Effective anisotropy due to the surface of magnetic nanoparticles

Garanin, D. A.

doi:10.1103/PhysRevB.98.054427

Title: Effective anisotropy due to the surface of magnetic nanoparticles

Journal Article · Mon Aug 27 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.98.054427· OSTI ID:1593712

Garanin, D. A. ^[1]

City Univ. of New York (CUNY), NY (United States)

Analytical solution has been discovered for the second-order effective anisotropy of magnetic nanoparticles of a cubic shape due to the surface anisotropy (SA) of the Néel type. Similarly to the spherical particles, for the simple cubic lattice the grand-diagonal directions (±1,±1,±1) are favored by the effective cubic anisotropy but the effect is twice as strong. Uniaxial core anisotropy and applied magnetic field cause screening of perturbations from the surface at the distance of the domain-wall width and reduce the effect of SA near the energy minima. Yet, screening disappears near the uniaxial energy barrier, and the uniform barrier state of larger particles may become unstable. For these effects the analytical solution is obtained as well, and the limits of the additive formula with the uniaxial and effective cubic anisotropies for the particle are established. Thermally-activated magnetization-switching rates have been computed by the pulse-noise technique for the stochastic Landau-Lifshitz equation for a system of spins.

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Research Organization:: City Univ. of New York (CUNY), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-93ER45487

OSTI ID:: 1593712

Alternate ID(s):: OSTI ID: 1466858

Journal Information:: Physical Review B, Vol. 98, Issue 5; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (45)

Magnetic properties of spherical fcc clusters with radial surface anisotropy Dimitrov, D. A.; Wysin, G. M. Physical Review B, Vol. 51, Issue 17 https://doi.org/10.1103/PhysRevB.51.11947	journal	May 1995
Effect of surface anisotropy on the hysteretic properties of a magnetic particle Dimian, M.; Kachkachi, H. Journal of Applied Physics, Vol. 91, Issue 10 https://doi.org/10.1063/1.1450846	journal	January 2002
Surface effects on ferromagnetic resonance in magnetic nanocubes Bastardis, R.; Vernay, F.; Garanin, D-A Journal of Physics: Condensed Matter, Vol. 29, Issue 2 https://doi.org/10.1088/0953-8984/29/2/025801	journal	November 2016
Influence of surface anisotropy on magnetization distribution in a single-domain particle Usov, N. A.; Grebenshchikov, Yu. B. Journal of Applied Physics, Vol. 104, Issue 4 https://doi.org/10.1063/1.2967709	journal	August 2008
Surface effects in metallic iron nanoparticles Bødker, F.; Mørup, S.; Linderoth, S. Physical Review Letters, Vol. 72, Issue 2 https://doi.org/10.1103/PhysRevLett.72.282	journal	January 1994
Constrained Monte Carlo method and calculation of the temperature dependence of magnetic anisotropy Asselin, P.; Evans, R. F. L.; Barker, J. Physical Review B, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevB.82.054415	journal	August 2010
Random Fields, Topology, and the Imry-Ma Argument Proctor, Thomas C.; Garanin, Dmitry A.; Chudnovsky, Eugene M. Physical Review Letters, Vol. 112, Issue 9 https://doi.org/10.1103/PhysRevLett.112.097201	journal	March 2014
ac susceptibility of an assembly of nanomagnets: Combined effects of surface anisotropy and dipolar interactions Vernay, F.; Sabsabi, Z.; Kachkachi, H. Physical Review B, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevB.90.094416	journal	September 2014
Modelling of the influence of the Néel surface anisotropy on the enhancement of the magnetic anisotropy in Co nanoparticle Yanes, R.; Chubykalo-Fesenko, O. Journal of Physics D: Applied Physics, Vol. 42, Issue 5 https://doi.org/10.1088/0022-3727/42/5/055013	journal	February 2009
Hysteretic properties of a magnetic particle with strong surface anisotropy Kachkachi, H.; Dimian, M. Physical Review B, Vol. 66, Issue 17 https://doi.org/10.1103/PhysRevB.66.174419	journal	November 2002
Magnetic anisotropy in single clusters Jamet, Matthieu; Wernsdorfer, Wolfgang; Thirion, Christophe Physical Review B, Vol. 69, Issue 2 https://doi.org/10.1103/PhysRevB.69.024401	journal	January 2004
Ferromagnetic resonance in systems with competing uniaxial and cubic anisotropies Kachkachi, H.; Schmool, D. S. The European Physical Journal B, Vol. 56, Issue 1 https://doi.org/10.1140/epjb/e2007-00090-x	journal	March 2007
Surface anisotropy in giant magnetic coercivity effect of cubic granular FeCo/SiO2 and NiCo/SiO2 films: A comparison with Néel’s theory Chen, Chen; Kitakami, Osamu; Okamoto, Satoshi Journal of Applied Physics, Vol. 86, Issue 4 https://doi.org/10.1063/1.371024	journal	August 1999
Surface effects in noninteracting and interacting γ-Fe2O3 nanoparticles Tronc, E.; Fiorani, D.; Noguès, M. Journal of Magnetism and Magnetic Materials, Vol. 262, Issue 1 https://doi.org/10.1016/S0304-8853(03)00011-8	journal	May 2003
The role of vortices in the three-dimensional random-field xy model Garanin, D. A.; Chudnovsky, E. M.; Proctor, T. EPL (Europhysics Letters), Vol. 103, Issue 6 https://doi.org/10.1209/0295-5075/103/67009	journal	September 2013
Magnetic Anisotropy of a Single Cobalt Nanocluster Jamet, M.; Wernsdorfer, W.; Thirion, C. Physical Review Letters, Vol. 86, Issue 20 https://doi.org/10.1103/PhysRevLett.86.4676	journal	May 2001
Formation Mechanism of Fe Nanocubes by Magnetron Sputtering Inert Gas Condensation Zhao, Junlei; Baibuz, Ekaterina; Vernieres, Jerome ACS Nano, Vol. 10, Issue 4 https://doi.org/10.1021/acsnano.6b01024	journal	March 2016
Random field $x y$ model in three dimensions Garanin, D. A.; Chudnovsky, E. M.; Proctor, T. Physical Review B, Vol. 88, Issue 22 https://doi.org/10.1103/PhysRevB.88.224418	journal	December 2013
Theory of magnetic interface anisotropy Victora, R. H.; MacLaren, J. M. Physical Review B, Vol. 47, Issue 17 https://doi.org/10.1103/PhysRevB.47.11583	journal	May 1993
Ferromagnetic nanoparticles with strong surface anisotropy: Spin structures and magnetization processes Berger, L.; Labaye, Y.; Tamine, M. Physical Review B, Vol. 77, Issue 10 https://doi.org/10.1103/PhysRevB.77.104431	journal	March 2008
Temperature dependence of the effective anisotropies in magnetic nanoparticles with Néel surface anisotropy Yanes, R.; Chubykalo-Fesenko, O.; Evans, R. F. L. Journal of Physics D: Applied Physics, Vol. 43, Issue 47 https://doi.org/10.1088/0022-3727/43/47/474009	journal	November 2010
Pulse-noise approach for classical spin systems Garanin, D. A. Physical Review E, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevE.95.013306	journal	January 2017
Surface and step magnetic anisotropy Chuang, D. S.; Ballentine, C. A.; O’Handley, R. C. Physical Review B, Vol. 49, Issue 21 https://doi.org/10.1103/PhysRevB.49.15084	journal	June 1994
Uniaxial Magnetic Anisotropy in Nanostructured $C o / C u (001)$ : From Surface Ripples to Nanowires Moroni, R.; Sekiba, D.; Buatier de Mongeot, F. Physical Review Letters, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevLett.91.167207	journal	October 2003
Effects of surface anisotropy on hysteresis in fine magnetic particles Dimitrov, D. A.; Wysin, G. M. Physical Review B, Vol. 50, Issue 5 https://doi.org/10.1103/PhysRevB.50.3077	journal	August 1994
Magnetic characterization of iron nanocubes Trunova, Anastasia V.; Meckenstock, R.; Barsukov, I. Journal of Applied Physics, Vol. 104, Issue 9 https://doi.org/10.1063/1.3005985	journal	November 2008
Surface Contribution to the Anisotropy of Magnetic Nanoparticles Garanin, D. A.; Kachkachi, H. Physical Review Letters, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevLett.90.065504	journal	February 2003
Effective anisotropies and energy barriers of magnetic nanoparticles with Néel surface anisotropy Yanes, R.; Chubykalo-Fesenko, O.; Kachkachi, H. Physical Review B, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevB.76.064416	journal	August 2007
Numerical evaluation of energy barriers in nano-sized magnetic elements with Lagrange multiplier technique Paz, E.; Garcia-Sanchez, F.; Chubykalo-Fesenko, O. Physica B: Condensed Matter, Vol. 403, Issue 2-3 https://doi.org/10.1016/j.physb.2007.08.042	journal	February 2008
Surface-induced cubic anisotropy in nanomagnets Kachkachi, H.; Bonet, E. Physical Review B, Vol. 73, Issue 22 https://doi.org/10.1103/PhysRevB.73.224402	journal	June 2006
Influence de la résonance paramagnétique sur l'effet Faraday ; discussion d un exemple Paquette, Guy Journal de Physique et le Radium, Vol. 15, Issue 4 https://doi.org/10.1051/jphysrad:01954001504025501	journal	January 1954
Microscopic Origin of Magnetic Anisotropy in Au/Co/Au Probed with X-Ray Magnetic Circular Dichroism Weller, D.; Stöhr, J.; Nakajima, R. Physical Review Letters, Vol. 75, Issue 20 https://doi.org/10.1103/PhysRevLett.75.3752	journal	November 1995
Surface anisotropy in ferromagnetic nanoparticles Labaye, Y.; Crisan, O.; Berger, L. Journal of Applied Physics, Vol. 91, Issue 10 https://doi.org/10.1063/1.1456419	journal	January 2002
Surface effects on the magnetic properties of ultrafine cobalt particles Respaud, M.; Broto, J. M.; Rakoto, H. Physical Review B, Vol. 57, Issue 5 https://doi.org/10.1103/PhysRevB.57.2925	journal	February 1998
Thermal and surface anisotropy effects on the magnetization reversal of a nanocluster Déjardin, P-M; Kachkachi, H.; Kalmykov, Yu P. Journal of Physics D: Applied Physics, Vol. 41, Issue 13 https://doi.org/10.1088/0022-3727/41/13/134004	journal	June 2008
Reversal time of the magnetization of single-domain ferromagnetic particles with mixed uniaxial and cubic anisotropy Coffey, William T.; Déjardin, Pierre-Michel; Kalmykov, Yuri P. Physical Review B, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevB.79.054401	journal	February 2009
Enhancement of the magnetic anisotropy of nanometer-sized Co clusters: Influence of the surface and of interparticle interactions Luis, F.; Torres, J. M.; García, L. M. Physical Review B, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevB.65.094409	journal	February 2002
Magnetic Anisotropy of a Single Cobalt Nanocluster Dupuis, V.; Jamet, M.; Mailly, D. The American Physical Society https://doi.org/10.17877/de290r-12691	text	January 2001
Effective anisotropies and energy barriers of magnetic nanoparticles with Neel surface anisotropy Yanes, R.; Chubykalo-Fesenko, O.; Kachkachi, H. arXiv https://doi.org/10.48550/arxiv.0705.1689	text	January 2007
Constrained Monte Carlo Method and Calculation of the Temperature Dependence of Magnetic Anisotropy Asselin, P.; Evans, R. F. L.; Barker, J. arXiv https://doi.org/10.48550/arxiv.1006.3507	text	January 2010
Pulse-noise approach for classical spin systems Garanin, D. A. arXiv https://doi.org/10.48550/arxiv.1610.04914	text	January 2016
Surface effects on ferromagnetic resonance in magnetic nanocubes Bastardis, R.; Vernay, F.; Garanin, D. -A. arXiv https://doi.org/10.48550/arxiv.1611.00614	text	January 2016
Effect of surface anisotropy on the hysteretic properties of a magnetic particle Dimian, M.; Kachkachi, H. arXiv https://doi.org/10.48550/arxiv.cond-mat/0112032	text	January 2001
Surface-induced cubic anisotropy in nanomagnets Kachkachi, H.; Bonet, E. arXiv https://doi.org/10.48550/arxiv.cond-mat/0510047	text	January 2005
Ferromagnetic resonance in systems with competing uniaxial and cubic anisotropies Kachkachi, H.; Schmool, D. S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0602369	text	January 2006

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