Real-space renormalization group for the random-field Ising model
Mark E. J. Newman, B. W. Roberts, G. T. Barkema +1 more
We present real-space renormalization-group (RG) calculations of the critical properties of the random-field Ising model on a cubic lattice in three dimensions. We calculate the RG flows in a two-parameter truncation of the Hamiltonian space. As predicted, the transition at finite randomness is controlled by a zero-temperature, disordered critical fixed point, and we exhibit the universal crossover trajectory from the pure Ising critical point. We extract scaling fields and critical exponents, and study the distribution of barrier heights between states as a function of length scale.
arXiv:cond-mat/9304047•Physical review. B, Condensed matter•Dec 1, 1993•19 citations