Random field Ising systems on a general hierarchical lattice: Rigorous inequalities

Avishay Efrat, Moshe Schwartz

Research output: Contribution to journalArticlepeer-review

Abstract

Random Ising systems on a general hierarchical lattice with both random fields and random bonds are investigated. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents.

Original languageEnglish
Article number036124
Pages (from-to)361241-361245
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume63
Issue number3 II
DOIs
StatePublished - Mar 2001

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