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Reducing energy dissipation while increasing speed in computation and memory is a long-standing challenge for spintronics research [1]. In the last 20 years, femtosecond lasers have emerged as a tool to control the magnetization in specific magnetic materials at the picosecond timescale [2]. However, the use of ultra-fast optics in integrated circuits and memories would require a major paradigm shift. An ultrafast electrical control of the magnetization [3] is far preferable for integrated systems. Here we demonstrate reliable and deterministic control of the out-of-plane magnetization of a 1 nm-thick Co layer with single 6 ps-wide electrical pulses that induce spin orbit torques on the magnetization. We can monitor the ultrafast magnetization dynamics due to the spin orbit torques with sub-picosecond resolution, thus far accessible only by numerical simulations. Due to the short duration of our pulses, we enter a counter-intuitive regime of switching where heat dissipation assists the reversal. Moreover, we estimate a low energy cost to switch the magnetization, below 50 pJ for our micrometer sized device. These experiments show that spintronic phenomena can be exploited on picosecond time-scales for full magnetic control and should launch a new regime of ultrafast spin torque studies and applications.References: [1] Åkerman, J. Toward a universal memory. Science. 308, 508–510 (2005). [2] Kirilyuk, A., Kimel, A. V &amp; Rasing, T. Ultrafast optical manipulation of magnetic order. Rev. Mod. Phys. 82, (2010). [3] Garello, K. et al. Ultrafast magnetization switching by spin-orbit torques. Appl. Phys. Lett. 105, 1–12 (2014).

MMM 2020

Picosecond Spin Orbit Torque Switching

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INTERMAG 2021

Reducing energy dissipation while increasing speed in computation and memory is a long-standing challenge for spintronics research [1]. In the last 20 years, femtosecond lasers have emerged as a tool to control the magnetization in specific magnetic materials at the picosecond timescale [2]. However, the use of ultra-fast optics in integrated circuits and memories would require a major paradigm shift. An ultrafast electrical control of the magnetization [3] is far preferable for integrated systems. Here we demonstrate reliable and deterministic control of the out-of-plane magnetization of a 1 nm-thick Co layer with single 6 ps-wide electrical pulses that induce spin orbit torques on the magnetization. We can monitor the ultrafast magnetization dynamics due to the spin orbit torques with sub-picosecond resolution, thus far accessible only by numerical simulations. Due to the short duration of our pulses, we enter a counter-intuitive regime of switching where heat dissipation assists the reversal. Moreover, we estimate a low energy cost to switch the magnetization, below 50 pJ for our micrometer sized device. These experiments show that spintronic phenomena can be exploited on picosecond time-scales for full magnetic control and should launch a new regime of ultrafast spin torque studies and applications.References: [1] Åkerman, J. Toward a universal memory. Science. 308, 508–510 (2005). [2] Kirilyuk, A., Kimel, A. V & Rasing, T. Ultrafast optical manipulation of magnetic order. Rev. Mod. Phys. 82, (2010). [3] Garello, K. et al. Ultrafast magnetization switching by spin-orbit torques. Appl. Phys. Lett. 105, 1–12 (2014).

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The 65th Annual Conference on Magnetism and Magnetic Materials (MMM 2020) was held in a virtual form. The COVID-19 pandemic, with its associated uncertainty about international travel and the ability to gather in large groups, meant that the Steering Committee decided to cancel the face-to-face meeting that had been planned in Palm Beach, Florida November 2-6, 2020.

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The manganites [1,2] and cobaltites [3-5] have been found to be depicting the spin-glass (SG) behaviour; arising out of randomly frozen state of the spins, below a critical temperature. A typical SG is characterized by the absence of long range ordering and magnetic frustration [6]. In LaMn1-y CoyO3 (y = 0.1 - 0.4) competing ferromagnetic (FM) and antiferromagnetic (AFM) interactions result in frustration consequently leading to SG state. In order to investigate the existence of SG behaviour in the present system susceptibility measurement in an ac field of 4 Oe and 0 Oe dc field has been performed at different frequencies. Temperature dependence of in-phase ( χ’ac ) component of the ac susceptibility, show that the peak position which correspond to freezing temperature (Tf ) moves toward higher temperatures and the magnitude of χ’ac decreases as the frequency increases. This is a strong signature of the existence of SG behavior. The parameter called relative shift in freezing temperature (δTf) per decade of frequency, suitable in characterizing a particular SG state [6, 7] is found to be δTf = 0.008 for x = 0.1 and δTf = 0.0053 for x = 0.4; in accordance with the one reported for canonical SG systems [3,6,10]. Temperature variation for out of phase component of ac susceptibility (χac``) show the existence of canonical SG state in both the samples, the prominent feature for which is the zero value of χac`` at temperatures larger than Tf and its finite value below Tf in both the samples. The frequency dependence of Tf is analyzed by using the Vogel-Fulcher (VF)- and Arrhenius –law [6], both of which prove the existence of canonical spin glass state in LaMn1-xCoxO3 ( x = 0.1 - 0.4).References: 1. I. O. Troyanchuk , L. S. Lobanovsky et al J. Magn. Magn.Mater. 210, 63 (2000). 2.X.L. Wang, M. James et al. Supercond. Sci. Technol. 15, 427- 430 (2002) 3. N. Khan, A. Midya, P. Mandal and D. Prabhakaran J. App. Phys. 113, 183909 (2013). 4. V. Kumar, Y. Kumar, R. Kumar et al. J.of App. Phys. 113, 043918 (2013). 5. J. Wu and C. Leighton Phys. Rev. B 67, 174408 (2003). 6. J. A. Mydosh Spin glasses: an experimental introduction (1993 Taylor and Francis); 7. P. Bag, P. R. Baral, and R. Nath Phys. Rev. B 98, 144436 (2018). 8.C. A. M. Mulder, A. J.V. Duyneveldt, and J. A. Mydosh, Phys. Rev. B 25, 515 (1982).

Study of Canonical Spin Glass Behavior in Co doped LaMnO3

The perovskite compound La1-xSrxMnO3 (LSMO) is known for the high spin-polarized currents, which makes it a material of great interest in spintronics [1]. The magnetoresistance (MR) observed was found to depend strongly on the microstructure, i.e., the grain boundaries (GBs) and the interfaces between the grains. By means of electrospinning, one can prepare long (up to 100 µm), free-standing LSMO nanowires. The diameter of the nanowires is in the 200 nm-range, and the individual nanowires are polycrystalline with a grain size of about 15-20 nm, which corresponds to the dimensions obtained via transmission electron microscopy (TEM). The microstructural properties of electrospun La0.8Sr0.2MnO3 (LSMO) nanowires were investigated using SEM, TEM and electron backscatter diffraction (EBSD). By means of EBSD, it is possible to measure the crystallographic orientation of the LSMO grains within an individual nanowire. As the LSMO grains within the nanowires are in the 10-nm range, we employ here parts of the recently developed transmission-EBSD or transmission Kikuchi diffraction technique [2,3] in order to enhance the Kikuchi pattern quality to enable an automated mapping of the crystallographic data. The diffraction results demonstrate that the grain orientation is not random, but there is a texture induced by the shape of the polymer nanowire formed after the electrospinning step. Within an individual nanowire section, the dominating GBs are high-angle grain boundaries, which play an important role in the current flow through the sample (low- and high field magnetoresistance). The data obtained allow further an analysis of the grain shape aspect ratio, and elucidate the grain and grain boundary arrangement within electrospun LSMO nanowires. This work is supported by DFG-project Ko2323-8.References: [1] J. Huang et al., ACS Appl. Mater. Interfaces 10, 42698 (2018) [2] P. W. Trimby, Ultramicroscopy 120, 16 (2012). [3] A. Koblischka-Veneva, M. R. Koblischka, J. Schmauch, et al., J. Microscopy 274, 123 (2019).

Microstructure analysis of electrospun La0.8Sr0.2MnO3 nanowires using electron microscopy and electron backscatter diffraction (EBSD)

Half-doped praseodymium manganites, Pr0.5Ca0.5MnO3, nanoparticles synthesized by sol-gel method are annealed at different temperatures in order to obtain nanoparticles sizes ranging from 15 to 100 nm. HRTEM shows that the nanoparticles are very crystalline with no structural disorder at the surface. Rietveld powder diffraction profile determines that the samples have orthorhombic structure with space group Pnma and cell volume decreases with increasing particle size. The thermodiffraction patterns from 50 to 300 K indicate that the charge ordering (CO) is suppressed for the smallest particles, whereas the largest one still resembles the bulk. Hysteresis loops and ZFC-FC curves evince that, as the most of half-doped (Mn3+:Mn4+ = 1) antiferromagnetic (AFM) charge-ordered manganites, ferromagnetism (FM) appears as particle size decreases. Hysteresis loops at FC procedure show a coercivity increase and a shift to negative field, confirming that both AFM and FM phases not only coexist but are also coupled. In addition, a spin glass behaviour is observed with glass temperature around 50 K. A possible origin of FM phase development is the lacking oxygen ligands at the surface that increases Mn3+ at expenses of Mn4+ in order to maintain the electronic neutrality. In this work, we show that Mn3+:Mn4+ = 1 ratio is preserved in the whole crystalline particle with the exception of the surface, where this ratio changes to Mn3+:Mn4+ >1. This Mn3+ excess makes double exchange Mn3+→ O2-→Mn4+ prevails over the super-exchange giving place to the FM interactions. We show that a “shell” thickness of only one-unit cell, with acell = 0.38 nm, is enough to explain the onset of FM at the surface, whereas the volume remains AFM. Furthermore, the FM to AFM ratio fits to the increase of surface to volume ratio with decreasing particle size.[1].References: [1] H. D. Aliyu, J. M. Alonso, P de la Presa et al., Chem Mater 30, 7138-7145 (2018).

Surface ferromagnetism in Pr0.5Ca0.5MnO3 nanoparticles as a consequence of local imbalance Mn3+:Mn4+ ratio

We report a systematic tracking of the consequence of size reduction to nanoscale on charge order (CO) and magnetic properties of electron doped Sm0.35Ca0.65MnO3 by magnetization and electron paramagnetic resonance (EPR) measurements. The bulk form of this system is charge ordered below 275 K and antiferromagnetic (AFM) below 130 K. The bulk sample and nanoparticles of various sizes (mean diameter ~ 15, 30, 60, 90 nm) were prepared by sol-gel method. Magnetic and X-band EPR measurements were carried out at temperatures from 10-300 K. Our studies show that the highly robust CO in the bulk gets weakened by size reduction and the nanoparticles exhibit ferromagnetic (FM) ordering[1]. Magnetization in the paramagnetic region arising due to FM fluctuations caused by double exchange interaction is found to decrease as particle size decreases. However, at low temperature the trend of FM magnetization as a function of the size is found to be reversed as shown in Fig 1. Analysis of magnetic susceptibilities shows that magnetization in the FM phase is not due to the strengthening of double-exchange FM interactions but it is attributed to the dominance of surface effects. A detailed study on the EPR intensity, line width and g-factor reveals that in 15 nm particles though long range CO disappears, the signature of short range CO persists[2]. Line width variation indicating weakening of the AFM interactions and the development of the short-range FM phase are discussed based on Fig 2. As the particle size decreases the relative contribution of the surface ions increases. The prevalence of translational symmetry breaking, defects and surface imperfections lead to short range FM ordering in the system. We discuss the origin of these effects in terms of the presently existing models.References: [1] S. S. Rao, S. Tripathi, D. Pandey, and S. V. Bhat, Phys. Rev. B 74, 144416 (2006) [2] S. Zhou, Y. Guo, J. Zhao, L. He, C. Wang, and L. Shi, J. Phys. Chem. C 115, 11500 (2011).

Size Dependence of Charge Order and Magnetism in Sm0.35Ca0.65MnO3 – Magnetization and Electron Paramagnetic Resonance Studies

Recently, there have been reports on observation of electrical polarization and/or giant magnetoelectric effect in epitaxial rare-earth iron garnet (RIG) films [1–5] but the mechanism behind it is still in dispute. First-principles methods are employed to understand the existence of such polarization in RIGs. In contrast with previous beliefs, it is found that its occurrence can be explained if the system adopts magnetic multidomains and does neither require local magnetic moments of the rare-earth ions nor non-collinear magnetism. Table I reports the predicted polarization of a studied RIG multidomains (with R=Gd) with DW in the middle of supercells when we consider or not f-electrons of the Gadolinium (G) ions as valence electrons, which we denote as the “with-f” versus the “without-f” cases, respectively. Within each supercell, the two magnetic domains have a magnetic configuration that is reversed with respect to each other. As one can see, domain walls (DW) in GIG gives rise to a polarization even without f-electrons. This is further confirmed by the prediction of polarization in Yttrium (IG) and Lutetium (IG) iron garnet systems having multidomains as well. Furthermore, we found that the microscopic mechanism responsible for this DW-induced-polarization originates from a magnetoelectric effect arising from ferromagnetic interactions between octahedral and tetrahedral Fe ions at the domain walls (note that this interaction is antiferromagnetic in bulk RIG). More precisely, this mechanism is a symmetric exchange-striction mechanism, which, for the electrical polarization, takes the analytical form of Ρ=∑ Pesij Si●Sj, where the summation is over all the spin pairs and Pesij is the polarization coefficient vector associated with the spin pair. Acknowledgments This work is supported by the Department of Energy, Office of Basic Energy Sciences, under Award No. DE-SC0002220References: [1] A. S. Logginov, G. A. Meshkov, A. V. Nikolaev, and A. P. Pyatakov, JETP Lett. 86, 115 (2007). [2] G. V. Arzamastseva, A. M. Balbashov, F. V. Lisovskii, E. G. Mansvetova, A. G. Temiryazev, and M. P. Temiryazeva, J. Exp. Theor. Phys. 120, 687 (2015). [3] A. P. Pyatakov, A. K. Zvezdin, A. M. Vlasov, A. S. Sergeev, D. A. Sechin, E. P. Nikolaeva, A. V. Nikolaev, H. Chou, S. J. Sun, and L. E. Calvet, in Ferroelectrics ( Taylor & Francis Group , 2012), pp. 79–88. [4] V. Koronovskyy and Y. Vakyla, Electron. Mater. Lett. 11, 1028 (2015). [5] I. S. Veshchunov, S. V. Mironov, W. Magrini, V. S. Stolyarov, A. N. Rossolenko, V. A. Skidanov, J. B. Trebbia, A. I. Buzdin, P. Tamarat, and B. Lounis, Phys. Rev. Lett. 115, (2015).

Magnetic-domain-wall-induced electrical polarization in rare-earth iron garnet systems: A first-principle study

In the present work, we show that the in situ growth of oriented nanometric aggregates of cobalt oxide can be explored to alter and tune magnetocrystaline anisotropy. As such, the impact of interparticle interaction on magnetic properties of the aggregates is studied. Mono-dispersed cobalt oxide (CoO) nanostructures were prepared through decomposition of metal-organic compound of cobalt (II) in an alcoholic solution under controlled microwave irradiation, below 150 ⁰C. CoO nanostructures were effectively synthesized without the use of any surfactant. The structures were found to be inert to oxidation in ambient air for several months. We attribute the stability of CoO nanospheres to their dense packing, the driving force being, minimization of surface area and surface energy [1]. X-ray diffractometry (XRD) measurements indicate the formation of well crystallized CoO nanoparticles, without the need for post-synthesis annealing. Deconvolution of the active modes in Raman spectra obtained at room temperature reveals the Oh symmetry in rock-salt CoO, induced by microwave-assisted synthesis route [2]. Its effect on magnetic characteristics of CoO is analyzed here. Field-dependent magnetization (MH) and temperature-dependent magnetization (MT) measurements show a phase transition from paramagnetic to superparamagnetic interactions in CoO nanostructures at around 10 K, at which the average particle size was estimated to be 9 nm. The nanostructures however do not exhibit a distinct antiferromagnetic transition around 300 K as the bulk sample [3], but instead show a hysteresis below a blocking temperature of ~10 K (Figure 1). This finding reveals the magnetic behavior of CoO nanostructures that opens new opportunities for future applications as anisotropy source for magnetic recording.References: [1] M. Ibrahim Dar, S. Sampath and S. A. Shivashankar, Journal of Materials Chemistry., Vol. 22, p.22418 (2012) [2] A. V. Ravindra, B. C. Behera and W. Prellier, Journal of Applied Physics, Vol. 116, p.33912 (2014) [3] C.N.R. Rao and B. Raveau, Transition metal oxides, Wiley., (1995)

Tuning the magnetic anisotropy and phase transition in superparamagnetic cobalt oxide nanostructures synthesized through novel solution-growth technique

Magnetization switching using spin orbit torque (SOT) [1] has been investigated intensively to realize the low power and high endurance magnetic memory. For the in-plane magnetization switching, fabrication of spin valves is generally required because the anomalous Hall effect is not applicable. Such an additional fabrication procedures impede the rapid development of material search for the materials that exhibit a large SOT. In this study we demonstrated SOT induced in-plane magnetization switching of a single Ni80Fe20 layer on platinum layer by using spin rectification effect (SRE). Under the microwave irradiation, dc voltage via SRE appears near the ferromagnetic resonance field, well known as the spin-torque FMR[2]. In contrast, non-zero dc voltage also appears around zero magnetic field due to the non-resonant SRE (nrSRE), whose voltage level corresponds to the magnetization direction [3]. We found that the nrSRE was drastically enhanced under the irradiation of microwave with a frequency lower than FMR condition. By using the enhanced nrSRE, we demonstrated a highly sensitive detection of in-plane magnetization switching even for a 100 nm-in-width Ni80Fe20 electrode. Figure 1 shows a schematic of the fabricated device. Firstly, a large magnetic field was applied along +y direction to initialize the magnetization direction. After removing the magnetic field, a low frequency microwave was applied to measure the initial DC voltage generated by the nrSRE. After stopping the microwave irradiation, a pulse current was applied into the Pt layer. Then, dc voltage induced by nrSRE was measured again to detect the magnetization reversal. Figure 2 shows the voltage difference between before and after application of the pulse current as a function of the pulse-current density. Clear voltage differences were obtained above 2.5×107 A/cm2, indicating successful magnetization switching. In the presentation, we will discuss the origin of the enhanced nrSRE.References: [1] L. Liu, C. -F. Pai, Y. Li, H. W. Tseng, D. C. Ralph and R. A. Buhrman, Science, Vol. 336, p.555 (2012) [2] L. Liu, T. Moriyama, D. C. Ralph and R. A. Buhrman, Phys. Rev. Lett., Vol. 106, p. 036601 (2011) [3] X. F. Zhu, M. Harder, J. Tayler, A. Wirthmann, B. Zhang, W. Li, Y. S. Gui and C. -M. Hu, Phys. Rev. B, vol. 83, p.140402 (2011)

Detection of in-plane magnetization switching of Ni80Fe20 layer by spin rectification effect

The electrical detection of ferromagnetic resonance through the spin rectification (SR) effect has inspired great interest to investigate the magnetization dynamics in the last two decades. Furthermore, a comprehensive understanding of SR is essential to study the spin pumping and spin Hall effects. Recently, the single crystalline Co0.5Fe0.5 (001) alloy film has attracted attention due to the giant damping anisotropy and current-orientation effect of anisotropic magnetoresistance [Phys. Rev. Lett. 122, 117203 (2019)]. In this experimental work, we studied the SR dependence on the magnetization and current orientations in the single crystalline Co0.5Fe0.5 (001) alloy film. We present the experimental evidence that the magnetization-orientation dependence of the SR signal in Co0.5Fe0.5 strongly differs from those reported in the polycrystalline films. The strong anisotropy ratio of the damping constant up to 520% is determined, which can induce the strong anisotropy of the resonant susceptibility driven by the microwave field. By considering the current-orientation dependent anisotropic magnetoresistance and the anisotropic susceptibility in single crystalline Co0.5Fe0.5, we explain such unusual angular dependent SR signal by the SR theory. Our measurements show the amplitude of the SR signal could have 13 times difference for the devices along the <110> and <100> directions, which introduces the crystalline symmetry as a new approach to engineer the microwave characteristics in microwave spintronics.

Role of crystalline and damping anisotropy to the angular dependences of spin rectification effect in single crystal CoFe film

Hybrid magnonic systems have recently attracted wide attentions due to due to rich potential applications in coherent information processing. One particularly interesting platform is the thin-film-based magnon-magnon hybrid system, which has been recently explored in magnetic bilayers [1-4]. Because magnon excitations are confined within the magnetic media, it is convenient to build up more compact hybrid platforms in micron scale compared with millimeter-scale microwave circuits. Furthermore, the abundant spintronic properties, such as spin-torque manipulation and spin pumping, can be used to control and engineer the hybrid dynamics especially for magnetic thin-film devices. In this work, we demonstrate electrical detection of strongly coupled magnon-magnon hybrid system in yttrium iron garnet/permalloy (YIG/Py) bilayer devices. Direct microwave current injection through the conductive Py layer drives the hybrid dynamics consisting of the uniform mode of Py and the first standing spin wave (n=1) mode of YIG, which are strongly coupled via interfacial exchange coupling. The hybrid dynamics is detected via the spin rectification signal from Py, which provides phase resolution of the coupled dynamics. For the Py-dominated mode we measure a constant phase evolution. For the YIG-dominated mode a π phase shift is measured across the avoided crossing, which agrees with theoretical prediction. In addition, the characterization of nonlocal devices consisting two Py devices on a YIG base device shows that the two Py devices are coupled by inductive coupling, allowing spin rectification measurements of the nonlocal Py device. Our results provide a new device platform for exploring hybrid magnonic dynamics and probing their phases, which are crucial for implementing coherent information processing with magnon excitations. Sample preparation and measurements were supported by the US Department of Energy, Basic Energy Sciences, Materials Science and Engineering Division. Use of the Center for Nanoscale Materials, an Office of Science user facility, was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.References: [1] S. Klingler, et al., Phys. Rev. Lett. 120, 127201 (2018). [2] J. Chen, et al., Phys. Rev. Lett. 120, 217202 (2018). [3] H. Qin, et al., Sci. Rep. 8, 5755 (2018). [4] Y. Li, et al., Phys. Rev. Lett. 124, 117202 (2020)

Phase-resolved electrical detection of strongly coupled magnon-magnon hybrid device

Electron-correlated oxide materials display a plethora of physics phenomena due to their multiples degrees of freedom. Transition-metal oxides, in particular, exhibit coincidental structural, magnetic, and metal-insulator transitions among others. When combined in proximity with single-metallic-ferromagnets, it is possible to enhance the magnetic control at the nanoscale [1]. Understanding the magnetic dynamics in such systems provides the means to untangle the underlying physical phenomena which govern these strongly correlated materials. Here we will present two examples of such systems studied by angular-dependent Ferromagnetic resonance as a function of temperature. In both cases, the magnetic dynamics is governed by the proximity of an oxide undergoing a structural transition with a ferromagnet, as in the case of VOx/Ni heterostructures [2], or in the case of La-Pr-Ca-Mn-O thin films, by their complex magnetic-electronic phase transitions [3]. FMR and micromagnetic simulations allowed us to trace back the details of the phase transitions and to map the changes in anisotropy and the magnetic domain reorganization. Work done in collaboration with Christian Wolowiec, Diego Carranza, Ali Basaran, Amlan Biswas, Michael Fitzsimmons, Arantxa Fraile Rodríguez, Javier Rodriguez-Alvarez, Amílcar Labarta, Xavier Batlle, and Ivan K. Schuller. Funded by the US DoE, Office of Basic Energy Sciences, under Award FG02-87ER-45332 and Colciencias under contract 137-2016. Spanish MINECO projects MAT2015-68772-P and PGC2018-097789-B-I00 and European Union FEDER funds.References: [1] I. Valmianski, et al., in preparation. [2] J. G. Ramirez, et al., Phys. Rev. B 93, 1 (2016). [3] D. Carranza-Celis, et al., in preparation.

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Study of Canonical Spin Glass Behavior in Co doped LaMnO3

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