MIGDAL-KADANOFF STUDY OF THE RANDOM-FIELD ISING-MODEL

Authors
CAO MS MACHTA J
Citation
Ms. Cao et J. Machta, MIGDAL-KADANOFF STUDY OF THE RANDOM-FIELD ISING-MODEL, Physical review. B, Condensed matter, 48(5), 1993, pp. 3177-3182
Citations number
34
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
48
Issue
5
Year of publication
1993
Pages
3177 - 3182
Database
ISI
SICI code
0163-1829(1993)48:5<3177:MSOTRI>2.0.ZU;2-A
Abstract
The random-field Ising model is studied within a Migdal-Kadanoff renor malization-group scheme. For dimension d = 3 the recursion relations a nd the zero-temperature fixed point are studied numerically. There is a continuous phase transition with magnetization exponent beta = 0.02. The magnetization as a function of temperature displays an abrupt cro ssover from pure Ising to random-field behavior. Analytic results are obtained within a d = 2 + epsilon expansion.