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

Avishay Efrat; Moshe Schwartz

doi:10.1103/physreve.63.036124

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

Avishay Efrat·Moshe Schwartz

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Abstract

Random Ising systems on a general hierarchical lattice with both, random fields and random bonds, are considered. 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 $\{ϕ_i\}$.

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Avishay Efrat, Moshe Schwartz. 2001-01-02. Random field Ising systems on a general hierarchical lattice: Rigorous inequalities. https://doi.org/10.1103/physreve.63.036124

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