2003
DOI: 10.1063/1.1541633
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Exchange through nonmagnetic insulating matrix

Abstract: Exchange interactions between hard-magnetic particles in a nonmagnetic matrix are investigated by model calculations. A Landau-Ginzburg approach is developed to describe the net exchange interactions between spheres of arbitrary diameters. Introducing cylindrical coordinates and integrating over the surfaces of the adjacent spheres yields an exchange coupling which decreases with a decay length depending on interatomic exchange, intra-atomic exchange, and temperature. Typically, the decay length does not excee… Show more

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Cited by 15 publications
(12 citation statements)
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“…The effective exchange between two grains shows a complicated dependence on factors such as grain separation and size, 11 interface structure, 12 and matrix composition.…”
mentioning
confidence: 99%
“…The effective exchange between two grains shows a complicated dependence on factors such as grain separation and size, 11 interface structure, 12 and matrix composition.…”
mentioning
confidence: 99%
“…͑5͒, and the net effect is usually stronger, as analyzed for magnetic particles in a bulk matrix. 17 Near-contact interactions are actually observed in some of our samples, where they improve the hysteresis-loop squareness. 11 Note that the net RKKY interactions decay more rapidly than dipole interactions and are a small though not necessarily negligible correction for particles larger than about 1 nm.…”
Section: Discussionmentioning
confidence: 99%
“…Intergranular exchange, and magnetostatic interactions, modify the coercivity of granular magnets. Atomically, it matters whether the matrix is ferromagnetic, paramagnetic, or insulating [3,12,13], but for small and weakly coupled grains, the exchange can be modeled by a single parameter J. (In general, the calculation of J involves an integration over all exchange paths and differs from what one would expect by counting the surface atoms of adjacent grains.…”
Section: Coherent Rotation and Discrete Pinningmentioning
confidence: 99%