Abstract
This report is on the equilibrium bi-domain structure in magnetic microparticles of cylindrical shape with circular or elliptic cross-section and finite thickness. The model is for two coaxial 180 degree domains. The dependence of the inner domain dimensions on bias magnetic field was estimated for a series of particle aspect ratios. It is shown that a change in bias field leads to significant variation in the inner domain radius and that such variations occur at decreasing field strength as the particle height increases. Results of our model are of importance for magnetic particles ground state calculations and analysis of spin-wave oscillations in ferrite micro- and nano-resonators with non-uniform internal magnetization.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Demokritov, B. Hillebrands, in Spin Dynamics in Confined Magnetic Structures, edited by B. Hillebrands, K. Ounadjela (Springer, Berlin, 2002)
R.P. Cowburn, J. Phys. D 33, R1 (2000)
J.N. Chapman, P.R. Aitchison, K.J. Kirk, S. McVitie, J.C.S. Kools. M.F. Gillies, J. Appl. Phys. 83, 5321 (1998)
C.A. Ross, M. Hwang, M. Shima, J.Y. Cheng, M. Farhoud, T.A. Savas, H.I. Smith, W. Schwarzacher, F.M. Ross, M. Redjdal, F.B. Humphrey, Phys. Rev. B 65, 144417 (2002)
Z.K. Wang, M.H. Kuok, S.C. Ng, D.J. Lockwood, M.G. Cottam, K. Nielsch, R.B. Wehrspohn, U. Gösele, Phys. Rev. Lett. 89, 027201 (2002)
A.A. Stashkevich, Y. Roussigne, P. Djemia, S.M. Cherif, P.R. Evans, A.P. Murphy, W.R. Hendren, R. Atkinson, R.J. Pollard, A.V. Zayats, G. Chaboussant, F. Ott, Phys. Rev. B. 80, 144406 (2009)
J.A. Osborn, Phys. Rev. 67, 351 (1945)
A. Aharoni, J. Appl. Phys. 83, 3432 (1998)
M. Beleggia, M. De Graef, Y.T. Millev, D.A. Goode, G. Rowlands, J. Phys. D 38, 3333 (2005)
E. Tartakovskaya, W. Kreuzpaintner, A. Schreyer, J. Appl. Phys. 103, 023913 (2008)
K.Yu. Guslienko, J. Nanosci. Nanotech. 8, 2745 (2008)
J. Escrig, P. Landeros, D. Altbir, E.E. Vogel, P. Vargas, J. Magn. Magn. Mater. 308, 233 (2007)
J. Escrig, D. Altbir, K. Nielsch, Nanotechnology 18, 225704 (2007)
J. Escrig, S. Allende, D. Altbir, M. Bahiana, J. Torrejon, G. Badini, M. Vazquez, J. Appl. Phys. 105, 023907 (2009)
S. Allende, J. Escrig, D. Altbir, E. Salcedo, M. Bahiana, Nanotechnology 20, 445707 (2009)
K. Pitzschel, J. Bachmann, J.M. Montero-Moreno, J. Escrig, D. Gorlitz, K. Nielsch, Nanotechnology 23, 495718 (2012)
K. Maaz, J.L. Duan, S. Karim, Y.H. Chen, H.J. Yao, D. Mo, Y.M. Sun, J. Liu, J. Alloys Compd. 662, 296 (2016)
A.A. Thiele, Bell System Tech. J. 48, 3287 (1969)
J.D. Jackson, Classical Electrodynamics (John Wiley & Sons Ltd., New York, 1962)
M. Beleggia, M. De Graef, J. Magn. Magn. Mater. 263, L1 (2003)
S. Tandon, M. Beleggia, Y. Zhu, M. De Graef, J. Magn. Magn. Mater. 271, 9 (2004)
P. Landeros, J. Escrig, D. Altbir, D. Laroze, J. d’Albuquerque e Castro, P. Vargas, Phys. Rev. B 71, 094435 (2005)
A. Hubert, R. Schäfer, Magnetic Domains: the Analysis of Magnetic Microstructures (Springer-Verlag, Berlin, 1998)
H.P.J. Wijn, in Landolt-Börnstein New Series III/4b, edited by K.H. Hellwege, A.M. Hellwege (Springer, New York, 1970)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover Publications, New York, 1972)
I.S. Gradshteyn, I.M. Ryzhik, A. Jeffrey, D. Zwillinger, Table of Integrals, Series, and Products (Elsevier/Academic Press, Amsterdam, 2000)
R.I. Joseph, J. Appl. Phys. 37, 4639 (1966)
E. Kausel, M.M. Irfan Baig, Quart. Appl. Math. 70, 77 (2012)
I.V. Zavislyak, G.P. Golovach, M.A. Popov, V.F. Romanyuk, J. Commun. Techn. Electr. 51, 203 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Popov, M.A. Equilibrium bi-domain configuration in cylindrical magnetic microparticles. Eur. Phys. J. B 90, 55 (2017). https://doi.org/10.1140/epjb/e2017-70748-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2017-70748-9