Periodic boundary conditions in micromagnetic modeling

Krzysztof M. Lebecki ,  Jacek Kossut 

Polish Academy of Sciences, Institute of Physics, al. Lotników 32/46, Warszawa 02-668, Poland


Elongated ferromagnetic nanostructures attract much attention due to the recent progress in fabrication of good quality nanowires / nanotubes. These structures offer possible interesting applications as future device components. For instance, using them one could build cylindrical transistors [1], or fast spintronic spin-injection devices [2]. Other structures focusing attention recently are periodic ferromagnetic networks, like the one discussed in Ref. [3]. When simulating all these cases, however, periodic boundary conditions (PBC) are helpful, if they are included in the micromagnetic modeling program. Although one can find commercial simulation packages where PBC is built-in [4, 5], so far it was not present in popular no-cost systems like OOMMF [6] or "magpar" [7].

In our work we concentrated on the OOMMF simulation package. It has been extended by adding a special module, which allows including PBC in exchange and demagnetization interactions. Especially the second case was difficult because of the long-range character of dipole-dipole interactions. We had for instance to control carefully the errors of the demagnetization computations.

In spite of our extensions, the software runs at same speed as without them. Only the initialization step can take longer compared to no-PBC case. We present the structure and schematic idea of our PBC implementation. We also present the results of comparative tests between our PBC simulations and available analytical solutions for the infinite rod.

1. Gargini, P., ISS (Industry Strategy Symposium) US. 2002.
2. Osipov, V.V., et al., Appl. Phys. Lett., 2004. 84(12): p. 2118.
3. Cowburn, R.P., J. Phys. D, 2000. 33(1 ): p. R1.
4. Scheinfein, M.R., LLG micromagnetic SimulatorTM.
5. Berkov, D.V., et al., MicroMagus.
6. Donahue, M.J., et al., Interagency Report NISTIR 1999.
7. Scholz, W., et al., Comp. Mat. Sci., 2003. 28(2): p. 366-83.

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Presentation: Poster at E-MRS Fall Meeting 2006, Symposium E, by Krzysztof M. Lebecki
See On-line Journal of E-MRS Fall Meeting 2006

Submitted: 2006-05-11 08:44
Revised:   2009-06-07 00:44
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