Effect of random anisotropy on magnetic properties of amorphous systems

J. D. Patterson, G. R. Gruzalski, D. J. Sellmyer

Research output: Contribution to journalArticle

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Abstract

We consider the random anisotropy model for amorphous magnetism by making a local-mean-field approximation (LMFA) on arrays of spin-one particles. Hysteresis loops and the temperature (T) dependence of several thermodynamic quantities are presented for various values of the ratio of the strength of the exchange (J) to the strength of the uniaxial anisotropy (D). Using the LMFA limits us to systems with a small number (N) of spins, of which we explicitly consider N=64, 216, and 1000. We assume periodic boundary conditions on a system with N13 spins along an edge, nearest-neighbor coupling of constant strength, and six nearest neighbors (as for a simple cubic lattice). For J>0 the free energy of spin-glass-like states is higher than that of corresponding states with remanent magnetization. The dependence of the coercive field (Bc) on J and D is discussed and the apparent discrepancy of Chi and Alben vis à vis Callen, Liu, and Cullen concerning the behavior of Bc for large D is clarified. A calculation of the temperature dependence of Bc is presented which is reminiscent of experimental results. This random anisotropy is found to give rise to a second peak in the specific heat for suitable values of DJ. The magnetic susceptibility (χT) is calculated for both positive and negative J and shows positive and negative paramagnetic Curie-Weiss temperatures, respectively. The slopes of the χT-1(T) curves for T well above the critical temperature (Tc) have values that are roughly equal to 32, the value appropriate to D=0 and S=1. The local order parameter q is used to identify Tc, which correlates well with the critical temperature identified from other thermodynamic quantities. The presence of the random anisotropy is found to reduce Tc by up to about 25%. The results of several temperature-dependent calculations are summarized in a phase diagram and regions of paramagnetic, random ferromagnetic, and random antiferromagnetic (or spin-glass-like) behavior are identified.

Original languageEnglish (US)
Pages (from-to)1377-1390
Number of pages14
JournalPhysical Review B
Volume18
Issue number3
DOIs
StatePublished - Jan 1 1978

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Magnetic properties
Anisotropy
magnetic properties
anisotropy
Spin glass
spin glass
critical temperature
Temperature
thermodynamics
Thermodynamics
cubic lattices
approximation
temperature
Magnetism
Curie temperature
Hysteresis loops
Magnetic susceptibility
free energy
hysteresis
phase diagrams

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Effect of random anisotropy on magnetic properties of amorphous systems. / Patterson, J. D.; Gruzalski, G. R.; Sellmyer, D. J.

In: Physical Review B, Vol. 18, No. 3, 01.01.1978, p. 1377-1390.

Research output: Contribution to journalArticle

Patterson, J. D. ; Gruzalski, G. R. ; Sellmyer, D. J. / Effect of random anisotropy on magnetic properties of amorphous systems. In: Physical Review B. 1978 ; Vol. 18, No. 3. pp. 1377-1390.
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