Department of Physics Papers

Document Type

Journal Article

Date of this Version

4-1-1987

Publication Source

Physical Review B

Volume

35

Issue

10

Start Page

4929

Last Page

4934

DOI

10.1103/PhysRevB.35.4929

Abstract

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.

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Date Posted: 12 August 2015

This document has been peer reviewed.