Rigorous relations for the cross-over behaviour due to random perturbations

Y. Shapir*, A. Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Derivatives of averaged response functions with respect to random perturbations are related exactly, in the limit of vanishing perturbations, to known thermodynamic functions of the pure model. Near the critical point, these relations confirm the values of the cross-over exponents (without assuming hyperscaling) and yield exact values for the related amplitudes. The examples of random fields and random exchange interactions are discussed in detail.

Original languageEnglish
Article number002
Pages (from-to)L905-L910
JournalJournal of Physics C: Solid State Physics
Issue number30
StatePublished - 1981


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