Discontinuous replica symmetry breaking in mean-field spin glasses forces a shattering phase just below the critical temperature, but the converse fails.
The Parisi formula has a unique minimizer
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On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses
Discontinuous replica symmetry breaking in mean-field spin glasses forces a shattering phase just below the critical temperature, but the converse fails.