| Abstract: | We study a system of Ising spins with quenched random infinite ranged p-spin interactions. For p → ∞, we can solve this model exactly either by a direct microcanonical argument, or through the introduction of replicas and Parisi's ultrametric ansatz for replica symmetry breaking, or by means of TAP mean field equations. Although the model is extremely simple it retains the characteristic features of a spin glass. We use it to confirm the methods that have been applied in more complicated situations and to explicitlu exhibit the structure of the spin glass phase. |
