ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD

Journal article

The stability of ferromagnetism is studied in the three-dimensional Ising model, in the presence of a static, spatially random magnetic field. An approximation is introduced in which regions with a given spin direction are assumed not to contain smaller clusters of the reverse magnetisation. A combination of the Peierls argument with a rescaling transformation leads to a lower bound for the magnetisation, which is non-zero at low temperatures, provided the random field is not too strong.

Authors: Chalker, J

• Publication status: Published
• Journal: JOURNAL OF PHYSICS C-SOLID STATE PHYSICS
• Volume: 16
• Issue: 34
• Pages: 6615-6622
• Publication date: 1983-01-01
• DOI: 10.1088/0022-3719/16/34/011
• ISSN: 0022-3719
• Language: English