We conclude our investigations of the local magnetic field distributions P(h) by examining disordered spin systems. Exact analytical results are given on the Bethe lattice with random bonds and the Sherrington-Kirkpatrick (SK) spin-glass model. Below the spin-glass transition temperature Tg of the SK model, the slope of P(0) as a function of temperature is found to be almost linear, frozen to its value at Tg, in a manner reminiscent of other freezing phenomena found for this model. Simulations on finite-range models appear to show a correlated onset of certain features characteristic of the spin-glass phase of the SK (infinite-range) model but at a temperature higher than any associated with a phase transition.
ASJC Scopus subject areas
- Condensed Matter Physics