Possible line of critical points for a random field Ising model in dimension 2
- 1 January 1984
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 45 (12) , 577-581
- https://doi.org/10.1051/jphyslet:019840045012057700
Abstract
We study a particular random field Ising model in dimension 2 at 0 temperature. On each site the random field is either + ∞ with probability p/2, - ∞ with probability p/2 or 0 with probability 1 — p. Using finite size scaling arguments, we show that for small p, the average correlation function between two spins at distance R decreases like R-η( p) where the exponent η(p) = 2 πp + O(p2). The assumptions made to obtain this result and the possible generalizations to other random field models are discusseKeywords
This publication has 12 references indexed in Scilit:
- Random-field induced interface widths in Ising systemsZeitschrift für Physik B Condensed Matter, 1983
- The relation between amplitudes and critical exponents in finite-size scalingJournal of Physics A: General Physics, 1983
- Low-temperature behaviour of the random-field Ising modelJournal of Physics C: Solid State Physics, 1983
- Exact solution of a one-dimensional Ising model in a random magnetic fieldPhysical Review B, 1983
- Finite-size scaling and phenomenological renormalization (invited)Journal of Applied Physics, 1982
- Finite-size scaling and the two-dimensional XY modelJournal of Physics A: General Physics, 1982
- Commensurate-incommensurate transition with frozen impuritiesJournal de Physique Lettres, 1982
- On correlation functions in random magnetsJournal of Physics C: Solid State Physics, 1981
- Ferromagnetic Phase Transitions in Random Fields: The Breakdown of Scaling LawsPhysical Review Letters, 1976
- Random-Field Instability of the Ordered State of Continuous SymmetryPhysical Review Letters, 1975