V. Cros

Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures

Magnetic skyrmions are topologically stable spin configurations, which usually originate from chiral interactions known as Dzyaloshinskii-Moriya interactions. Skyrmion lattices were initially observed in bulk non-centrosymmetric crystals, but have more recently been noted in ultrathin films, where their existence is explained by interfacial Dzyaloshinskii-Moriya interactions induced by the proximity to an adjacent layer with strong spin-orbit coupling. Skyrmions are promising candidates as information carriers for future information-processing devices due to their small size (down to a few nanometres) and to the very small current densities needed to displace skyrmion lattices. However, any practical application will probably require the creation, manipulation and detection of isolated skyrmions in magnetic thin-film nanostructures. Here, we demonstrate by numerical investigations that an isolated skyrmion can be a stable configuration in a nanostructure, can be locally nucleated by injection of spin-polarized current, and can be displaced by current-induced spin torques, even in the presence of large defects.

Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature

Facing the ever-growing demand for data storage will most probably require a new paradigm. Nanoscale magnetic skyrmions are anticipated to solve this issue as they are arguably the smallest spin textures in magnetic thin films in nature. We designed cobalt-based multilayered thin films in which the cobalt layer is sandwiched between two heavy metals and so provides additive interfacial Dzyaloshinskii-Moriya interactions (DMIs), which reach a value close to 2u2005mJ m(-2) in the case of the Ir|Co|Pt asymmetric multilayers. Using a magnetization-sensitive scanning X-ray transmission microscopy technique, we imaged small magnetic domains at very low fields in these multilayers. The study of their behaviour in a perpendicular magnetic field allows us to conclude that they are actually magnetic skyrmions stabilized by the large DMI. This discovery of stable sub-100u2005nm individual skyrmions at room temperature in a technologically relevant material opens the way for device applications in the near future.Facing the ever-growing demand for data storage will most probably require a new paradigm. Magnetic skyrmions are anticipated to solve this issue as they are arguably the smallest spin textures in magnetic thin films in nature. We designed cobalt-based multilayered thin films where the cobalt layer is sandwiched between two heavy metals providing additive interfacial Dzyaloshinskii-Moriya interactions, which reach about 2 mJ/m in the case of the Ir|Co|Pt multilayers. Using a magnetization-sensitive scanning x-ray transmission microscopy technique, we imaged magnetic bubble-like domains in these multilayers. The study of their behavior in magnetic field allows us to conclude that they are actually magnetic skyrmions stabilized by the Dzyaloshinskii-Moriya interaction. This discovery of stable skyrmions at room temperature in a technologically relevant material opens the way for device applications in a near future. A major societal challenge is related to the continually increasing quantity of information to process and store. The hard disk drives, in which information is encoded magnetically, allow nowadays the storage of zettabytes (10) of information, but this technology should soon reach its limits. An up-and-coming avenue has been opened by the discovery of magnetic skyrmions [1], i.e. spin windings that can be localized within a diameter of a few nanometers and can move like particles [2]. These magnetic solitons, remarkably robust against defects due to the topology of their magnetic texture [3], are promising for being the ultimate magnetic bits to carry and store information. The topology of the skyrmions also appears to further underlie other important features such as their current-induced motion induced by small dc currents that is crucial for real applications but also the existence of a specific component in Hall Effect [4-6] that can be used advantageously for an electrical read-out of the information carried by nano-scale skyrmions. We proposed recently that these skyrmions could be used in future storage devices and information processing [2]. The existence of skyrmion spin configuration has been predicted theoretically about thirty years ago [1] but it was only recently that skyrmion lattices have been observed in crystals with noncentrosymmetric lattices, e.g. B20 crystallographic structure in MnSi [7-9], FeCoSi [10] or FeGe [5] crystals. In 2011, skyrmions have also been identified in single ultrathin ferromagnetic films with out-of-plane magnetization (Fe and FePd) deposited on a heavy metal substrate such as Ir(1 1 1) [11, 12]. Thin magnetic films appear to be more compatible with technological developments, though the observation of skyrmions in thin films has been limited up to now to low temperature and also needs, in some cases, the presence of a large applied magnetic field [12]. The study of these new magnetic phases associated with chiral interactions has generated a very strong interest in the community of solid state physics and magnetic systems with reduced dimensions. The magnetic skyrmions are magnetic solitons that are, in most cases, induced by chiral interactions of the Dzyaloshinskii-Moriya (DM) type, which result from spin-orbit effects in the absence of inversion symmetry. The DM Interaction (DMI) between two neighboring atomic spins S1 and S2 can be expressed as: HDMI = D12·(S1×S2) where D12 is the DM vector (Fig. 1A). In this work, we will focus on ultrathin magnetic systems in which the DMI results from the breaking of the inversion symmetry at the interface of a magnetic layer and can be large at the interface with a heavy metal having a large spin-orbit coupling [11]. In such case, the DM vector D12 is perpendicular to the r(S1)−r(S2) line (r(·) being the position vector) and gives rise to cycloidal skyrmionic configurations, which have a given chirality, also called hedgehog skyrmion (see Fig. 1B). Our main goal is to extend the already-observed generation of interfaceinduced skyrmions from single magnetic films [11, 12] to multilayers by stacking layers of magnetic metals and nonmagnetic heavy metals (e.g. Pt and Ir) so as to induce DMI at all the magnetic interfaces (Fig.1A). The advantages of such innovative multilayered systems are twofold. Firstly we anticipate that thermal stability of skyrmions can be greatly improved, simply because of the increase of their magnetic volume, as it turns out for our samples that the same magnetic texture extends vertically throughout the multilayer. Secondly, the choice of two different heavy metals A and B sandwiching each magnetic layer potentially allows tuning the amplitude of interfacial chiral interaction, notably to increase it drastically if the two heavy materials induce interfacial chiral interactions of opposite symmetries and parallel D when they are on opposite sides of the magnetic layer. As we will see, our multilayers present bubble-like local configurations characterized by a reversed magnetization in the center [15]. The first important conclusion that can be draught is that the presence of these bubble-like configurations cannot be accounted for by dipolar interaction but only by the large DMI of our asymmetric multilayered systems. We will then show that the size of the bubble-like configurations and its field dependence is consistent with micromagnetic simulations of skyrmionic states induced by large DMI. This stabilization in multilayered films and at room temperature of individual magnetic skyrmions induced by chiral interactions represents the most important result of this work. Given the important features of magnetic skyrmions associated to their topological nature compared to other magnetic configurations (size, easier current-induced propagation, smaller sensitivity to defects, ...), these advances represent a definite breakthrough in the research on single skyrmion towards the potential development of skyrmion-based devices. Multilayers with additive chiral interaction at interfaces with heavy metal layers The prototype of the multilayered systems in which we aim to investigate the magnetic configuration is presented in Fig. 1A. The samples grown by sputtering deposition are stacks of 10 Ir|Co|Pt trilayers, each trilayer being composed of a 0.6 nm thick Co layer sandwiched between 1 nm of Ir and 1 nm of Pt: Pt10|Co0.6|Pt1|{Ir1|Co0.6|Pt1}10|Pt3. The choice of the two heavy materials i.e. Pt and Ir, has been guided by recent experiments of asymmetric domain wall propagation [16, 17] and recent ab initio predictions of opposite DMI for Co on Ir and Co on Pt [18], which corresponds to additive DMI at the two interfaces of the Co layers sandwiched between Ir and Pt. In addition to these Ir|Co|Pt asymmetric multilayers, we also prepared reference samples of Pt|Co|Pt with symmetric interfaces, in which one can expect a cancellation, at least partial, of the interfacial DMI [19]. Details about the growth conditions and the characterization of their magnetic properties are presented in the supplementary materials [14]. From SQUID measurements on our multilayers, we deduce a magnetization at saturation of 0.96 ± 0.10 MA/m (1.6 ± 0.2 MA/m) and an effective anisotropy of 0.17 ± 0.04 MJ/m (0.25 ± 0.07 MJ/m) for the Ir|Co|Pt (Pt|Co|Pt) system. These magnetic parameters have been used for micromagnetic simulations of their magnetic configuration [20, 21]. We present here simulations for the case of Co layers completely decoupled. The case taking into account the proximity-induced moment [22, 23] in Pt and Ir is detailed in the supplementary materials and lead to even larger estimation of the DMI amplitude [14]. Fig. 1. Interfacial Dzyaloshinskii-Moriya interaction (DMI) in asymmetric magnetic multilayers. (A) The DMI for two magnetic atoms close to an atom with large spin-orbit coupling in the Fert-Levy picture [13]. Zoom on a single trilayer composed of a magnetic layer (gray) sandwiched between two different heavy metals A (blue) and B (green) that induce the same chirality (same orientation of D) when A is below and B above the magnetic layer, and finally on an asymmetric multilayer made of several repetition of the trilayer. (B) Sketch of an isolated hedgehog skyrmion stabilized by interfacial chiral interaction in a magnetic thin film. (C-F) 800×800 nm out-of-plane magnetization (mz) map obtained by Scanning Transmission X-ray Microscopy (STXM) on a {Ir|Co|Pt}10 multilayer at room temperature for applied out-of-plane magnetic fields of 8 (C), 38 (D), 73 (E) and 83 mT (F). (G) Experimental dichroic signal through a magnetic circular domain (skyrmion) as observed at 22 mT (black dots). The corresponding STXM 360×360 nm image is in inset. The blue dashed curve is the magnetization profile of an ideal 30 nm-radius skyrmion and the red curve derives from the model described in the text. (H) Same type of data at 58 mT and corresponding simulation of 20 nm-radius skyrmion. The dichroic signal is not reversed due to the limited resolution of the STXM [14]. Magnetization mapping in asymetric multilayers: Bubbles or skyrmions? In order to map the distribution of the vertical component of the magnetization in our Ir|Co|Pt multilayers and to follow its evolution as a function of the external perpendicular field, we have performed Scanning Transmission X-ray Microscopy (STXM) experiments on samples grown on Si3N4 membranes by measuring the dichroic signal at Co L3-edge [14]. In Fig. 1C-F, we display a series of images obtained at different perpendicular field values. After saturation at large negative field, we observe a domain configuration (Fig. 1C) at low positive field that combines some worm-shape domains together with other domains having almost a circular shape. Note that the magnetic contrast that we detect by STXM is an averaged value of the magnetic configuration throughout the entire multilayer. When the field is increased to μ0H⊥ = 38 mT, the magnetic domains favored by the field extend (Fig. 1D). Before re

Inverse spin Hall effect in nanometer-thick yttrium iron garnet/Pt system

High quality nanometer-thick (20u2009nm, 7u2009nm, and 4u2009nm) epitaxial Yttrium Iron Garnet (YIG) films have been grown on gadolinium gallium garnet substrates using pulsed laser deposition. The Gilbert damping coefficient for the 20u2009nm thick films is 2.3u2009× 10−4 which is the lowest value reported for sub-micrometric thick films. We demonstrate Inverse spin Hall effect (ISHE) detection of propagating spin waves using Pt. The amplitude and the lineshape of the ISHE voltage correlate well to the increase of the Gilbert damping when decreasing thickness of YIG. Spin Hall effect based loss-compensation experiments have been conducted but no change in the magnetization dynamics could be detected.

Magnetic thin-film insulator with ultra-low spin wave damping for coherent nanomagnonics

Wave control in the solid state has opened new avenues in modern information technology. Surface-acoustic-wave-based devices are found as mass market products in 100 millions of cellular phones. Spin waves (magnons) would offer a boost in todays data handling and security implementations, i.e., image processing and speech recognition. However, nanomagnonic devices realized so far suffer from the relatively short damping length in the metallic ferromagnets amounting to a few 10 micrometers typically. Here we demonstrate that nm-thick YIG films overcome the damping chasm. Using a conventional coplanar waveguide we excite a large series of short-wavelength spin waves (SWs). From the data we estimate a macroscopic of damping length of about 600 micrometers. The intrinsic damping parameter suggests even a record value about 1u2005mm allowing for magnonics-based nanotechnology with ultra-low damping. In addition, SWs at large wave vector are found to exhibit the non-reciprocal properties relevant for new concepts in nanoscale SW-based logics. We expect our results to provide the basis for coherent data processing with SWs at GHz rates and in large arrays of cellular magnetic arrays, thereby boosting the envisioned image processing and speech recognition.

Full control of the spin-wave damping in a magnetic insulator using spin-orbit torque.

A. Hamadeh, O. d’Allivy Kelly, C. Hahn, H. Meley, R. Bernard, A.H. Molpeceres, V. V. Naletov, 2, 3 M. Viret, A. Anane, V. Cros, S. O. Demokritov, J. L. Prieto, M. Muñoz, G. de Loubens, and O. Klein ∗ Service de Physique de l’État Condensé (CNRS URA 2464), CEA Saclay, 91191 Gif-sur-Yvette, France Unité Mixte de Physique CNRS/Thales and Université Paris Sud 11, 1 av. Fresnel, 91767 Palaiseau, France Institute of Physics, Kazan Federal University, Kazan 420008, Russian Federation Department of Physics, University of Muenster, 48149 Muenster, Germany Instituto de Sistemas Optoelectrónicos y Microtecnoloǵıa (UPM), Madrid 28040, Spain Instituto de Microelectrónica de Madrid (CNM, CSIC), Madrid 28760, Spain (Dated: May 30, 2014)

Room-Temperature Current-Induced Generation and Motion of sub-100 nm Skyrmions

Magnetic skyrmions are nanoscale windings of the spin configuration that hold great promise for technology due to their topology-related properties and extremely reduced sizes. After the recent observation at room temperature of sub-100 nm skyrmions stabilized by interfacial chiral interaction in magnetic multilayers, several pending questions remain to be solved, notably about the means to nucleate individual compact skyrmions or the exact nature of their motion. In this study, a method leading to the formation of magnetic skyrmions in a micrometer-sized track using homogeneous current injection is evidenced. Spin-transfer-induced motion of these small electrical-current-generated skyrmions is then demonstrated and the role of the out-of-plane magnetic field in the stabilization of the moving skyrmions is also analyzed. The results of these experimental observations of spin torque induced motion are compared to micromagnetic simulations reproducing a granular type, nonuniform magnetic multilayer in order to address the particularly important role of the magnetic inhomogeneities on the current-induced motion of sub-100 nm skyrmions for which the material grains size is comparable to the skyrmion diameter.

Origin of the spectral linewidth in nonlinear spin-transfer oscillators based on MgO tunnel junctions

We demonstrate the strong impact of the oscillator agility on the line broadening by studying spin transfer induced microwave emission in MgO-based tunnel junctions with current. The linewidth is almost not affected by decreasing the temperature. At very low currents, a strong enhancement of the linewidth at low temperature is attributed to an increase of the non linearity, probably due to the field-like torque. Finally we evidence that the noise is not dominated by thermal fluctuations but rather by the chaotization of the magnetization system induced by the spin transfer torque.

Suppression of the critical thickness threshold for conductivity at the LaAlO3/SrTiO3 interface

Perovskite materials engineered in epitaxial heterostructures have been intensely investigated during the last decade. The interface formed by an LaAlO3 thin film grown on top of a TiO2-terminated SrTiO3 substrate hosts a two-dimensional electronic system and has become the prototypical example of this field. Although controversy exists regarding some of its physical properties and their precise origin, it is universally found that conductivity only appears beyond an LaAlO3 thickness threshold of four unit cells. Here, we experimentally demonstrate that this critical thickness can be reduced to just one unit cell when a metallic film of cobalt is deposited on top of LaAlO3. First-principles calculations indicate that Co modifies the electrostatic boundary conditions and induces a charge transfer towards the Ti 3d bands, supporting the electrostatic origin of the electronic system at the LaAlO3/SrTiO3 interface. Our results expand the interest of this low-dimensional oxide system from in-plane to perpendicular transport and to the exploration of elastic and inelastic tunnel-type transport of (spin-polarized) carriers.

Approaching soft X-ray wavelengths in nanomagnet-based microwave technology.

Seven decades after the discovery of collective spin excitations in microwave-irradiated ferromagnets, there has been a rebirth of magnonics. However, magnetic nanodevices will enable smart GHz-to-THz devices at low power consumption only, if such spin waves (magnons) are generated and manipulated on the sub-100u2009nm scale. Here we show how magnons with a wavelength of a few 10u2009nm are exploited by combining the functionality of insulating yttrium iron garnet and nanodisks from different ferromagnets. We demonstrate magnonic devices at wavelengths of 88u2009nm written/read by conventional coplanar waveguides. Our microwave-to-magnon transducers are reconfigurable and thereby provide additional functionalities. The results pave the way for a multi-functional GHz technology with unprecedented miniaturization exploiting nanoscale wavelengths that are otherwise relevant for soft X-rays. Nanomagnonics integrated with broadband microwave circuitry offer applications that are wide ranging, from nanoscale microwave components to nonlinear data processing, image reconstruction and wave-based logic.

A skyrmion-based spin-torque nano-oscillator

A model for a spin-torque nano-oscillator based on the self-sustained oscillation of a magnetic skyrmion is presented. The system involves a circular nanopillar geometry comprising an ultrathin film free magnetic layer with a strong Dzyaloshinkii-Moriya interaction and a polariser layer with a vortex-like spin configuration. It is shown that spin-transfer torques due to current flow perpendicular to the film plane leads to skyrmion gyration that arises from a competition between geometric confinement due to boundary edges and the vortex-like polarisation of the spin torques. A phenomenology for such oscillations is developed and quantitative analysis using micromagnetics simulations is presented. It is also shown that weak disorder due to random anisotropy variations does not influence the main characteristics of the steady-state gyration.