Lower Critical Dimension of the Random Field Ising Model
Oct, 198410 pages
Published in:
- Phys.Rev.Lett. 53 (1984) 1747
Report number:
- HUTMP B 164
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Abstract: (APS)
A new argument is given for a lower critical dimension dl=2 for the Ising model in a random magnetic field. It forms the basis for a proof that the three-dimensional model exhibits long-range order at zero temperature and small disorder. This settles the controversy between the values dl=2 and dl=3.- STATISTICAL MECHANICS: ISING
- STATISTICAL MECHANICS: CRITICAL PHENOMENA
- MAGNETIC FIELD
- BOUNDARY CONDITION
- LOW TEMPERATURE
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