Date of this Version
Physical Review B
We have studied the random-axis magnet with infinite anisotropy by three methods: Cayley-tree approximation, Migdal-Kadanoff renormalization group (MKRG), and Imry-Ma scaling. In the Cayley-tree approximation, by an examination of susceptibilities, it is shown that there exists a competition between the coordination number z and the number of components n of the spins which leads to either ferromagnetic or spin-glass order. Using the MKRG at very low temperature we map out approximately the regimes of the ferromagnetic, spin-glass, and disordered phases as a function of n and the spatial dimension, d. The Imry-Ma arguments are made as an additional method for obtaining information on the critical dimension. Comparisons of these results with the previous literature are made.
Harris, A., Caflisch, R. G., & Banavar, J. R. (1987). Random-Anisotropy-Axis Magnet With Infinite Anisotropy. Physical Review B, 35 (10), 4929-4934. http://dx.doi.org/10.1103/PhysRevB.35.4929
Date Posted: 12 August 2015
This document has been peer reviewed.