Spin-glass order defined by shattering and incongruence is rigorously derived for low-temperature Gibbs states of LDPC-code Hamiltonians on expander graphs, under strong code expansion and no redundancies.
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Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes
Spin-glass order defined by shattering and incongruence is rigorously derived for low-temperature Gibbs states of LDPC-code Hamiltonians on expander graphs, under strong code expansion and no redundancies.