Fert, A. et al. Electrical control of magnetism by electric field and current-induced torques. Rev. Mod. Phys. 96, 015005 (2024).
Shinjo, T. et al. Magnetic vortex core observation in circular dots of permalloy. Science 289, 930–932 (2000).
Wachowiak, A. et al. Direct observation of internal spin structure of magnetic vortex cores. Science 298, 577–580 (2002).
Pribiag, V. S. et al. Magnetic vortex oscillator driven by d.c. spin-polarized current. Nat. Phys. 3, 498–503 (2007).
Yamada, K. et al. Electrical switching of the vortex core in a magnetic disk. Nat. Mater. 6, 270–273 (2007).
Uhlíř, V. et al. Dynamic switching of the spin circulation in tapered magnetic nanodisks. Nat. Nanotechnol. 8, 341–346 (2013).
Van Waeyenberge, B. et al. Magnetic vortex core reversal by excitation with short bursts of an alternating field. Nature 444, 461–464 (2006).
Pigeau, B. et al. Optimal control of vortex-core polarity by resonant microwave pulses. Nat. Phys. 7, 26–31 (2011).
Yu, X. et al. Magnetic stripes and skyrmions with helicity reversals. Proc. Natl Acad. Sci. USA 109, 8856–8860 (2012).
Tang, J. et al. Magnetic skyrmion bundles and their current-driven dynamics. Nat. Nanotechnol. 16, 1086–1091 (2021).
Wild, J. et al. Entropy-limited topological protection of skyrmions. Sci. Adv. 3, e1701704 (2017).
Suess, D. et al. Topologically protected vortex structures for low-noise magnetic sensors with high linear range. Nat. Electron. 1, 362–370 (2018).
Bohlens, S. et al. Current controlled random-access memory based on magnetic vortex handedness. Appl. Phys. Lett. 93, 142508 (2008).
Wang, Y. et al. Electric-field-driven non-volatile multi-state switching of individual skyrmions in a multiferroic heterostructure. Nat. Commun. 11, 3577 (2020).
Zheng, F. et al. Hopfion rings in a cubic chiral magnet. Nature 623, 718–723 (2023).
Hu, C. et al. Auto-oscillations for the coupling between breathing mode and chiral switching in magnetic skyrmions. J. Phys. D 54, 015005 (2021).
Li, S. et al. Experimental demonstration of skyrmionic magnetic tunnel junction at room temperature. Sci. Bull. 67, 691–699 (2022).
Chen, S. et al. All-electrical skyrmionic magnetic tunnel junction. Nature 627, 522–527 (2024).
Geng, L. D. & Jin, Y. M. Magnetic vortex racetrack memory. J. Magn. Magn. Mater. 423, 84–89 (2017).
Koraltan, S. et al. Generation and annihilation of skyrmions and antiskyrmions in magnetic heterostructures. Phys. Rev. B 108, 134401 (2023).
Song, K. M. et al. Skyrmion-based artificial synapses for neuromorphic computing. Nat. Electron. 3, 148–155 (2020).
Yokouchi, T. et al. Pattern recognition with neuromorphic computing using magnetic field–induced dynamics of skyrmions. Sci. Adv. 8, eabq5652 (2022).
Puttock, R. et al. Stochastic hexagonal injectors in artificial spin ice. Commun. Mater. 5, 207 (2024).
Borders, W. A. et al. Integer factorization using stochastic magnetic tunnel junctions. Nature 573, 390–393 (2019).
Psaroudaki, C. & Panagopoulos, C. Skyrmion qubits: a new class of quantum logic elements based on nanoscale magnetization. Phys. Rev. Lett. 127, 067201 (2021).
Xia, J. et al. Universal quantum computation based on nanoscale skyrmion helicity qubits in frustrated magnets. Phys. Rev. Lett. 130, 106701 (2023).
Lim, W. L. et al. Fast chirality reversal of the magnetic vortex by electric current. Appl. Phys. Lett. 105, 222405 (2014).
Yakata, S. et al. Chirality control of magnetic vortex in a square Py dot using current-induced Oersted field. Appl. Phys. Lett. 99, 242507 (2011).
Jaafar, M. et al. Control of the chirality and polarity of magnetic vortices in triangular nanodots. Phys. Rev. B 81, 054439 (2010).
Gaididei, Y., Sheka, D. D. & Mertens, F. G. Controllable switching of vortex chirality in magnetic nanodisks by a field pulse. Appl. Phys. Lett. 92, 012503 (2008).
Antos, R. & Otani, Y. Simulations of the dynamic switching of vortex chirality in magnetic nanodisks by a uniform field pulse. Phys. Rev. B 80, 140404 (2009).
Konoto, M. et al. Formation and control of magnetic vortex chirality in patterned micromagnet arrays. J. Appl. Phys. 103, 023904 (2008).
Xie, K. et al. Determination of magnetic vortex chirality by local field excited gyration. Appl. Phys. Lett. 105, 102402 (2014).
Yao, X., Chen, J. & Dong, S. Controlling the helicity of magnetic skyrmions by electrical field in frustrated magnets. New J. Phys. 22, 083032 (2020).
Zhang, Y. et al. Deterministic reversal of single magnetic vortex circulation by an electric field. Sci. Bull. 65, 1260–1267 (2020).
Berruto, G. et al. Laser-induced skyrmion writing and erasing in an ultrafast cryo-Lorentz transmission electron microscope. Phys. Rev. Lett. 120, 117201 (2018).
Li, Z. et al. Room-temperature sub-100 nm Néel-type skyrmions in non-stoichiometric van der Waals ferromagnet Fe3-xGaTe2 with ultrafast laser writability. Nat. Commun. 15, 1017 (2024).
Eggebrecht, T. et al. Light-induced metastable magnetic texture uncovered by in situ Lorentz microscopy. Phys. Rev. Lett. 118, 097203 (2017).
Fu, X. et al. Optical manipulation of magnetic vortices visualized in situ by Lorentz electron microscopy. Sci. Adv. 4, eaat3077 (2018).
Davies, C. S. et al. Anomalously damped heat-assisted route for precessional magnetization reversal in an iron garnet. Phys. Rev. Lett. 122, 027202 (2019).
Peng, Y. et al. In-plane reorientation induced single laser pulse magnetization reversal. Nat. Commun. 14, 5000 (2023).
Zalewski, T. et al. Ultrafast all-optical toggle writing of magnetic bits without relying on heat. Nat. Commun. 15, 4451 (2024).
Yu, D. et al. Skyrmions-based logic gates in one single nanotrack completely reconstructed via chirality barrier. Natl Sci. Rev. 9, nwac021 (2022).
Im, M.-Y. et al. Symmetry breaking in the formation of magnetic vortex states in a permalloy nanodisk. Nat. Commun. 3, 983 (2012).
Schneider, M. et al. Stability of magnetic vortices in flat submicron permalloy cylinders. J. Appl. Phys. 92, 1466–1472 (2002).
Lau, J. W., Beleggia, M. & Zhu, Y. Common reversal mechanisms and correlation between transient domain states and field sweep rate in patterned permalloy structures. J. Appl. Phys. 102, 043906 (2007).
Kammerer, M. et al. Magnetic vortex core reversal by excitation of spin waves. Nat. Commun. 2, 279 (2011).
Schneider, M., Hoffmann, H. & Zweck, J. Magnetic switching of single vortex permalloy elements. Appl. Phys. Lett. 79, 3113–3115 (2001).
Beaurepaire, E. et al. Ultrafast spin dynamics in ferromagnetic nickel. Phys. Rev. Lett. 76, 4250–4253 (1996).
Kirilyuk, A., Kimel, A. V. & Rasing, T. Ultrafast optical manipulation of magnetic order. Rev. Mod. Phys. 82, 2731–2784 (2010).
Rubiano da Silva, N. et al. Nanoscale mapping of ultrafast magnetization dynamics with femtosecond Lorentz microscopy. Phys. Rev. X 8, 031052 (2018).
Koopmans, B. et al. Explaining the paradoxical diversity of ultrafast laser-induced demagnetization. Nat. Mater. 9, 259–265 (2010).
Kim, J.-W. et al. Ultrafast spin demagnetization by nonthermal electrons of TbFe alloy film. Appl. Phys. Lett. 94, 192506 (2009).
Taguchi, K., Ohe, J. -i & Tatara, G. Ultrafast magnetic vortex core switching driven by the topological inverse Faraday effect. Phys. Rev. Lett. 109, 127204 (2012).
Shen, L. Q. et al. Dominant role of inverse Cotton-Mouton effect in ultrafast stimulation of magnetization precession in undoped yttrium iron garnet films by 400-nm laser pulses. Phys. Rev. B 97, 224430 (2018).
Pan, X.-F. et al. Skyrmion-mechanical hybrid quantum systems: manipulation of skyrmion qubits via phonons. Phys. Rev. Res. 6, 023067 (2024).
Vansteenkiste, A. et al. The design and verification of MuMax3. AIP Adv. 4, 107133 (2014).
Nobuo Hayashi, N. H., Koji Saito, K. S. & Yoshinobu Nakatani, Y. N. Calculation of demagnetizing field distribution based on fast fourier transform of convolution. Jpn. J. Appl. Phys. 35, 6065 (1996).
Alber, L. et al. NTMpy: an open source package for solving coupled parabolic differential equations in the framework of the three-temperature model. Comput. Phys. Commun. 265, 107990 (2021).
Mukhopadhyay, S. et al. Investigation of ultrafast demagnetization and Gilbert damping and their correlation in different ferromagnetic thin films grown under identical conditions. Nanotechnology 34, 235702 (2023).
Ellis, M. O. A., Ostler, T. A. & Chantrell, R. W. Classical spin model of the relaxation dynamics of rare-earth doped permalloy. Phys. Rev. B 86, 174418 (2012).
Panda, S. N. et al. Ultrafast demagnetization and precession in permalloy films with varying thickness. Phys. Rev. B 108, 144421 (2023).
Khela, M. et al. Laser-induced topological spin switching in a 2D van der Waals magnet. Nat. Commun. 14, 1378 (2023).
