WJCMP  Vol.3 No.3 , August 2013
Chaos Appearance during Domain Wall Motion under Electronic Transfer in Nanomagnets
Abstract: In this paper, we study the likelihood of chaos appearance during domain wall motion induced by electronic transfer. Considering a time-varying current density theory, we proceed to a numerical investigation of the dynamics. Using the dissipation parameter, amplitude and frequency of current density as control parameters; we show how periodic regime as well as chaotic regime can be exhibited in nanomagnetic systems. Numerical results allow setting up the periodicity and quasi-periodicity of system and chaotic phenomena occurring during magnetization switching process in nanomagnet through electronic transfer.
Cite this paper: D. Hermann and J. Nguenang, "Chaos Appearance during Domain Wall Motion under Electronic Transfer in Nanomagnets," World Journal of Condensed Matter Physics, Vol. 3 No. 3, 2013, pp. 136-143. doi: 10.4236/wjcmp.2013.33022.

[1]   L. Berger, “Low-Field Magnetoresistance and Domain Drag in Ferromagnets,” Journal of Applied Physics, Vol. 49, No. 3, 1978, pp. 2156-2161. doi:10.1063/1.324716

[2]   L. Berger, “Exchange Interaction between Ferromagnetic Domain Wall and Electric Current in Very Thin Metallic Films,” Journal of Applied Physics, Vol. 55, No. 6, 1954.

[3]   J. C. Slonczewski, “Excitation of Spin Waves by an Electric Current,” Journal of Magnetism and Magnetic Materials, Vol. 195, No. 2, 1999, pp. L261-L268. doi:10.1016/S0304-8853(99)00043-8

[4]   G. Tatara and H. Kohno, “Theory of Current-Driven Domain Wall Motion: Spin Transfer Versus Momentum Transfer,” Physical Review Letters, Vol. 92, No. 8, 2004, Article ID: 086601. doi:10.1103/PhysRevLett.92.086601

[5]   S. E. Barnes and S. Maekawa, “Current-Spin Coupling for Ferromagnetic Domain Walls in Fine Wires,” Physical Review Letters, Vol. 95, No. 10, 2005, Article ID: 107204. doi:10.1103/PhysRevLett.95.107204

[6]   A. Yamaguchi, T. Ono and S. Nasu, “Real-Space Observation of Current-Driven Domain Wall Motion in Submicron Magnetic Wires,” Physical Review Letters, Vol. 92, No. 7, 2004, Article ID: 077205. doi:10.1103/PhysRevLett.92.077205

[7]   N. Vernier, D. A. Allwood, D. Atkinson, M. D. Cooke and R. P. Cowburn, “Domain Wall Propagation in Magnetic Nanowires by Spin-Polarized Current Injection,” Europhysics Letters, Vol. 65, No. 4, 2004, pp. 526-532. doi:10.1209/epl/i2003-10112-5

[8]   D. Bouzidi and H. Suhl, “Motion of a Bloch Domain Wall,” Physical Review Letters, Vol. 65, No. 20, 1990, pp. 2587-2590. doi:10.1103/PhysRevLett.65.2587

[9]   K. N. Aleskseev, G. P. Berman, V. I. Tsifrinovich and A. M. frishman, “Dynamical Chaos in Magnetic Systems,” Soviet Physics Uspekhi, Vol. 35, No. 7, 1992.

[10]   E. Saitoh, H. Miyajima, T. Yamaoka, and G. Tatara, “Current-Induced Resonance and Mass Determination of a Single Magnetic Domain Wall,” Nature, Vol. 432, No. 7014, 2004, pp. 203-206. doi:10.1038/nature03009

[11]   G. Tatara and H. Kohno, “Microscopic Theory of Current-Driven Domain Wall Motion,” Journal of Electron Microscopy, Vol. 54, No. 1, 2005, pp. i69-i74. doi:10.1093/jmicro/54.suppl_1.i69

[12]   G. Tatara, E. Saitoh, M. Saitoh, M. Ichimura and H. Kohno, “Domain-Wall Displacement Triggered by an ac Current Below Threshold,” Applied Physics Letters, Vol. 86, No. 23, 2005, Article ID: 232504. doi:10.1063/1.1944902

[13]   E. Martinez, et al., “Resonant Domain Wall Depinning Induced by Oscillating Spin-Polarized Currents in Thin Ferromagnetic Strips,” Physical Review B, Vol. 77, No. 14, 2008, Article ID: 144417. doi:10.1103/PhysRevB.77.144417

[14]   L. Thomas, M. Hayashi, X. Jiang, R. Moriya, C. Rettner and S. S. P. Parkin, “Resonant Amplification of Magnetic Domain-Wall Motion by a Train of Current Pulses,” Science, Vol. 315, No. 5818, 2007, pp. 1553-1556. doi:10.1126/science.1137662

[15]   G. Tatara, H. Kohno, J. Shibata, “Recent Developments in Theory of Current-Induced Domain Wall Dynamics,” Physics Reports, Vol. 468, 2008.

[16]   G. Tatara, T. Takayama, H. Kohno, J. Shibata, Y. Nakatani and H. Fukuyama, “Threshold Current of Domain Wall Motion under Extrinsic Pinning, β-Term and NonAdiabaticity,” Journal of the Physical Society of Japan, Vol. 75, 2006, Article ID: 064708. doi:10.1143/JPSJ.75.064708

[17]   H. B. Braun and D. Loss, “Berry’s Phase and Quantum Dynamics of Ferromagnetic Solitons,” Physical Review B, Vol. 53, No. 6, 1996, pp. 3237-3255. doi:10.1103/PhysRevB.53.3237

[18]   S. Takagi and G. Tatara, “Macroscopic Quantum Coherence of Chirality of a Domain Wall in Ferromagnets,” Physical Review B, Vol. 54. No. 14, 1995, pp. 9920-9923. doi:10.1103/PhysRevB.54.9920

[19]   H. Okuno, Y. Sugitani and K. Hirata. “Bifurcation Diagram and Power Spectrum of Chaotic Domain-Wall Motion,” Journal of Magnetism and Magnetic Materials, Vol. 140-144, 1995, pp. 1879-1880. doi:10.1016/0304-8853(94)00927-9

[20]   R. A. Kosinski and A. Sukiennicki. “Chaotic Motion of a Domain Wall in the Time Dependent Drive Fields,” Journal of Magnetism and Magnetic Materials, Vol. 104-107, 1992, pp. 331-332. doi:10.1016/0304-8853(92)90820-E

[21]   V. S. Gornakov, V. I. Nikitenko, I. A. Prudnikov and V. T. Synogach, “Elementary Excitations and Nonlinear Dynamics of a Magnetic Domain Wall,” Physical Review B, Vol. 46, No. 17, 1992, pp. 10829-10835. doi:10.1103/PhysRevB.46.10829