the S-K model for spin glasses