About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Journal of Applied Physics
Paper
On the lower critical dimension of the random field Ising model (invited)
Abstract
The debate over the lower critical dimension of the Ising model in a random magnetic field is briefly reviewed. Simple energy accounting estimates of the surface tension of the model at zero temperature are summarized. These arguments predict that the lower critical dimension is two. Existing theoretical, numerical, and experimental support for this conclusion is assessed.