Random field Ising systems on a general hierarchical lattice: rigorous inequalities.
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)].
Efrat
A
A
School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel.
Schwartz
M
M