“M-p Balanced Spin-Glass Model with P=4 Displays Multiple Broken Replica States and Gardner Transition Requiring Quintic Landau Expansion”

https://pubmed.ncbi.nlm.nih.gov/38115428

The M-p balanced spin-glass model with p=4 exhibits different broken replica states, including 1RSB and FRSB, and the Gardner transition to FRSB requires Landau expansion to quintic order, with fluctuation effects potentially removing certain transitions in specific dimensions.