Proves self-averaging of replica overlaps in the random-field EA model in any dimension using free energy derivatives and Tasaki's inequality.
Non-Mean-Field Behavior of Realistic Spin Glasses
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abstract
We provide rigorous proofs which show that the main features of the Parisi solution of the Sherrington-Kirkpatrick spin glass are not valid for more realistic spin glass models in any dimension and at any temperature.
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math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Self-averaging of replica overlaps in the random field Edwards-Anderson model
Proves self-averaging of replica overlaps in the random-field EA model in any dimension using free energy derivatives and Tasaki's inequality.