Lower critical dimension of the random-field ising model: A Monte Carlo study

David Andelman*, H. Orland, L. C.R. Wijewardhana

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents extensive Monte Carlo simulations of the random-field Ising model in various dimensions for long times in moderately large systems, and specifically addresses the question of whether the lower critical dimension is 2 or 3. The authors find long-range order for d=3 and no long-range order for d=2. The marginality of the d=2 case is further checked by studying a system in d=ln8ln31.89 dimensions simulated by a fractal; the authors thus conclude that the lower critical dimension is 2.

Original languageEnglish
Pages (from-to)145-148
Number of pages4
JournalPhysical Review Letters
Volume52
Issue number2
DOIs
StatePublished - 1984
Externally publishedYes

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