Abstract
Electric-field control of magnetism without electric currents potentially revolutionizes spintronics toward ultralow power. Here, by using mechanically coupled phase field simulations, we computationally demonstrate the application of the strain-mediated magnetoelectric effect for the electric-field control of magnetic states in a heterostructure. In the model heterostructure constituted of the soft nanomagnet Co and the piezoelectric substrate PMN–PT, both the volatility of magnetic states and the magnetization switching dynamics excited by the electric field are explored. It is found that an electric field can drive the single-domain nanomagnet into an equilibrium vortex state. The nanomagnet remains in the vortex state even after removing the electric field or applying a reverse electric field, i.e., the vortex state is extremely stable and nonvolatile. Only by utilizing the precessional magnetization dynamics, the 180\(^\circ \) magnetization switching is possible in small-sized nanomagnets which are free of the stable vortex state. Electric-field pulses can realize the deterministic 180\(^\circ \) switching if the electric-field magnitude, pulse width, and ramp time are carefully designed. The minimum switching time is found to be less than 10 ns. These results provide useful information for the design of low-power, reliable, and fast electric-field-controlled spintronics.
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References
Salahuddin, S., Datta, S.: Interacting systems for self-correcting low power switching. Appl. Phys. Lett. 90(9), 093503 (2007). https://doi.org/10.1063/1.2709640
Katine, J.A., Albert, F.J., Buhrman, R.A., Myers, E.B., Ralph, D.C.: Current-driven magnetization reversal and spin-wave excitations in Co/Cu/Co pillars. Phys. Rev. Lett. 84(14), 3149–3152 (2000). https://doi.org/10.1103/PhysRevLett.84.3149
Peng, R.C., Hu, J.M., Momeni, K., Wang, J.J., Chen, L.Q., Nan, C.W.: Fast 180 degrees magnetization switching in a strain-mediated multiferroic heterostructure driven by a voltage. Sci. Rep. 6, 27561 (2016). https://doi.org/10.1038/srep27561
Yi, M., Xu, B.-X., Shen, Z.: Effects of magnetocrystalline anisotropy and magnetization saturation on the mechanically induced switching in nanomagnets. J. Appl. Phys. 117(10), 103905 (2015). https://doi.org/10.1063/1.4914485
Hu, J.M., Yang, T., Wang, J., Huang, H., Zhang, J., Chen, L.Q., Nan, C.W.: Purely electric-field-driven perpendicular magnetization reversal. Nano Lett. 15(1), 616–622 (2015). https://doi.org/10.1021/nl504108m
Yi, M., Xu, B.-X., Shen, Z.: 180\(^\circ \) magnetization switching in nanocylinders by a mechanical strain. Extreme Mech. Lett. 3, 66–71 (2015). https://doi.org/10.1016/j.eml.2015.03.004
Wang, J., Hu, J., Wang, H., Jiang, H., Wu, Z., Ma, J., Wang, X., Lin, Y., Nan, C.W.: Electric-field modulation of magnetic properties of Fe films directly grown on BiScO\(_3\)–PbTiO\(_3\) ceramics. J. Appl. Phys. 107(8), 083901 (2010). https://doi.org/10.1063/1.3369284
Liu, M., Nan, T., Hu, J.-M., Zhao, S.-S., Zhou, Z., Wang, C.-Y., Jiang, Z.-D., Ren, W., Ye, Z.-G., Chen, L.-Q., Sun, N.X.: Electrically controlled non-volatile switching of magnetism in multiferroic heterostructures via engineered ferroelastic domain states. NPG Asia Mater. 8(9), e316 (2016). https://doi.org/10.1038/am.2016.139
Yi, M., Xu, B.-X., Gross, D.: Mechanically induced deterministic 180\(^\circ \) switching in nanomagnets. Mech. Mater. 87, 40–49 (2015). https://doi.org/10.1016/j.mechmat.2015.04.006
Hu, J.-M., Yang, T.N., Chen, L.Q., Nan, C.W.: Voltage-driven perpendicular magnetic domain switching in multiferroic nanoislands. J. Appl. Phys. 113(19), 194301 (2013). https://doi.org/10.1063/1.4804157
Hu, J.-M., Nan, C.W.: Electric-field-induced magnetic easy-axis reorientation in ferromagnetic/ferroelectric layered heterostructures. Phys. Rev. B. (2009). https://doi.org/10.1103/PhysRevB.80.224416
Buzzi, M., Chopdekar, R.V., Hockel, J.L., Bur, A., Wu, T., Pilet, N., Warnicke, P., Carman, G.P., Heyderman, L.J., Nolting, F.: Single domain spin manipulation by electric fields in strain coupled artificial multiferroic nanostructures. Phys. Rev. Lett. 111(2), 027204 (2013). https://doi.org/10.1103/PhysRevLett.111.027204
Ghidini, M., Maccherozzi, F., Moya, X., Phillips, L.C., Yan, W., Soussi, J., Metallier, N., Vickers, M.E., Steinke, N.J., Mansell, R., Barnes, C.H., Dhesi, S.S., Mathur, N.D.: Perpendicular local magnetization under voltage control in Ni films on ferroelectric BaTiO\(_3\) substrates. Adv. Mater. 27(8), 1460–1465 (2015). https://doi.org/10.1002/adma.201404799
Ghidini, M., Pellicelli, R., Prieto, J.L., Moya, X., Soussi, J., Briscoe, J., Dunn, S., Mathur, N.D.: Non-volatile electrically-driven repeatable magnetization reversal with no applied magnetic field. Nat. Commun. 4, 1453 (2013). https://doi.org/10.1038/ncomms2398
Roy, K., Bandyopadhyay, S., Atulasimha, J.: Binary switching in a ‘symmetric’ potential landscape. Sci. Rep. 3, 3038 (2013). https://doi.org/10.1038/srep03038
Roy, K., Bandyopadhyay, S., Atulasimha, J.: Switching dynamics of a magnetostrictive single-domain nanomagnet subjected to stress. Phys. Rev. B (2011). https://doi.org/10.1103/PhysRevB.83.224412
Tiercelin, N., Dusch, Y., Klimov, A., Giordano, S., Preobrazhensky, V., Pernod, P.: Room temperature magnetoelectric memory cell using stress-mediated magnetoelastic switching in nanostructured multilayers. Appl. Phys. Lett. 99(19), 192507 (2011). https://doi.org/10.1063/1.3660259
Roy, K., Bandyopadhyay, S., Atulasimha, J.: Energy dissipation and switching delay in stress-induced switching of multiferroic nanomagnets in the presence of thermal fluctuations. J. Appl. Phys. 112(2), 023914 (2012). https://doi.org/10.1063/1.4737792
Brintlinger, T., Lim, S.H., Baloch, K.H., Alexander, P., Qi, Y., Barry, J., Melngailis, J., Salamanca-Riba, L., Takeuchi, I., Cumings, J.: In situ observation of reversible nanomagnetic switching induced by electric fields. Nano Lett. 10(4), 1219–1223 (2010). https://doi.org/10.1021/nl9036406
Wang, J.J., Hu, J.M., Yang, T.N., Feng, M., Zhang, J.X., Chen, L.Q., Nan, C.W.: Effect of strain on voltage-controlled magnetism in BiFeO\(_3\)-based heterostructures. Sci. Rep. 4, 4553 (2014). https://doi.org/10.1038/srep04553
Wang, J.J., Hu, J.M., Ma, J., Zhang, J.X., Chen, L.Q., Nan, C.W.: Full 180 degrees magnetization reversal with electric fields. Sci. Rep. 4, 7507 (2014). https://doi.org/10.1038/srep07507
Li, P., Chen, A., Li, D., Zhao, Y., Zhang, S., Yang, L., Liu, Y., Zhu, M., Zhang, H., Han, X.: Electric field manipulation of magnetization rotation and tunneling magnetoresistance of magnetic tunnel junctions at room temperature. Adv. Mater. 26(25), 4320–4325 (2014). https://doi.org/10.1002/adma.201400617
Avakian, A., Gellmann, R., Ricoeur, A.: Nonlinear modeling and finite element simulation of magnetoelectric coupling and residual stress in multiferroic composites. Acta Mech. 226(8), 2789–2806 (2015). https://doi.org/10.1007/s00707-015-1336-0
Ezzin, H., Amor, M.B., Ghozlen, M.H.B.: Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates. Acta Mech. (2016). https://doi.org/10.1007/s00707-016-1744-9
Sridhar, A., Keip, M.-A., Miehe, C.: Homogenization in micro-magneto-mechanics. Comput. Mech. 58(1), 151–169 (2016). https://doi.org/10.1007/s00466-016-1286-y
Wang, J., Li, G.-P., Shimada, T., Fang, H., Kitamura, T.: Control of the polarity of magnetization vortex by torsion. Appl. Phys. Lett. 103(24), 242413 (2016). https://doi.org/10.1063/1.4847375
Ong, P.V., Kioussis, N., Odkhuu, D., Amiri, P.K., Wang, K.L., Carman, G.P.: Giant voltage modulation of magnetic anisotropy in strained heavy metal/magnet/insulator heterostructures. Phys. Rev. B 92(2), 020407(R) (2015). https://doi.org/10.1103/PhysRevB.92.020407
Ong, P.V., Kioussis, N., Amiri, P.K., Wang, K.L.: Electric-field-driven magnetization switching and nonlinear magnetoelasticity in Au/FeCo/MgO heterostructures. Sci. Rep. 6, 29815 (2016). https://doi.org/10.1038/srep29815
Weisheit, M., Fahler, S., Marty, A., Souche, Y., Poinsignon, C., Givord, D.: Electric field-induced modification of magnetism in thin-film ferromagnets. Science 315(5810), 349–351 (2007). https://doi.org/10.1126/science.1136629
Zhu, W., Xiao, D., Liu, Y., Gong, S.J., Duan, C.G.: Picosecond electric field pulse induced coherent magnetic switching in MgO/FePt/Pt(001)-based tunnel junctions: a multiscale study. Sci. Rep. 4, 4117 (2014). https://doi.org/10.1038/srep04117
Rondinelli, J.M., Stengel, M., Spaldin, N.A.: Carrier-mediated magnetoelectricity in complex oxide heterostructures. Nat. Nanotechnol. 3(1), 46–50 (2008). https://doi.org/10.1038/nnano.2007.412
Duan, C.G., Velev, J.P., Sabirianov, R.F., Zhu, Z., Chu, J., Jaswal, S.S., Tsymbal, E.Y.: Surface magnetoelectric effect in ferromagnetic metal films. Phys. Rev. Lett. 101(13), 137201 (2008). https://doi.org/10.1103/PhysRevLett.101.137201
Maruyama, T., Shiota, Y., Nozaki, T., Ohta, K., Toda, N., Mizuguchi, M., Tulapurkar, A.A., Shinjo, T., Shiraishi, M., Mizukami, S., Ando, Y., Suzuki, Y.: Large voltage-induced magnetic anisotropy change in a few atomic layers of iron. Nat. Nanotechnol. 4(3), 158–161 (2009). https://doi.org/10.1038/nnano.2008.406
Niranjan, M.K., Duan, C.-G., Jaswal, S.S., Tsymbal, E.Y.: Electric field effect on magnetization at the Fe/MgO(001) interface. Appl. Phys. Lett. 96(22), 222504 (2010). https://doi.org/10.1063/1.3443658
Wang, W.G., Li, M., Hageman, S., Chien, C.L.: Electric-field-assisted switching in magnetic tunnel junctions. Nat. Mater. 11(1), 64–68 (2011). https://doi.org/10.1038/nmat3171
Shiota, Y., Nozaki, T., Bonell, F., Murakami, S., Shinjo, T., Suzuki, Y.: Induction of coherent magnetization switching in a few atomic layers of FeCo using voltage pulses. Nat. Mater. 11(1), 39–43 (2011). https://doi.org/10.1038/nmat3172
Zhou, Z., Howe, B.M., Liu, M., Nan, T., Chen, X., Mahalingam, K., Sun, N.X., Brown, G.J.: Interfacial charge-mediated non-volatile magnetoelectric coupling in Co\(_{0.3}\)Fe\(_{0.7}\)/Ba\(_{0.6}\)Sr\(_{0.4}\)TiO\(_3\)/Nb:SrTiO\(_3\) multiferroic heterostructures. Sci. Rep. 5, 7740 (2015). https://doi.org/10.1038/srep07740
Yang, S.W., Peng, R.C., Jiang, T., Liu, Y.K., Feng, L., Wang, J.J., Chen, L.Q., Li, X.G., Nan, C.W.: Non-volatile 180 degrees magnetization reversal by an electric field in multiferroic heterostructures. Adv. Mater. 26(41), 7091–7095 (2014). https://doi.org/10.1002/adma.201402774
Duan, C.G., Jaswal, S.S., Tsymbal, E.Y.: Predicted magnetoelectric effect in Fe/BaTiO\(_3\) multilayers: ferroelectric control of magnetism. Phys. Rev. Lett. 97(4), 047201 (2006). https://doi.org/10.1103/PhysRevLett.97.047201
Fechner, M., Maznichenko, I.V., Ostanin, S., Ernst, A., Henk, J., Bruno, P., Mertig, I.: Magnetic phase transition in two-phase multiferroics predicted from first principles. Phys. Rev. B (2008). https://doi.org/10.1103/PhysRevB.78.212406
Duan, C.-G., Velev, J.P., Sabirianov, R.F., Mei, W.N., Jaswal, S.S., Tsymbal, E.Y.: Tailoring magnetic anisotropy at the ferromagnetic/ferroelectric interface. Appl. Phys. Lett. 92(12), 122905 (2008). https://doi.org/10.1063/1.2901879
Yamauchi, K., Sanyal, B., Picozzi, S.: Interface effects at a half-metal/ferroelectric junction. Appl. Phys. Lett. 91(6), 062506 (2007). https://doi.org/10.1063/1.2767776
Duan, C.G., Sabirianov, R.F., Mei, W.N., Jaswal, S.S., Tsymbal, E.Y.: Interface effect on ferroelectricity at the nanoscale. Nano Lett. 6(3), 483–487 (2006). https://doi.org/10.1021/nl052452l
Fechner, M., Zahn, P., Ostanin, S., Bibes, M., Mertig, I.: Switching magnetization by 180 degrees with an electric field. Phys. Rev. Lett. 108(19), 197206 (2012). https://doi.org/10.1103/PhysRevLett.108.197206
Chu, Y.H., Martin, L.W., Holcomb, M.B., Gajek, M., Han, S.J., He, Q., Balke, N., Yang, C.H., Lee, D., Hu, W., Zhan, Q., Yang, P.L., Fraile-Rodriguez, A., Scholl, A., Wang, S.X., Ramesh, R.: Electric-field control of local ferromagnetism using a magnetoelectric multiferroic. Nat. Mater. 7(6), 478–482 (2008). https://doi.org/10.1038/nmat2184
Heron, J.T., Bosse, J.L., He, Q., Gao, Y., Trassin, M., Ye, L., Clarkson, J.D., Wang, C., Liu, J., Salahuddin, S., Ralph, D.C., Schlom, D.G., Iguez, J., Huey, B.D., Ramesh, R.: Deterministic switching of ferromagnetism at room temperature using an electric field. Nature 516(7531), 370–373 (2014). https://doi.org/10.1038/nature14004
Wang, J.J., Hu, J.M., Peng, R.C., Gao, Y., Shen, Y., Chen, L.Q., Nan, C.W.: Magnetization reversal by out-of-plane voltage in BiFeO\(_3\)-based multiferroic heterostructures. Sci. Rep. 5, 10459 (2015). https://doi.org/10.1038/srep10459
Peng, J., Luo, H.-S., Lin, D., Xu, H.-Q., He, T.-H., Jin, W.: Orientation dependence of transverse piezoelectric properties of 0.70Pb(Mg\(_{1/3}\)Nb\(_{2/3}\))O\(_3\)–0.30PbTiO\(_3\) single crystals. Appl. Phys. Lett. 85(25), 6221 (2004). https://doi.org/10.1063/1.1839288
Yi, M., Xu, B.-X.: A real-space and constraint-free phase field model for the microstructure of ferromagnetic shape memory alloys. Int. J. Fract. 202(2), 179–194 (2016). https://doi.org/10.1007/s10704-016-0152-4
Yi, M., Xu, B.X.: A constraint-free phase field model for ferromagnetic domain evolution. Proc. R. Soc. A 470(2171), 20140517 (2014). https://doi.org/10.1098/rspa.2014.0517
Taylor, R.L.: FEAP-A Nite Element Analysis Program. http://www.ce.berkeley.edu/projects/feap/
Sampath, V., D’Souza, N., Bhattacharya, D., Atkinson, G.M., Bandyopadhyay, S., Atulasimha, J.: Acoustic-wave-induced magnetization switching of magnetostrictive nanomagnets from single-Domain to nonvolatile vortex states. Nano Lett. 16(9), 5681–5687 (2016). https://doi.org/10.1021/acs.nanolett.6b02342
Wang, K.L., Alzate, J.G., Khalili Amiri, P.: Low-power non-volatile spintronic memory: STT-RAM and beyond. J. Phys. D Appl. Phys. 46(7), 074003 (2013). https://doi.org/10.1088/0022-3727/46/7/074003
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Yi, M., Xu, BX., Müller, R. et al. Strain-mediated magnetoelectric effect for the electric-field control of magnetic states in nanomagnets. Acta Mech 230, 1247–1256 (2019). https://doi.org/10.1007/s00707-017-2029-7
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DOI: https://doi.org/10.1007/s00707-017-2029-7