Classical spin dynamics of anisotropic Heisenberg dimmers

• Autorzy: Laura Pérez , Omar Suarez , David Laroze , Hector Mancini
• Języki publikacji: EN

Abstrakty

EN

In the present work we study the deterministic spin dynamics of two interacting anisotropic magnetic particles in the presence of an external magnetic field using the Landau-Lifshitz equation. The interaction between particles is through the exchange energy. We study both conservative and dissipative cases. In the first one, we characterize the dynamical behavior of the system by monitoring the Lyapunov exponents and bifurcation diagrams. In particular, we explore the dependence of the largest Lyapunov exponent respect to the magnitude of applied magnetic field and exchange constant. We find that the system presents multiple transitions between regular and chaotic behaviors. We show that the dynamical phases display a very complicated topology of intricately intermingled chaotic and regular regions. In the dissipative case, we calculate the final saturation states as a function of the magnitude of the applied magnetic field, exchange constant as well as the anisotropy constants.

Słowa kluczowe

EN

magnetization dynamics; chaos; Lyapunov exponents

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 12
• Strony: 1629-1637

Daty

wydano

2013-12-01

online

2013-12-20

Twórcy

autor

Laura Pérez

• Departamento de Física y Matemática Aplicada, Universidad de Navarra, Pamplona, 31080, Spain

autor

Omar Suarez

• Instituto de Alta Investigación, Universidad de Tarapacá, Arica, Casilla 7D, Chile

autor

David Laroze

autor

Hector Mancini

• Departamento de Física y Matemática Aplicada, Universidad de Navarra, Pamplona, 31080, Spain,

Bibliografia

• [1] A. Ardavan, O. Rival, J. J. L. Morton, S. J. Blundell, Phys. Rev. Lett. 98, 057201 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.057201[Crossref]
• [2] M. N. Leuenberger, D. Loss, Nature 410, 789 (2001) http://dx.doi.org/10.1038/35071024[Crossref]
• [3] M. Mannini et al., Nature Mater. 8, 194 (2009) http://dx.doi.org/10.1038/nmat2374[Crossref]
• [4] L. Bogani, W. Wernsdorfer, Nature Mater. 7, 179 (2008). http://dx.doi.org/10.1038/nmat2133[Crossref]
• [5] M. Manoli et al., Angew. Chem. Int. Ed. 46, 4456 (2007) http://dx.doi.org/10.1002/anie.200701027[Crossref]
• [6] G. Karotsis, M. Evangelisti, S. J. Dalgarno, E. K. Brechin. Angew. Chem. Int. Ed. 48, 9928 (2009) http://dx.doi.org/10.1002/anie.200905012[Crossref]
• [7] W. Linert, M. Verdaguer (Ed.), Molecular Magnets (Springer, Berlin, 2003)
• [8] D. Gatteschi, L. Pardi, A. L. Barra, A. Müller, J. Döring, Nature 354, 463 (1991) http://dx.doi.org/10.1038/354463a0[Crossref]
• [9] R. Sessoli, D. Gatteschi, A. Caneschi, M. A. Novak, Nature 365, 141 (1993) http://dx.doi.org/10.1038/365141a0[Crossref]
• [10] D. Gatteschi, A. Caneschi, L. Pardi, R. Sessoli, Science 265, 1054 (1994) http://dx.doi.org/10.1126/science.265.5175.1054[Crossref]
• [11] D. Gatteschi, Adv. Mater. 6, 635 (1994) http://dx.doi.org/10.1002/adma.19940060903[Crossref]
• [12] M. Axenovich, M. Luban, Phys. Rev. B 63, 100407 (2001) http://dx.doi.org/10.1103/PhysRevB.63.100407[Crossref]
• [13] A. Bencini, D. Gatteschi, Electron Paramagnetic Resonance of Exchange Coupled Systems (Springer, Berlin, 1990) http://dx.doi.org/10.1007/978-3-642-74599-7[Crossref]
• [14] L. Landau, E. M. Lifshitz, Phys. Z. Sowjetunion 8, 153 (1935)
• [15] T. L. Gilbert, IEEE Trans. Mag. 40, 3443 (2004), and references therein. http://dx.doi.org/10.1109/TMAG.2004.836740[Crossref]
• [16] P. E. Wigen (Ed.), Nonlinear Phenomena and Chaos in Magnetic Materials (World Scientific, Singapore, 1994)
• [17] I. D. Mayergoyz, G. Bertotti, C. Serpico, Nonlinear Magnetization Dynamics in Nanosystems (Elsevier, Dordrech, 2009)
• [18] L. F. Alvarez, O. Pla, O. Chubykalo, Phys. Rev. B 61, 11613 (2000) http://dx.doi.org/10.1103/PhysRevB.61.11613[Crossref]
• [19] D. Laroze, L. M. Perez, Phys. B 403, 473 (2008) http://dx.doi.org/10.1016/j.physb.2007.08.078[Crossref]
• [20] P. Diaz, D. Laroze, Int. J. Bif. Chaos 19, 3485 (2009) http://dx.doi.org/10.1142/S021812740902492X[Crossref]
• [21] D. V. Vagin, P. Polyakov, J. Appl. Phys 105, 033914 (2009) http://dx.doi.org/10.1063/1.3075838[Crossref]
• [22] R. K. Smith, M. Grabowski, R. E. Camley, J. Magn. Magn. Mater. 322, 2127 (2010) http://dx.doi.org/10.1016/j.jmmm.2010.01.045[Crossref]
• [23] I. V. Barashenkov, M. M. Bogdan, V. I. Korobov, Europhys. Lett. 15, 113 (1991) http://dx.doi.org/10.1209/0295-5075/15/2/001[Crossref]
• [24] M. G. Clerc, S. Coulibaly, D. Laroze, Phys. Rev. E 77, 056209 (2008) http://dx.doi.org/10.1103/PhysRevE.77.056209[Crossref]
• [25] M. G. Clerc, S. Coulibaly, D. Laroze, Int. J. Bif. Chaos 19, 2717 (2009) http://dx.doi.org/10.1142/S0218127409024438[Crossref]
• [26] M. G. Clerc, S. Coulibaly, D. Laroze, Int. J. Bif. Chaos 19, 3525 (2009) http://dx.doi.org/10.1142/S0218127409024967[Crossref]
• [27] M. G. Clerc, S. Coulibaly, D. Laroze, Physica D 239, 72 (2010) http://dx.doi.org/10.1016/j.physd.2009.10.008[Crossref]
• [28] M. G. Clerc, S. Coulibaly, D. Laroze, EPL 90, 38005 (2010) http://dx.doi.org/10.1209/0295-5075/90/38005[Crossref]
• [29] M. G. Clerc, S. Coulibaly, D. Laroze, EPL 97, 30006 (2012) http://dx.doi.org/10.1209/0295-5075/97/30006[Crossref]
• [30] D. Urzagasti, D. Laroze, M.G. Clerc, S. Coulibaly, H. Pleiner, J. Appl. Phys. 111, 07D111 (2012)
• [31] D. Mentrup, J. Schnack, M. Luban, Physica A 272, 153 (1999) http://dx.doi.org/10.1016/S0378-4371(99)00239-3[Crossref]
• [32] D. V. Efremov, R. A. Klemm, Phys. Rev. B 66, 174427 (2002) http://dx.doi.org/10.1103/PhysRevB.66.174427[Crossref]
• [33] M. Ameduri, R. A. Klemm, Phys. Rev. B 66, 224404 (2002) http://dx.doi.org/10.1103/PhysRevB.66.224404[Crossref]
• [34] R. A. Klemm, M. Luban, Phys. Rev. B 64, 104424 (2001) http://dx.doi.org/10.1103/PhysRevB.64.104424[Crossref]
• [35] D. Laroze, P. Vargas, Phys. B 372, 332 (2006) http://dx.doi.org/10.1016/j.physb.2005.10.079[Crossref]
• [36] D. Laroze, P. Vargas, C. Cortes, G. Gutierrez, J. Magn. Magn. Mater. 320, 1440 (2008) http://dx.doi.org/10.1016/j.jmmm.2007.12.010[Crossref]
• [37] A. F. Franco, J. M. Martinez, J. L. Déjardin, H. Kachkachi, Phys. Rev. B 84, 134423 (2011) http://dx.doi.org/10.1103/PhysRevB.84.134423[Crossref]
• [38] J. A. C. Gallas, Phys. Rev. Lett. 70, 2714 (1993) http://dx.doi.org/10.1103/PhysRevLett.70.2714[Crossref]
• [39] J. A. C. Gallas, Physica A 202, 196 (1994) http://dx.doi.org/10.1016/0378-4371(94)90174-0[Crossref]
• [40] B. R. Hunt, J. A. C. Gallas, C. Grebogi, J.A. Yorke, H. Kocak, Physica D 129, 35 (1999) http://dx.doi.org/10.1016/S0167-2789(98)00201-2[Crossref]
• [41] S. Wieczorek, B. Krauskopf, T.B. Simpson, D. Lenstra, Phys. Rep. 416, 1 (2005) http://dx.doi.org/10.1016/j.physrep.2005.06.003[Crossref]
• [42] M. K. Stephen Yeung, S. H. Strogatz, Phys. Rev. E 58, 4421 (1998) http://dx.doi.org/10.1103/PhysRevE.58.4421[Crossref]
• [43] M. K. Stephen Yeung, S. H. Strogatz, Phys. Rev. E 61, 2154 (2000) http://dx.doi.org/10.1103/PhysRevE.61.2154[Crossref]
• [44] M. G. Zimmermann, M. A. Natiello, H. G. Solari, Chaos 11, 500 (2001) http://dx.doi.org/10.1063/1.1397757[Crossref]
• [45] B. Krauskopf, S. Wieczorek, Physica D 173, 97 (2002) http://dx.doi.org/10.1016/S0167-2789(02)00650-4[Crossref]
• [46] J. A. C. Gallas, Int. J. Bif. Chaos 20, 197 (2010), and references therein. http://dx.doi.org/10.1142/S0218127410025636[Crossref]
• [47] C. Bonatto and J. A. C. Gallas, Phys. Rev. Lett. 101, 054101 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.054101[Crossref]
• [48] J. G Freire, J.A.C. Gallas, Phys. Lett. A 375, 1097 (2011) http://dx.doi.org/10.1016/j.physleta.2011.01.017[Crossref]
• [49] D. Laroze, J. Bragard, O. J. Suarez, H. Pleiner, IEEE Trans. Mag. 47, 3032 (2011) http://dx.doi.org/10.1109/TMAG.2011.2158072[Crossref]
• [50] J. Bragard, H. Pleiner, O. J. Suarez, P. Vargas, J. A. C. Gallas, D. Laroze, Phys. Rev. E 84, 037202 (2011) http://dx.doi.org/10.1103/PhysRevE.84.037202[Crossref]
• [51] D. Laroze, D. Becerra-Alonso, J. A. C. Gallas, H. Pleiner, IEEE Trans. Mag. 48, 3567 (2012) http://dx.doi.org/10.1109/TMAG.2012.2207378[Crossref]
• [52] E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)
• [53] M. Filipovic, C. Holmqvist, F. Haupt, W. Belzig, arXiv:1211.3611
• [54] R. C. O’Handley, Modern Magnetic Materials: Principles and Applications (Wiley-Interscience, New York, 1999)
• [55] Y. Nambu, Phys. Rev. D 7, 2405 (1973) http://dx.doi.org/10.1103/PhysRevD.7.2405[Crossref]
• [56] X. Batlle, A. Labarta, J. Phys. D 35, R15 (2002) http://dx.doi.org/10.1088/0022-3727/35/6/201[Crossref]
• [57] P. Landeros, J. Escrig, D. Altbir, D. Laroze, J. d’Albuquerque e Castro, P. Vargas, Phys. Rev. B 65 094435 (2005) http://dx.doi.org/10.1103/PhysRevB.71.094435[Crossref]
• [58] D. V. Efremov, R. A. Klemm Phys. Rev. B 74, 064408 (2006) http://dx.doi.org/10.1103/PhysRevB.74.064408[Crossref]
• [59] J. A. A. J. Perenboom, J. S. Brooks, S. Hill, T. Hathaway, N. S. Dalal, Phys. Rev. B 58, 330 (1998) http://dx.doi.org/10.1103/PhysRevB.58.330[Crossref]
• [60] E. Beaurepaire, J. C. Merle, A. Daunois, J. Y. Bigot, Phys. Rev. Lett. 76, 4250 (1996) http://dx.doi.org/10.1103/PhysRevLett.76.4250[Crossref]
• [61] B. Koopmans, M. van Kampen, J.T. Kohlhepp, W.J.M. de Jonge, Phys. Rev. Lett. 85, 844 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.844[Crossref]
• [62] J. Hohlfeld, E. Matthias, R. Knorren, K.H. Bennemann, Phys. Rev. Lett. 78, 4861 (1997) http://dx.doi.org/10.1103/PhysRevLett.78.4861[Crossref]
• [63] A. Wolf, J. B. Swift, H. L. Swinney, J. A. Vastano, Physica D 16, 285 (1985) http://dx.doi.org/10.1016/0167-2789(85)90011-9[Crossref]
• [64] M. C. Cross, P. C. Hohenberg, Rev. Modern. Phys. 65, 851 (1993) http://dx.doi.org/10.1103/RevModPhys.65.851[Crossref]

Identyfikatory

DOI

10.2478/s11534-013-0280-7