Replica Symmetry Breaking: Parisi Order Parameter

Ultrametric structure of spin glass states. q(x) encodes overlap distribution between pure states.

Temperature T 0.50
RSB Levels k 3
J (disorder) 1.0
Parisi's RSB solution (1979, Nobel 2021): the spin glass order parameter is a function q(x) on [0,1] rather than a single value. P(q) shows the overlap distribution between replicas. Full RSB → continuous q(x); k-RSB → k step function.