REAL-SPACE RENORMALIZATION-GROUP FOR THE RANDOM-FIELD ISING-MODEL

MEJ NEWMAN*, BW ROBERTS, JP SETHNA, G.T. Barkema

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)16533-16538
Number of pages6
JournalPhysical review. B, condensed matter
Volume48
Issue number22
Publication statusPublished - 1 Dec 1993

Keywords

  • LOWER CRITICAL DIMENSION
  • CRITICAL-BEHAVIOR
  • SYSTEMS
  • TRANSITION
  • SURFACE

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