@article{644889246dc642d1aa9242f7317586d6,
title = "A comparative study of the Δh (M,ΔM) method reliability for square and triangular lattices",
abstract = "The ΔH (M,ΔM) method and its ability to determine the intrinsic switching field distributions of perpendicular recording media are numerically studied. Strong evidence is presented that this method, which is based on the mean-field approximation, has a well-defined reliability range, corroborating earlier results from micromagnetic and hysteron simulations. Specifically, it is shown that this well-behaved failure appears to be universal and independent from the actual lattice structure.",
author = "Yang Liu and Dahmen, {Karin A.} and A. Berger",
note = "Funding Information: Work at UIUC acknowledges support from NSF through Grant No. DMR 03-14279 and the Materials Computation Center Grant No. DMR 03-25939(ITR). Work at nanoGUNE acknowledges funding from the Department of Industry, Trade, and Tourism of the Basque Government and the Provincial Council of Gipuzkoa under the ETORTEK Program, Project No. IE06-172, as well as from the Spanish Ministry of Science and Education under the Consolider-Ingenio 2010 Program, Project No. CSD2006-53. FIG. 1. Triangular and square lattice in 2D. FIG. 2. Numerical results for Gaussian ISFD on a 2D triangular lattice with 10 6 hysterons. Rows: (top) σ ∕ J = 5 and (bottom) σ ∕ J = 50 . Columns: [Left, (a) and (d)] M ( H ) curves, main loop, and five recoil curves. [Middle, (b) and (e)] Δ H ( M , Δ M ) curves for the five recoil curves [(Solid lines) numerical result and (dotted lines) mean-field approximation]. [Right, (c) and (f)] Deviation from redundancy [ r i j ( M ) ] for the recoil curve pairs. FIG. 3. Reliability measures as functions of σ ∕ J . (a) P d , (b) R 2 , and (c) r . Insets show the reliability measures as functions of σ ∕ H ex . All the calculations are done for Gaussian ISFD on 2D lattices with 10 6 hysterons. ",
year = "2008",
doi = "10.1063/1.2828810",
language = "English (US)",
volume = "103",
journal = "Journal of Applied Physics",
issn = "0021-8979",
publisher = "American Institute of Physics",
number = "7",
}