Proves self-averaging of replica overlaps in the random-field EA model in any dimension using free energy derivatives and Tasaki's inequality.
Absence of replica symmetry breaking in the random field Ising model
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abstract
It is shown that replica symmetry is not broken in the random field Ising model in any dimension, at any temperature and field strength, except possibly at a measure-zero set of exceptional temperatures and field strengths.
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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.