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

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

2001-01-02

arxiv.org/abs/cond-mat/0101013v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 13 pages, figs. 1a,1b,2. To be published in PRE

Scientific paper

10.1103/PhysRevE.63.036124

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
$\{\phi_i\}$.

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