Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Nanoscale Mapping of Ultrafast Magnetization Dynamics with Femtosecond Lorentz Microscopy

Nara Rubiano da Silva1, Marcel Möller1, Armin Feist1, Henning Ulrichs2, Claus Ropers1, and Sascha Schäfer1,*

  • 1University of Göttingen, IV. Physical Institute, Göttingen 37077, Germany
  • 2University of Göttingen, I. Physical Institute, Göttingen 37077, Germany

  • *sascha.schaefer@phys.uni-goettingen.de

Phys. Rev. X 8, 031052 – Published 29 August, 2018

DOI: https://doi.org/10.1103/PhysRevX.8.031052

Abstract

Novel time-resolved imaging techniques for the investigation of ultrafast nanoscale magnetization dynamics are indispensable for further developments in light-controlled magnetism. Here, we introduce femtosecond Lorentz microscopy, achieving a spatial resolution below 100 nm and a temporal resolution of 700 fs, which gives access to the transiently excited state of the spin system on femtosecond timescales and its subsequent relaxation dynamics. We demonstrate the capabilities of this technique by spatiotemporally mapping the light-induced demagnetization of a single magnetic vortex structure and quantitatively extracting the evolution of the magnetization field after optical excitation. Tunable electron imaging conditions allow for an optimization of spatial resolution or field sensitivity, enabling future investigations of ultrafast internal dynamics of magnetic topological defects on a 10 nm length scale.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

Supplemental Material

References (68)

  1. A. Ruotolo, V. Cros, B. Georges, A. Dussaux, J. Grollier, C. Deranlot, R. Guillemet, K. Bouzehouane, S. Fusil, and A. Fert, Phase-Locking of Magnetic Vortices Mediated by Antivortices, Nat. Nanotechnol. 4, 528 (2009).
  2. W. Jiang, P. Upadhyaya, W. Zhang, G. Yu, M. B. Jungfleisch, F. Y. Fradin, J. E. Pearson, Y. Tserkovnyak, K. L. Wang, O. Heinonen, S. G. E. te Velthuis, and A. Hoffmann, Blowing Magnetic Skyrmion Bubbles, Science 349, 283 (2015).
  3. B. Van Waeyenberge, A. Puzic, H. Stoll, K. W. Chou, T. Tyliszczak, R. Hertel, M. Fähnle, H. Brückl, K. Rott, G. Reiss, I. Neudecker, D. Weiss, C. H. Back, and G. Schütz, Magnetic Vortex Core Reversal by Excitation with Short Bursts of an Alternating Field, Nature (London) 444, 461 (2006).
  4. S. D. Pollard, L. Huang, K. S. Buchanan, D. A. Arena, and Y. Zhu, Direct Dynamic Imaging of Non-adiabatic Spin Torque Effects, Nat. Commun. 3, 1028 (2012).
  5. J. Torrejon, M. Riou, F. A. Araujo, S. Tsunegi, G. Khalsa, D. Querlioz, P. Bortolotti, V. Cros, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, M. D. Stiles, and J. Grollier, Neuromorphic Computing with Nanoscale Spintronic Oscillators, Nature (London) 547, 428 (2017).
  6. M. Finazzi, M. Savoini, A. R. Khorsand, A. Tsukamoto, A. Itoh, L. Duò, A. Kirilyuk, Th. Rasing, and M. Ezawa, Laser-Induced Magnetic Nanostructures with Tunable Topological Properties, Phys. Rev. Lett. 110, 177205 (2013).
  7. T. Eggebrecht, M. Möller, J. G. Gatzmann, N. R. da Silva, A. Feist, U. Martens, H. Ulrichs, M. Münzenberg, C. Ropers, and S. Schäfer, Light-Induced Metastable Magnetic Texture Uncovered by In Situ Lorentz Microscopy, Phys. Rev. Lett. 118, 097203 (2017).
  8. X. Fu, S. D. Pollard, B. Chen, B.-K. Yoo, H. Yang, and Y. Zhu, Optical Manipulation of Magnetic Vortices Visualized In Situ by Lorentz Electron Microscopy, Sci. Adv. 4, eaat3077 (2018).
  9. C. von Korff Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation, Phys. Rev. Lett. 112, 217203 (2014).
  10. L. Le Guyader, S. El Moussaoui, M. Buzzi, R. V. Chopdekar, L. J. Heyderman, A. Tsukamoto, A. Itoh, A. Kirilyuk, Th. Rasing, A. V. Kimel, and F. Nolting, Demonstration of Laser Induced Magnetization Reversal in GdFeCo Nanostructures, Appl. Phys. Lett. 101, 022410 (2012).
  11. T.-M. Liu, T. Wang, A. H. Reid, M. Savoini, X. Wu, B. Koene, P. Granitzka, C. E. Graves, D. J. Higley, Z. Chen, G. Razinskas, M. Hantschmann, A. Scherz, J. Stöhr, A. Tsukamoto, B. Hecht, A. V. Kimel, A. Kirilyuk, Th. Rasing, and H. A. Dürr, Nanoscale Confinement of All-Optical Magnetic Switching in TbFeCo—Competition with Nanoscale Heterogeneity, Nano Lett. 15, 6862 (2015).
  12. A. V. Kimel, A. Kirilyuk, P. A. Usachev, R. V. Pisarev, A. M. Balbashov, and Th. Rasing, Ultrafast Non-thermal Control of Magnetization by Instantaneous Photomagnetic Pulses, Nature (London) 435, 655 (2005).
  13. F. Hansteen, A. Kimel, A. Kirilyuk, and Th. Rasing, Femtosecond Photomagnetic Switching of Spins in Ferrimagnetic Garnet Films, Phys. Rev. Lett. 95, 047402 (2005).
  14. B. Koopmans, G. Malinowski, F. Dalla Longa, D. Steiauf, M. Fähnle, T. Roth, M. Cinchetti, and M. Aeschlimann, Explaining the Paradoxical Diversity of Ultrafast Laser-Induced Demagnetization, Nat. Mater. 9, 259 (2010).
  15. M. Battiato, K. Carva, and P. M. Oppeneer, Superdiffusive Spin Transport as a Mechanism of Ultrafast Demagnetization, Phys. Rev. Lett. 105, 027203 (2010).
  16. R. John, M. Berritta, D. Hinzke, C. Müller, T. Santos, H. Ulrichs, P. Nieves, J. Walowski, R. Mondal, O. Chubykalo-Fesenko, J. McCord, P. M. Oppeneer, U. Nowak, and M. Münzenberg, Magnetisation Switching of FePt Nanoparticle Recording Medium by Femtosecond Laser Pulses, Sci. Rep. 7, 4114 (2017).
  17. B. Mozooni, T. von Hofe, and J. McCord, Picosecond Wide-Field Magneto-optical Imaging of Magnetization Dynamics of Amorphous Film Elements, Phys. Rev. B 90, 054410 (2014).
  18. S.-B. Choe, Y. Acremann, A. Scholl, A. Bauer, A. Doran, J. Stöhr, and H. A. Padmore, Vortex Core-Driven Magnetization Dynamics, Science 304, 420 (2004).
  19. A. Bisig, C. A. Akosa, J.-H. Moon, J. Rhensius, C. Moutafis, A. von Bieren, J. Heidler, G. Kiliani, M. Kammerer, M. Curcic, M. Weigand, T. Tyliszczak, B. Van Waeyenberge, H. Stoll, G. Schütz, K.-J. Lee, A. Manchon, and M. Kläui, Enhanced Nonadiabaticity in Vortex Cores due to the Emergent Hall Effect, Phys. Rev. Lett. 117, 277203 (2016).
  20. B. Pfau et al., Ultrafast Optical Demagnetization Manipulates Nanoscale Spin Structure in Domain Walls, Nat. Commun. 3, 1100 (2012).
  21. Felix Büttner, C. Moutafis, M. Schneider, B. Krüger, C. M. Günther, J. Geilhufe, C. v Korff Schmising, J. Mohanty, B. Pfau, S. Schaffert, A. Bisig, M. Foerster, T. Schulz, C. a. F. Vaz, J. H. Franken, H. J. M. Swagten, M. Kläui, and S. Eisebitt, Dynamics and Inertia of Skyrmionic Spin Structures, Nat. Phys. 11, 225 (2015).
  22. O. Kfir, S. Zayko, C. Nolte, M. Sivis, M. Möller, B. Hebler, S. S. P. K. Arekapudi, D. Steil, S. Schäfer, M. Albrecht, O. Cohen, S. Mathias, and C. Ropers, Nanoscale Magnetic Imaging using Circularly Polarized High-Harmonic Radiation, Sci. Adv. 3, eaao4641 (2017).
  23. A. Tonomura, Applications of Electron Holography, Rev. Mod. Phys. 59, 639 (1987).
  24. C. Jin, Z.-A. Li, A. Kovács, J. Caron, F. Zheng, F. N. Rybakov, N. S. Kiselev, H. Du, S. Blügel, M. Tian, Y. Zhang, M. Farle, and R. E. Dunin-Borkowski, Control of Morphology and Formation of Highly Geometrically Confined Magnetic Skyrmions, Nat. Commun. 8, 15569 (2017).
  25. J. N. Chapman, The Investigation of Magnetic Domain Structures in Thin Foils by Electron Microscopy, J. Phys. D 17, 623 (1984).
  26. X. Z. Yu, Y. Onose, N. Kanazawa, J. H. Park, J. H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Real-Space Observation of a Two-Dimensional Skyrmion Crystal, Nature (London) 465, 901 (2010).
  27. K. Koike, Spin-Polarized Scanning Electron Microscopy, Microscopy 62, 177 (2013).
  28. T. Matsuda, A. Fukuhara, T. Yoshida, S. Hasegawa, A. Tonomura, and Q. Ru, Computer Reconstruction from Electron Holograms and Observation of Fluxon Dynamics, Phys. Rev. Lett. 66, 457 (1991).
  29. T. Matsuda, K. Harada, H. Kasai, O. Kamimura, and A. Tonomura, Observation of Dynamic Interaction of Vortices with Pinning Centers by Lorentz Microscopy, Science 271, 1393 (1996).
  30. I. S. Weir, J. N. Chapman, I. S. Molchanov, D. M. Titterington, and J. Rose, Observation and Modelling of Magnetization Reversal in Multilayers Supporting Perpendicular Magnetization, J. Phys. D 32, 395 (1999).
  31. S. Pöllath, J. Wild, L. Heinen, T. N. G. Meier, M. Kronseder, L. Tutsch, A. Bauer, H. Berger, C. Pfleiderer, J. Zweck, A. Rosch, and C. H. Back, Dynamical Defects in Rotating Magnetic Skyrmion Lattices, Phys. Rev. Lett. 118, 207205 (2017).
  32. M. Mochizuki, X. Z. Yu, S. Seki, N. Kanazawa, W. Koshibae, J. Zang, M. Mostovoy, Y. Tokura, and N. Nagaosa, Thermally Driven Ratchet Motion of a Skyrmion Microcrystal and Topological Magnon Hall Effect, Nat. Mater. 13, 241 (2014).
  33. J. Rajeswari, P. Huang, G. F. Mancini, Y. Murooka, T. Latychevskaia, D. McGrouther, M. Cantoni, E. Baldini, J. S. White, A. Magrez, T. Giamarchi, H. M. Rønnow, and F. Carbone, Filming the Formation and Fluctuation of Skyrmion Domains by Cryo-Lorentz Transmission Electron Microscopy, Proc. Natl. Acad. Sci. U.S.A. 112, 14212 (2015).
  34. R. Frömter, F. Kloodt, S. Rößler, A. Frauen, P. Staeck, D. R. Cavicchia, L. Bocklage, V. Röbisch, E. Quandt, and H. P. Oepen, Time-Resolved Scanning Electron Microscopy with Polarization Analysis, Appl. Phys. Lett. 108, 142401 (2016).
  35. O. Bostanjoglo and Th. Rosin, Resonance Oscillations of Magnetic Domain Walls and Bloch Lines Observed by Stroboscopic Electron Microscopy, Phys. Status Solidi A 57, 561 (1980).
  36. H. S. Park, J. S. Baskin, and A. H. Zewail, 4D Lorentz Electron Microscopy Imaging: Magnetic Domain Wall Nucleation, Reversal, and Wave Velocity, Nano Lett. 10, 3796 (2010).
  37. K. B. Schliep, P. Quarterman, J.-P. Wang, and D. J. Flannigan, Picosecond Fresnel Transmission Electron Microscopy, Appl. Phys. Lett. 110, 222404 (2017).
  38. M. Aeschlimann, C. A. Schmuttenmaer, H. E. Elsayed-Ali, R. J. D. Miller, J. Cao, Y. Gao, and D. A. Mantell, Observation of Surface Enhanced Multiphoton Photoemission from Metal Surfaces in the Short Pulse Limit, J. Chem. Phys. 102, 8606 (1995).
  39. H. Dömer and O. Bostanjoglo, High-Speed Transmission Electron Microscope, Rev. Sci. Instrum. 74, 4369 (2003).
  40. A. H. Zewail, Four-Dimensional Electron Microscopy, Science 328, 187 (2010).
  41. R. J. Dwayne Miller, Femtosecond Crystallography with Ultrabright Electrons and X-rays: Capturing Chemistry in Action, Science 343, 1108 (2014).
  42. G. Berruto, I. Madan, Y. Murooka, G. M. Vanacore, E. Pomarico, J. Rajeswari, R. Lamb, P. Huang, A. J. Kruchkov, Y. Togawa, T. LaGrange, D. McGrouther, H. M. Rønnow, and F. Carbone, Laser-Induced Skyrmion Writing and Erasing in an Ultrafast Cryo-Lorentz Transmission Electron Microscope, Phys. Rev. Lett. 120, 117201 (2018).
  43. P. Hommelhoff, Y. Sortais, A. Aghajani-Talesh, and M. A. Kasevich, Field Emission Tip as a Nanometer Source of Free Electron Femtosecond Pulses, Phys. Rev. Lett. 96, 077401 (2006).
  44. C. Ropers, D. R. Solli, C. P. Schulz, C. Lienau, and T. Elsaesser, Localized Multiphoton Emission of Femtosecond Electron Pulses from Metal Nanotips, Phys. Rev. Lett. 98, 043907 (2007).
  45. A. Feist, N. Bach, N. R. da Silva, T. Danz, M. Möller, K. E. Priebe, T. Domröse, J. G. Gatzmann, S. Rost, J. Schauss, S. Strauch, R. Bormann, M. Sivis, S. Schäfer, and C. Ropers, Ultrafast Transmission Electron Microscopy Using a Laser-Driven Field Emitter: Femtosecond Resolution with a High Coherence Electron Beam, Ultramicroscopy 176, 63 (2017).
  46. A. Hubert and R. Schäfer, Magnetic Domains—The Analysis of Magnetic Microstructures (Springer, Heidelberg, 2000).
  47. T. Shinjo, T. Okuno, R. Hassdorf, K. Shigeto, and T. Ono, Magnetic Vortex Core Observation in Circular Dots of Permalloy, Science 289, 930 (2000).
  48. J. Raabe, R. Pulwey, R. Sattler, T. Schweinböck, J. Zweck, and D. Weiss, Magnetization Pattern of Ferromagnetic Nanodisks, J. Appl. Phys. 88, 4437 (2000).
  49. N. A. Usov and S. E. Peschany, Magnetization Curling in a Fine Cylindrical Particle, J. Magn. Magn. Mater. 118, L290 (1993).
  50. M. De Graef, Introduction to Conventional Transmission Electron Microscopy (Cambridge University Press, Cambridge, 2003).
  51. Y. Aharonov and D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory, Phys. Rev. 115, 485 (1959).
  52. M. De Graef and Y. Zhu, Magnetic Imaging and Its Applications to Materials (Academic Press, New York, 2000).
  53. V. V. Volkov, Y. Zhu, and M. De Graef, A New Symmetrized Solution for Phase Retrieval Using the Transport of Intensity Equation, Micron 33, 411 (2002).
  54. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.8.031052 for movies of ultrafast demagnetization in a single vortex structure, extended experimental details, information on data acquisition and analysis, details on the implementation of Lorentz image simulation and micromagnetic simulations, and discussion on the dependence of image contrast on spin temperature and eletron-probe pulse duration.
  55. A. Feist, K. E. Echternkamp, J. Schauss, S. V. Yalunin, S. Schäfer, and C. Ropers, Quantum Coherent Optical Phase Modulation in an Ultrafast Transmission Electron Microscope, Nature (London) 521, 200 (2015).
  56. A. Feist, N. R. da Silva, W. Liang, C. Ropers, and S. Schäfer, Nanoscale Diffractive Probing of Strain Dynamics in Ultrafast Transmission Electron Microscopy, Struct. Dyn. 5, 014302 (2018).
  57. E. Beaurepaire, J.-C. Merle, A. Daunois, and J.-Y. Bigot, Ultrafast Spin Dynamics in Ferromagnetic Nickel, Phys. Rev. Lett. 76, 4250 (1996).
  58. S. Mathias, C. La-O-Vorakiat, P. Grychtol, P. Granitzka, E. Turgut, J. M. Shaw, R. Adam, H. T. Nembach, M. E. Siemens, S. Eich, C. M. Schneider, T. J. Silva, M. Aeschlimann, M. M. Murnane, and H. C. Kapteyn, Probing the Timescale of the Exchange Interaction in a Ferromagnetic Alloy, Proc. Natl. Acad. Sci. U.S.A. 109, 4792 (2012).
  59. J. Walowski, G. Müller, M. Djordjevic, M. Münzenberg, M. Kläui, C. A. F. Vaz, and J. A. C. Bland, Energy Equilibration Processes of Electrons, Magnons, and Phonons at the Femtosecond Time Scale, Phys. Rev. Lett. 101, 237401 (2008).
  60. Generally, the magnetic configuration is expected to respond to an increased spin temperature in a complex manner due to changes, for example, in the average dipolar and exchange interactions. For the present case, we performed micromagnetic simulations which suggest that only changes in the saturation magnetization need to be considered on ultrashort time scales (see Supplemental Material [54]).

  61. Charles Kittel, Introduction to Solid State Physics 8th ed. (John Wiley & Sons, New York, 2004).
  62. T. van Oudheusden, P. L. E. M. Pasmans, S. B. van der Geer, M. J. de Loos, M. J. van der Wiel, and O. J. Luiten, Compression of Subrelativistic Space-Charge-Dominated Electron Bunches for Single-Shot Femtosecond Electron Diffraction, Phys. Rev. Lett. 105, 264801 (2010).
  63. R. P. Chatelain, V. R. Morrison, C. Godbout, and B. J. Siwick, Ultrafast Electron Diffraction with Radio-Frequency Compressed Electron Pulses, Appl. Phys. Lett. 101, 081901 (2012).
  64. J. Maxson, D. Cesar, G. Calmasini, A. Ody, P. Musumeci, and D. Alesini, Direct Measurement of Sub-10 fs Relativistic Electron Beams with Ultralow Emittance, Phys. Rev. Lett. 118, 154802 (2017).
  65. C. Kealhofer, W. Schneider, D. Ehberger, A. Ryabov, F. Krausz, and P. Baum, All-Optical Control and Metrology of Electron Pulses, Science 352, 429 (2016).
  66. L. Wimmer, G. Herink, D. R. Solli, S. V. Yalunin, K. E. Echternkamp, and C. Ropers, Terahertz Control of Nanotip Photoemission, Nat. Phys. 10, 432 (2014).
  67. K. E. Priebe, C. Rathje, S. V. Yalunin, T. Hohage, A. Feist, S. Schäfer, and C. Ropers, Attosecond Electron Pulse Trains and Quantum State Reconstruction in Ultrafast Transmission Electron Microscopy, Nat. Photonics 11, 793 (2017).
  68. Y. Morimoto and P. Baum, Attosecond Control of Electron Beams at Dielectric and Absorbing Membranes, Phys. Rev. A 97, 033815 (2018).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation