Low-Field Magnetic Domain Wall Motion and Mobility in CoFeB Nanostripes Influenced by The Dzyaloshinskii-Moriya Interaction

Authors

  • Raditya Nugraha Department of Physics, FMIPA Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia
  • Candra Kurniawan Research Center for Energy Materials, National Research and Innovation Agency (BRIN), KST B.J. Habibie, Tangerang Selatan, 15314, Indonesia
  • Adam Badra Cahaya Department of Physics, FMIPA Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia
  • Dwiria Wahyuni Department of Physics, FMIPA Universitas Tanjungpura, Pontianak 78124
  • Dede Djuhana Department of Physics, FMIPA Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia

DOI:

https://doi.org/10.5614/j.math.fund.sci.2026.58.1.3

Keywords:

CoFeB, DMI, magnetic domain wall, micromagnetics, perpendicular magnetic anisotropy

Abstract

This work examines the effects of the Dzyaloshinskii?Moriya interaction (DMI) on low-field magnetic domain wall (DW) dynamics in perpendicular anisotropy CoFeB nanostripes driven by nanosecond magnetic field pulses. Micromagnetic simulations based on the Landau?Lifshitz equation were performed for DMI strengths from 0 to 1 mJ m? and pulse amplitudes of 0.1 to 1 mT, which are commonly regarded to be within the creep regime. The results show that DMI significantly enhances DW displacement and velocity, with a velocity enhancement of up to approximately eight times higher than in the absence of DMI, primarily due to the emergence of a chiral Nl wall configuration and an effective DMI field that increases DW mobility. However, this enhancement does not scale linearly with DMI strength. Instead, both velocity and displacement exhibit a clear saturation behavior beyond intermediate DMI values (~0.6 mJ m?). Mobility analysis, obtained by fitting simulation results to an analytical DW velocity model, indicates an increase of up to two orders of magnitude with DMI, followed by a similar plateau. These findings highlight a limit to DMI-induced enhancement in the low-field regime, with implications for optimizing DW-based spintronic devices.

References

Hirohata, A., Sukegawa, H., Yanagihara, H., Zutic, I., Seki, T., Mizukami, S. & Swaminathan, R., Roadmap for Emerging Materials for Spintronic Device Applications, IEEE Transactions on Magnetics, 51(10), 2015. https://doi.org/10.1109/TMAG.2015.2457393.

Parkin, S., Racetrack Memory: A High Capacity, High Performance, Non-volatile Spintronic Memory, 2022 IEEE International Memory Workshop (IMW), pp. 6-9, 2022. https://doi.org/10.1109/IMW52921.2022.9779286.

Raymenants, E., Bultynck, O., Wan, D., Devolder, T., Garello, K., Souriau, L., Thiam, A., Tsvetanova, D., Canvel, Y., Nikonov, D.E., Young, I.A., Heyns, M., Soree, B., Asselberghs, I., Radu, I., Couet, S. & Nguyen, V.D., Nanoscale Domain Wall Devices with Magnetic Tunnel Junction Read and Write, Nature Electronics 4(6), pp. 392-398, 2021. https://doi.org/10.1038/s41928-021-00593-x.

Iwata-Harms, J.M., Jan, G., Serrano-Guisan, S., Thomas, L., Liu, H. Zhu, J., Lee, Y.J., Le, S., Tong, R.Y., Patel, S., Sundar, V., Shen, D., Yang, Y., He, R., Haq, J., Teng, Z., Lam, V., Liu, P., Wang, Y.J., Zhong, T., Fukuzawa, H. & Wang, P.K., Ultrathin Perpendicular Magnetic Anisotropy CoFeB Free Layers for Highly Efficient, High Speed Writing In Spin-transfer-torque Magnetic Random Access Memory, Scientific Reports, 9(1), 19407, 2019. https://doi.org/10.1038/s41598-019-54466-7.

Raymenants, E., Wan, D., Couet, S., Canvel, Y., Thiam, A., Tsvetanova, D., Souriau, L., Asselberghs, I., Carpenter, R., Jossart, N., Manfrini, M., Vaysset, A., Bultynck, O., Van Beek, S., Heyns, M., Nikonov, D.E., Young, I.A., Ghosh, S., Vila, L., Garello, K., Pizzini, S., Nguyen, V.D. & Radu, I.P., Magnetic Domain Walls: From Physics to Devices, 2021 IEEE International Electron Devices Meeting (IEDM), pp. 32.3.1-32.3.4, 2021. https://doi.org/10.1109/IEDM19574.2021.9720689.

Fukami, S., Suzuki, T., Ohshima, N., Nagahara, K. & Ishiwata, N., Micromagnetic Analysis of Current Driven Domain Wall Motion in Nanostrips with Perpendicular Magnetic Anisotropy, Journal of Applied Physics, 103(7), 2008. https://doi.org/10.1063/1.2830964.

Dejong, M.D. & Livesey, K.L., Analytic Theory for The Switch from Bloch to Nl Domain Wall in Nanowires with Perpendicular Anisotropy, Physical Review B, 92(21), 214420, 2015. https://doi.org/10.1103/PhysRevB.92.214420.

Albert, M., Franchin, M., Fischbacher, T., Meier, G. & Fangohr, H., Domain Wall Motion in Perpendicular Anisotropy Nanowires with Edge Roughness, Journal of Physics: Condensed Matter, 24(2), 024219, 2012. https://doi.org/10.1088/0953-8984/24/2/024219.

Herranen, T. & Laurson, L., Bloch-line Dynamics within Moving Domain Walls in 3D Ferromagnets, Physical Review B, 96(14), 144422, 2017. https://doi.org/10.1103/PhysRevB.96.144422.

Yang, S.H., Ryu, K.S. & Parkin, S., Domain-wall Velocities of Up to 750 m s-1 Driven by Exchange-coupling Torque in Synthetic Antiferromagnets, Nature Nanotechnology, 10(3), pp. 221-226, 2015. https://doi.org/10.1038/nnano.2014.324.

Dzyaloshinskii, I., A Thermodynamic Theory of ?Weak? Ferromagnetism of Antiferromagnet, Journal of Physics and Chemistry of Solids, 4(4), pp. 241-255, 1958. https://doi.org/10.1002/pssb.2220460236.

Moriya, T., Anisotropic Superexchange Interaction and Weak Ferromagnetism, Physical Review, 120(1), pp. 91-98, 1960. https://doi.org/10.1103/PhysRev.120.91.

Fert, A., Grberg, P., Barthy, A., Petroff, F. & Zinn, W., Layered Magnetic Structures: Interlayer Exchange Coupling and Giant Magnetoresistance, Journal of Magnetism and Magnetic Materials, 140, pp. 1-8, 1995. https://doi.org/10.1016/0304-8853(94)00880-9.

Thiaville, A., Rohart, S., Ju , Cros, V. & Fert, A., Dynamics of Dzyaloshinskii Domain Walls in Ultrathin Magnetic Films, Europhysics Letters, 100(5), 57002, 2012. https://doi.org/10.1209/0295-5075/100/57002.

Yoshimura, Y., Kim, K.J., Taniguchi, T., Tono, T., Ueda, K., Hiramatsu, R., Moriyama, T., Yamada, K., Nakatani, Y. & Ono, T., Soliton-like Magnetic Domain Wall Motion Induced by the Interfacial Dzyaloshinskii-Moriya Interaction, Nature Physics, 12(2), pp. 157-161, 2016. https://doi.org/10.1038/nphys3535.

Mlbauer, S., Binz, B., Jonietz, F., Pfleiderer, C., Rosch, A., Neubauer, A., Georgii, R. & Bi, P., Skyrmion Lattice in A Chiral Magnet, Science, 323(5916), pp. 915-919, 2009. DOI: 10.1126/science.1166767

Chen, G., Zhu, J., Quesada, A., Li, J., N?Diaye, A.T., Huo, Y., Ma, T.P., Chen, Y., Kwon, H.Y., Won, C., Qiu, Z.Q., Schmid, A.K. & Wu, Y.Z., Novel Chiral Magnetic Domain Wall Structure in Fe/Ni/Cu(001) Films, Physical Review Letters, 110(17), 177204, 2013. https://doi.org/10.1103/PhysRevLett.110.177204.

Kim, D.H., Kim, D.Y., Yoo, S.C., Min, B.C. & Choe, S.B., Universality of Dzyaloshinskii-Moriya Interaction Effect Over Domain-wall Creep and Flow Regimes, Physical Review B, 99(13), 134401, 2019. https://doi.org/10.1103/PhysRevB.99.134401.

Kuepferling, M., Casiraghi, A., Soares, G., Durin, G., Garcia-Sanchez, F., Chen, L., Back, C.H., Marrows, C.H., Tacchi, S. & Carlotti, G., Measuring Interfacial Dzyaloshinskii-Moriya Interaction in Ultrathin Magnetic Films, Reviews of Modern Physics, 95(1), 015003, 2023 https://doi.org/10.1103/RevModPhys.95.015003.

Sun, Z.Z., & Schliemann, J., Fast Domain Wall Propagation Under An Optimal Field Pulse in Magnetic Nanowires, Physical Review Letters, 104(3), 037206, 2010. https://doi.org/10.1103/PhysRevLett.104.037206.

Kurniawan, C., Djuhana, D., Soegijono, B. & Kim, D.H., Micromagnetic Investigation of the Sub-nanosecond Magnetic Pulse Driven Domain Wall Motion in CoFeB Nanowire, Current Applied Physics, 27, pp. 98-102, 2021. https://doi.org/10.1016/j.cap.2021.04.017.

Wang, Y., Wei, D., Gao, K.Z., Cao, J. & Wei, F., The Role of Inhomogeneity of Perpendicular Anisotropy in Magnetic Properties of Ultra Thin CoFeB Film, Journal of Applied Physics, 115(5), 053901, 2014. https://doi.org/10.1063/1.4863139.

Dohi, T., DuttaGupta, S., Fukami, S. & Ohno, H., Reversal of Domain Wall Chirality with Ferromagnet Thickness in W/(Co) FeB/MgO Systems, Applied Physics Letters, 114(4), 042405, 2019. https://pubs.aip.org/aip/apl/article/114/4/042405/1022895.

Diez, L.H., Voto, M., Casiraghi, A., Belmeguenai, M., Roussign Y., Durin, G., Lamperti, A., Mantovan, R., Sluka, V., Jeudy, V., Liu, Y.T., Stashkevich, A., Chif, S.M., Langer, J., Ocker, B., Lopez-Diaz, L. & Ravelosona, D., Enhancement of the Dzyaloshinskii-Moriya Interaction and Domain Wall Velocity through Interface Intermixing in Ta/CoFeB/MgO, Physical Review B, 99(5), 054431, 2019. https://doi.org/10.1103/PhysRevB.99.054431.

Zhao, X., Zhang, B., Vernier, N., Zhang, X., Sall, M., Xing, T., Diez, L.H., Hepburn, C., Wang, L., Durin, G., Casiraghi, A., Belmeguenai, M., Roussign Y., Stashkevich, A., Chif, S.M., Langer, J., Ocker, B., Jaiswal, S., Jakob, G., Kli, M., Zhao, W. & Ravelosona, D., Enhancing Domain Wall Velocity through Interface Intermixing in W-CoFeB-MgO Films with Perpendicular Anisotropy, Applied Physics Letters, 115(12), 122404, 2019. https://doi.org/10.1063/1.5121357.

Soucaille, R., Belmeguenai, M., Torrejon, J., Kim, J. V., Devolder, T., Roussign Y., Chif, S.M., Stashkevich, A.A., Hayashi, M. & Adam, J.P., Probing the Dzyaloshinskii-Moriya Interaction in CoFeB Ultrathin Films Using Domain Wall Creep and Brillouin Light Spectroscopy, Physical Review B, 94(10), 104431, 2016. https://doi.org/10.1103/PhysRevB.94.104431.

Agrawal, P., Btner, F., Lemesh, I., Schlotter, S. & Beach, G.S.D., Measurement of Interfacial Dzyaloshinskii-Moriya Interaction from Static Domain Imaging, Physical Review B, 100(10), 104430, 2019. https://doi.org/10.1103/PhysRevB.100.104430.

Donahue, M., & Porter, D., OOMMF User?s Guide, Version 1.0, Interagency Technical Report NISTIR 6376, National Institute of Standards and Technology, Gaithersburg, MD, 1999.

Rohart, S. & Thiaville, A., Skyrmion Confinement in Ultrathin Film Nanostructures in the Presence of Dzyaloshinskii-Moriya Interaction, Physical Review B, 88(18), 184422, 2013. https://doi.org/10.1103/PhysRevB.88.184422.

Ryu, K.S., Thomas, L., Yang, S.H. & Parkin, S., Chiral Spin Torque at Magnetic Domain Walls, Nature Nanotechnology, 8(7), pp. 527-533, 2013. https://doi.org/10.1038/nnano.2013.102.

Camley, R.E., & Livesey, K.L., Consequences of the Dzyaloshinskii-Moriya Interaction, Surface Science Reports, 78(3), pp. 100605, 2023. https://doi.org/10.1016/j.surfrep.2023.100605.

Torrejon, J., Martinez, E. & Hayashi, M., Tunable Inertia of Chiral Magnetic Domain Walls, Nature Communications, 7(1), 13533, 2016. https://doi.org/10.1038/ncomms13533.

Nugraha, R., Kurniawan, C., Kim, D. & Djuhana, D., The Influence of Dzyaloshinskii-Moriya Interaction ( DMI ) on the Nanosecond Pulse-driven Domain Wall Dynamics on CoFeB Nanostripe, Physica Scripta 100(9), 095931, 2025. https://doi.org/10.1088/1402-4896/ae012e.

Cullity, B.D. & Graham, C.D., Introduction to Magnetic Materials, John Wiley & Sons, Inc., 2009. https://doi.org/10.1021/cr2001349.

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Published

2026-10-27

How to Cite

Nugraha, R., Kurniawan, C., Cahaya, A. B. ., Wahyuni, D. ., & Djuhana, D. (2026). Low-Field Magnetic Domain Wall Motion and Mobility in CoFeB Nanostripes Influenced by The Dzyaloshinskii-Moriya Interaction. Journal of Mathematical and Fundamental Sciences, 58(1), 32-43. https://doi.org/10.5614/j.math.fund.sci.2026.58.1.3