Dipole-Exchange Spin Waves in a Ferromagnetic Nanotube

  • Yu. I. Gorobets Institute of Magnetism, Nat. Acad. of Sci. of Ukraine
  • V. V. Kulish Department of General and Experimental Physics, National Technical University of Ukraine “Kyiv Politechnic Institute”
Keywords: spin wave, nanomagnetics, ferromagnetic nanotube, dipole-exchange theory

Abstract

Spin waves in a cylindrical ferromagnetic nanotube are studied. A nanotube with an external magnetic field applied parallel to its symmetry axis is considered. A linearized Landau–Lifshitz equation in the magnetostatic approximation is used with regard for the magnetic dipole-dipole interaction, exchange interaction, and anisotropy effects. As a result, the dispersion relation and the radial wavenumber spectrum for spin waves in the above-described nanotube are found. From the radial wavenumber spectrum, limitations on the transverse-angular modes are defined.

References

A.I. Akhiezer, V.G. Bar'yakhtar, and S.V. Peletminskii, Spin Waves (North-Holland, Amsterdam, 1968).

V.V. Kruglyak, S.O. Demokritov, and D. Grundler, J. Phys. D: Appl. Phys. 43, 264001 (2010).

D. Grundler, Phys. World 15, 39 (2002).

R. Arias and D.L. Mills, Phys. Rev. B 63, 134439 (2001).

P. Monceau and J.-C. S. L´evy, Phys. Lett. A 374, 1872 (2010).

C.G. Bezerra, M.S. Vasconcelos, E.L. Albuquerque, and A.M. Mariz, Phys. A 329, 91 (2003).

Yu.I. Gorobets, A.N. Kuchko, and S.A. Reshetnyak, Phys. Solid State 38, 315 (1996).

S.A. Nikitova, Yu.V. Gulyaeva, and A.D. Boardmanb, Waves in Random Media 6, 61 (1996).

R.P. van Stapele, F.J.A.M. Greidanus, and J.W. Smits, J. Appl. Phys. 57, 1282 (1985).

B.A. Kalinikos, N.G. Kovshikov, and A.N. Slavin, J. Appl. Phys. 69, 5712 (1991).

M. Bauer, O. B¨uttner, S.O. Demokritov, B. Hillebrands, V. Grimalsky, Yu. Rapoport, and A.N. Slavin, Phys. Rev. Lett. 81, 3769 (1998).

K.Yu. Guslienko and A.N. Slavin, J. Appl. Phys. 87, 6337 (2000).

F.G. Aliev, J.F. Sierra, A.A. Awad, G.N. Kakazei, D.-S. Han, S.-K. Kim, V. Metlushko, B. Ilic, and K.Y. Guslienko, Phys. Rev. B 79, 174433 (2009).

J. Jorzick, S.O. Demokritov, C. Mathieu, B. Hillebrands, B. Bartenlian, C. Chappert, F. Rousseaux, and A.N. Slavin, Phys. Rev. B 60, 15194 (1999).

R. Skomski, M. Chipara, and D.J. Sellmyer, J. Appl. Phys. 93, 7604 (2003).

P.C. Fletcher and C. Kittel, Phys. Rev. 120, 2004 (1960).

S.M. Ch´erif, Y. Roussign´e, C. Dugautier, and P. Moch, J. Magn. Magn. Mater. 222, 337 (2000).

B. Dieny, S. Sankar, M.R. McCartney, D.J. Smith, P. Bayle-Guillemaud, and A.E. Berkowitz, J. Magn. Magn. Mater. 185, 283 (1998).

K. Yakushiji, S. Mitani, K. Takanashi, J.-G. Ha, and H. Fujimori, J. Magn. Magn. Mater. 212, 75 (2000).

M. Inoue, K. Arai, T. Fujii, and M. Abe, J. Appl. Phys. 85, 5768 (1999).

A. Butera, J.N. Zhou, and J.A. Barnard, Phys. Rev. B 60, 12270 (1999).

A. Figotin and I. Vitebskiy, Phys. Rev. B 67, 165210 (2003).

S. Ohnuma, N. Kobayashi, T. Masumoto, S. Mitani, and H. Fujimori, J. Appl. Phys. 85, 4574 (1999).

P. Gr¨unberg and K. Mika, Phys. Rev. B 27, 2955 (1983).

I.L. Lyubchanskii, N.N. Dadoenkova, M.I. Lyubchanskii, E.A. Shapovalov, and T.H. Rasing, J. Phys. D: Appl. Phys. 36, R277 (2003).

https://doi.org/10.1088/0022-3727/36/18/R01

L. Maya, J.R. Thompson, K.J. Song, and R.J. Warmack, J. Appl. Phys. 83, 905 (1998).

Y.C. Sui, R. Skomski, K.D. Sorge, and D.J. Sellmyer, Appl. Phys. Lett. 84, 1525 (2004).

K. Nielsch, F.J. Castaсo, C.A. Ross, and R. Krishnan, J. Appl. Phys. 98, 034318 (2005).

K. Nielsch, F.J. Castaсo, S. Matthias, W. Lee, and country-regionplaceC.A. Ross, 7, 217 (2005).

P. Landeros, S. Allende, J. Escrig, E. Salcedo, D. Altbir, and E.E. Vogel, Appl. Phys. Lett. 90, 102501 (2007).

Z.K. Wang, H.S. Lim, H.Y. Liu, S.C. Ng, M.H. Kuok, L.L. Tay, D.J. Lockwood, M.G. Cottam, K.L. Hobbs, P.R. Larson, J.C. Keay, G.D. Lian, and M.B. Johnson, Phys. Rev. Lett. 94 (2005) 137208.

https://doi.org/10.1103/PhysRevLett.94.137208

R. Sharif, S. Shamaila, M. Ma, L.D. Yao, R.C. Yu, X.F. Han, and M. Khaleeq-ur-Rahman, Appl. Phys. Lett. 92, 032505 (2008).

Y. Ye and B. Geng, Critical Reviews in Solid State and Materials Sciences 37, 75 (2012).

A.K. Salem, P.C. Searson, and K.W. Leong, Nat. Mater. 2, 668 (2003).

C.C. Berry and A.S.G. Curtis, J. Phys. D: Appl. Phys. 36, R198 (2003).

https://doi.org/10.1088/0022-3727/36/13/203

H. Leblond and V. Veerakumar, Phys. Rev. B 70, 134413 (2004).

A.L. Gonz´alez, P. Landeros, and A.S. N´u˜nez, J. Magn. Magn. Mater. 322, 530 (2010).

J.A. Ot´alora, J.A. L´opez-L´opez, A.S. N´u˜nez, and P. Landeros, J. Phys.: Condens. Matter 24, 436007 (2012).

V.V. Kruglyak, R.J. Hicken, A.N. Kuchko, and V.Yu Gorobets, J. Appl. Phys. 98, 014304 (2005).

V.V. Kruglyak, A.N. Kuchko, and V.I. Finokhin, Phys. Solid State 46, 867 (2004).

T.G. Rappoport, P. Redlinski, X. Liu, G. Zarand, J.K. Furdyna, and B. Janko, Phys. Rev. B 69, 125213 (2004).

Published
2018-10-23
How to Cite
Gorobets, Y., & Kulish, V. (2018). Dipole-Exchange Spin Waves in a Ferromagnetic Nanotube. Ukrainian Journal of Physics, 59(5), 541. https://doi.org/10.15407/ujpe59.05.0541
Section
Nanosystems