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Journal articles on the topic 'Micromagnetic solver'

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Author: Grafiati

Published: 14 March 2023

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1

Shaojing Li, Boris Livshitz, and Vitaliy Lomakin. "Graphics Processing Unit Accelerated $O(N)$ Micromagnetic Solver." IEEE Transactions on Magnetics 46, no. 6 (June 2010): 2373–75. http://dx.doi.org/10.1109/tmag.2010.2043504.

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2

Ferrero, Riccardo, and Alessandra Manzin. "Adaptive geometric integration applied to a 3D micromagnetic solver." Journal of Magnetism and Magnetic Materials 518 (January 2021): 167409. http://dx.doi.org/10.1016/j.jmmm.2020.167409.

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3

Manzin, Alessandra, and Riccardo Ferrero. "A 2.5D micromagnetic solver for randomly distributed magnetic thin objects." Journal of Magnetism and Magnetic Materials 492 (December 2019): 165649. http://dx.doi.org/10.1016/j.jmmm.2019.165649.

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4

Bottauscio, O., and A. Manzin. "Parallelized micromagnetic solver for the efficient simulation of large patterned magnetic nanostructures." Journal of Applied Physics 115, no. 17 (May 7, 2014): 17D122. http://dx.doi.org/10.1063/1.4862379.

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5

Couture, S., X. Wang, A. Goncharov, and V. Lomakin. "A coupled micromagnetic-Maxwell equations solver based on the finite element method." Journal of Magnetism and Magnetic Materials 493 (January 2020): 165672. http://dx.doi.org/10.1016/j.jmmm.2019.165672.

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6

Venugopal, Aneesh, Tao Qu, and R. H. Victora. "Parallel Computations Based Micromagnetic Solver and Analysis Tools for Magnon-Microwave Interaction Studies." IEEE Journal on Multiscale and Multiphysics Computational Techniques 6 (2021): 239–48. http://dx.doi.org/10.1109/jmmct.2022.3144432.

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7

Manzin, Alessandra, and Oriano Bottauscio. "A Micromagnetic Solver for Large-Scale Patterned Media Based on Non-Structured Meshing." IEEE Transactions on Magnetics 48, no. 11 (November 2012): 2789–92. http://dx.doi.org/10.1109/tmag.2012.2195648.

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8

Lopez-Diaz, L., J. Eicke, and E. Della Torre. "A comparison of micromagnetic solvers." IEEE Transactions on Magnetics 35, no. 3 (May 1999): 1207–10. http://dx.doi.org/10.1109/20.767166.

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9

Scholz, Werner, Josef Fidler, Thomas Schrefl, Dieter Suess, Rok Dittrich, Hermann Forster, and Vassilios Tsiantos. "Scalable parallel micromagnetic solvers for magnetic nanostructures." Computational Materials Science 28, no. 2 (October 2003): 366–83. http://dx.doi.org/10.1016/s0927-0256(03)00119-8.

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10

Fu, Sidi, Weilong Cui, Matthew Hu, Ruinan Chang, Michael J. Donahue, and Vitaliy Lomakin. "Finite-Difference Micromagnetic Solvers With the Object-Oriented Micromagnetic Framework on Graphics Processing Units." IEEE Transactions on Magnetics 52, no. 4 (April 2016): 1–9. http://dx.doi.org/10.1109/tmag.2015.2503262.

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11

Yao, Zhi, Revathi Jambunathan, Yadong Zeng, and Andrew Nonaka. "A massively parallel time-domain coupled electrodynamics–micromagnetics solver." International Journal of High Performance Computing Applications 36, no. 2 (January 15, 2022): 167–81. http://dx.doi.org/10.1177/10943420211057906.

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We present a high-performance coupled electrodynamics–micromagnetics solver for full physical modeling of signals in microelectronic circuitry. The overall strategy couples a finite-difference time-domain approach for Maxwell’s equations to a magnetization model described by the Landau–Lifshitz–Gilbert equation. The algorithm is implemented in the Exascale Computing Project software framework, AMReX, which provides effective scalability on manycore and GPU-based supercomputing architectures. Furthermore, the code leverages ongoing developments of the Exascale Application Code, WarpX, which is primarily being developed for plasma wakefield accelerator modeling. Our temporal coupling scheme provides second-order accuracy in space and time by combining the integration steps for the magnetic field and magnetization into an iterative sub-step that includes a trapezoidal temporal discretization for the magnetization. The performance of the algorithm is demonstrated by the excellent scaling results on NERSC multicore and GPU systems, with a significant (59×) speedup on the GPU using a node-by-node comparison. We demonstrate the utility of our code by performing simulations of an electromagnetic waveguide and a magnetically tunable filter.

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12

Insinga, A. R., E. Blaabjerg Poulsen, K. K. Nielsen, and R. Bjørk. "A direct method to solve quasistatic micromagnetic problems." Journal of Magnetism and Magnetic Materials 510 (September 2020): 166900. http://dx.doi.org/10.1016/j.jmmm.2020.166900.

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13

Chang, R., M. A. Escobar, S. Li, M. V. Lubarda, and V. Lomakin. "Accurate evaluation of exchange fields in finite element micromagnetic solvers." Journal of Applied Physics 111, no. 7 (April 2012): 07D129. http://dx.doi.org/10.1063/1.3679457.

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14

Yao, Zhi, Rustu Umut Tok, Tatsuo Itoh, and Yuanxun Ethan Wang. "A Multiscale Unconditionally Stable Time-Domain (MUST) Solver Unifying Electrodynamics and Micromagnetics." IEEE Transactions on Microwave Theory and Techniques 66, no. 6 (June 2018): 2683–96. http://dx.doi.org/10.1109/tmtt.2018.2825373.

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15

Fu, Sidi, Ruinan Chang, Iana Volvach, Majd Kuteifan, Marco Menarini, and Vitaliy Lomakin. "Block Inverse Preconditioner for Implicit Time Integration in Finite Element Micromagnetic Solvers." IEEE Transactions on Magnetics 55, no. 12 (December 2019): 1–11. http://dx.doi.org/10.1109/tmag.2019.2910496.

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16

Vanderveken, Frederic, Jeroen Mulkers, Jonathan Leliaert, Bartel Van Waeyenberge, Bart Sorée, Odysseas Zografos, Florin Ciubotaru, and Christoph Adelmann. "Finite difference magnetoelastic simulator." Open Research Europe 1 (April 19, 2021): 35. http://dx.doi.org/10.12688/openreseurope.13302.1.

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We describe an extension of the micromagnetic finite difference simulation software MuMax3 to solve elasto-magneto-dynamical problems. The new module allows for numerical simulations of magnetization and displacement dynamics in magnetostrictive materials and structures, including both direct and inverse magnetostriction. The theoretical background is introduced, and the implementation of the extension is discussed. The magnetoelastic extension of MuMax3 is freely available under the GNU General Public License v3.

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17

Zivieri, Roberto, and Giancarlo Consolo. "Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures." Advances in Condensed Matter Physics 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/765709.

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Two micromagnetic tools to study the spin dynamics are reviewed. Both approaches are based upon the so-called dynamical matrix method, a hybrid micromagnetic framework used to investigate the spin-wave normal modes of confined magnetic systems. The approach which was formulated first is the Hamiltonian-based dynamical matrix method. This method, used to investigate dynamic magnetic properties of conservative systems, was originally developed for studying spin excitations in isolated magnetic nanoparticles and it has been recently generalized to study the dynamics of periodic magnetic nanoparticles. The other one, the Lagrangian-based dynamical matrix method, was formulated as an extension of the previous one in order to include also dissipative effects. Such dissipative phenomena are associated not only to intrinsic but also to extrinsic damping caused by injection of a spin current in the form of spin-transfer torque. This method is very accurate in identifying spin modes that become unstable under the action of a spin current. The analytical development of the system of the linearized equations of motion leads to a complex generalized Hermitian eigenvalue problem in the Hamiltonian dynamical matrix method and to a non-Hermitian one in the Lagrangian approach. In both cases, such systems have to be solved numerically.

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18

Skomski, R., B. Balasubramanian, A. Ullah, C. Binek, and D. J. Sellmyer. "Berry-phase interpretation of thin-film micromagnetism." AIP Advances 12, no. 3 (March 1, 2022): 035341. http://dx.doi.org/10.1063/9.0000332.

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Magnetic flux densities ( B-fields) and field intensities ( H-fields) in thin films are investigated from the viewpoints of Berry phase and topological Hall effect. The well-known origin of the topological Hall effect is an emergent B-field originating from the Berry phase of conduction electrons, but Maxwell’s equations predict the relevant perpendicular component Bz to be zero. This paradox is solved by treating the electrons as point-like objects in Lorentz cavities. These cavities can also be used to interpret magnetization measurements in the present and other contexts, but structural and magnetic inhomogeneities lead to major modifications of the Lorentz-hole picture.

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19

Yue, Kun, Yizhou Liu, Roger K. Lake, and Alice C. Parker. "A brain-plausible neuromorphic on-the-fly learning system implemented with magnetic domain wall analog memristors." Science Advances 5, no. 4 (April 2019): eaau8170. http://dx.doi.org/10.1126/sciadv.aau8170.

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Neuromorphic computing is an approach to efficiently solve complicated learning and cognition problems like the human brain using electronics. To efficiently implement the functionality of biological neurons, nanodevices and their implementations in circuits are exploited. Here, we describe a general-purpose spiking neuromorphic system that can solve on-the-fly learning problems, based on magnetic domain wall analog memristors (MAMs) that exhibit many different states with persistence over the lifetime of the device. The research includes micromagnetic and SPICE modeling of the MAM, CMOS neuromorphic analog circuit design of synapses incorporating the MAM, and the design of hybrid CMOS/MAM spiking neuronal networks in which the MAM provides variable synapse strength with persistence. Using this neuronal neuromorphic system, simulations show that the MAM-boosted neuromorphic system can achieve persistence, can demonstrate deterministic fast on-the-fly learning with the potential for reduced circuitry complexity, and can provide increased capabilities over an all-CMOS implementation.

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20

Wetterau, Lukas, Claas Abert, Dieter Suess, Manfred Albrecht, and Bernd Witzigmann. "Micromagnetic Simulations of Submicron Vortex Structures for the Detection of Superparamagnetic Labels." Sensors 20, no. 20 (October 15, 2020): 5819. http://dx.doi.org/10.3390/s20205819.

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We present a numerical investigation on the detection of superparamagnetic labels using a giant magnetoresistance (GMR) vortex structure. For this purpose, the Landau–Lifshitz–Gilbert equation was solved numerically applying an external z-field for the activation of the superparamagnetic label. Initially, the free layer’s magnetization change due to the stray field of the label is simulated. The electric response of the GMR sensor is calculated by applying a self-consistent spin-diffusion model to the precomputed magnetization configurations. It is shown that the soft-magnetic free layer reacts on the stray field of the label by shifting the magnetic vortex orthogonally to the shift direction of the label. As a consequence, the electric potential of the GMR sensor changes significantly for label shifts parallel or antiparallel to the pinning of the fixed layer. Depending on the label size and its distance to the sensor, the GMR sensor responds, changing the electric potential from 26.6 mV to 28.3 mV.

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21

Wannawong, Naruemon, Warunee Tipcharoen, and Arkom Kaewrawang. "Microwave Assisted Magnetization Reversal on Exchange Coupled Composite Media." Advanced Materials Research 931-932 (May 2014): 1265–69. http://dx.doi.org/10.4028/www.scientific.net/amr.931-932.1265.

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To overcome superparamagnetic limit, microwave assisted magnetic recording (MAMR) is one interesting magnetic recording technology. Therefore, the effect of microwave on magnetization reversal in media should be analyzed. In this work, we propose the MAMR to decrease switching field (coercivity, Hsw) in exchange coupled composite (ECC) media by using the micromagnetic simulation based on the Landau - Lifshitz - Gilbert equation. The Hsw of single layer and ECC media without microwave field is 110.90 and 7.7 kOe, respectively. When the oscillating microwave field is added, Hsw of single layer media with microwave frequency of 2.5 - 40 GHz is lower than 110.90 kOe. Likewise, Hsw of ECC media with microwave frequency of 5 - 16 GHz is lower than 7.7 kOe and has the lowest value of 4.9 kOe at frequency of 10 GHz. The results from this work lead to solve superparamagnetic limit and increase areal density in hard disk drive.

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22

Tipcharoen, Warunee, Arkom Kaewrawang, Apirat Siritaratiwat, and Kittipong Tonmitra. "The Effects of Magnetic Properties of L1₀-FePt/Fe Based Exchange Coupled Composite Media on Switching Field." Advanced Materials Research 931-932 (May 2014): 271–75. http://dx.doi.org/10.4028/www.scientific.net/amr.931-932.271.

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The L10-FePt/Fe based exchange coupled composite (ECC) bilayer media is one candidate to extend the areal density of magnetic recording system and solve writability issue in trilemma. L10-FePt is the great high magnetic anisotropy material. Therefore, the magnetic parameters of this material such as magnetocrystalline anisotropy constant, Ku, saturation magnetization, Ms, and exchange coupling between a soft/hard interface, are important on magnetic material properties. In this work, the effects of magnetic parameters on magnetic properties of L10-FePt/Fe based ECC bilayer media are simulated by the object oriented micromagnetic framework based on Landau-Lifshitz-Gilbert equation. The ECC bilayer media can reduce switching field, Hsw, of media lower than available writing head field. Hence, writability issues of high Ku media can be achieved. Reducing Hsw of ECC bilayer media obtains from lower Ku and higher Ms values. This work can achieve writing capability of a future magnetic recording system.

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23

Tipcharoen, Warunee, Arkom Kaewrawang, and Apirat Siritaratiwat. "Design and Micromagnetic Simulation of Fe/L10-FePt/Fe Trilayer for Exchange Coupled Composite Bit Patterned Media at Ultrahigh Areal Density." Advances in Materials Science and Engineering 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/504628.

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Exchange coupled composite bit patterned media (ECC-BPM) are one candidate to solve the trilemma issues, overcome superparamagnetic limitations, and obtain ultrahigh areal density. In this work, the ECC continuous media and ECC-BPM of Fe/L10-FePt/Fe trilayer schemes are proposed and investigated based on the Landau-Lifshitz-Gilbert equation. The switching field,Hsw, of the hard phase in the proposed continuous ECC trilayer media structure is reduced below the maximum write head field at interlayer exchange coupling between hard and soft phases,Aex, higher than 20 pJ/m and its value is lower than that for continuousL10-FePt single layer media andL10-FePt/Fe bilayer. Furthermore, theHswof the proposed ECC-BPM is lower than the maximum write head field with exchange coupling coefficient between neighboring dots of 5 pJ/m andAexover 10 pJ/m. Therefore, the proposed ECC-BPM trilayer has the highest potential and is suitable for ultrahigh areal density magnetic recording technology at ultrahigh areal density. The results of this work may be gainful idea for nanopatterning in magnetic media nanotechnology.

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24

Körber, L., A. Hempel, A. Otto, R. A. Gallardo, Y. Henry, J. Lindner, and A. Kákay. "Finite-element dynamic-matrix approach for propagating spin waves: Extension to mono- and multi-layers of arbitrary spacing and thickness." AIP Advances 12, no. 11 (November 1, 2022): 115206. http://dx.doi.org/10.1063/5.0107457.

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In our recent work [Körber et al., AIP Adv. 11, 095006 (2021)], we presented an efficient numerical method to compute dispersions and mode profiles of spin waves in waveguides with translationally invariant equilibrium magnetization. A finite-element method (FEM) allowed to model two-dimensional waveguide cross sections of arbitrary shape but only finite size. Here, we extend our FEM propagating-wave dynamic-matrix approach from finite waveguides to the important cases of infinitely extended mono- and multi-layers of arbitrary spacing and thickness. To obtain the mode profiles and frequencies, the linearized equation of the motion of magnetization is solved as an eigenvalue problem on a one-dimensional line-trace mesh, defined along the normal direction of the layers. Being an important contribution to multi-layer systems, we introduce interlayer exchange into our FEM approach. With the calculation of dipolar fields being the main focus, we also extend the previously presented plane-wave Fredkin–Koehler method to calculate the dipolar potential of spin waves in infinite layers. The major benefit of this method is that it avoids the discretization of any non-magnetic material such as non-magnetic spacers in multilayers. Therefore, the computational effort becomes independent of the spacer thicknesses. Furthermore, it keeps the resulting eigenvalue problem sparse, which, therefore, inherits a comparably low arithmetic complexity. As a validation of our method (implemented into the open-source finite-element micromagnetic package TETRAX), we present results for various systems and compare them with theoretical predictions and with established finite-difference methods. We believe this method offers an efficient and versatile tool to calculate spin-wave dispersions in layered magnetic systems.

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25

Papp, Ádám, Wolfgang Porod, and Gyorgy Csaba. "Nanoscale neural network using non-linear spin-wave interference." Nature Communications 12, no. 1 (November 5, 2021). http://dx.doi.org/10.1038/s41467-021-26711-z.

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AbstractWe demonstrate the design of a neural network hardware, where all neuromorphic computing functions, including signal routing and nonlinear activation are performed by spin-wave propagation and interference. Weights and interconnections of the network are realized by a magnetic-field pattern that is applied on the spin-wave propagating substrate and scatters the spin waves. The interference of the scattered waves creates a mapping between the wave sources and detectors. Training the neural network is equivalent to finding the field pattern that realizes the desired input-output mapping. A custom-built micromagnetic solver, based on the Pytorch machine learning framework, is used to inverse-design the scatterer. We show that the behavior of spin waves transitions from linear to nonlinear interference at high intensities and that its computational power greatly increases in the nonlinear regime. We envision small-scale, compact and low-power neural networks that perform their entire function in the spin-wave domain.

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26

Jardine, Malcolm, John Stenger, Yifan Jiang, Eline J. de Jong, Wenbo Wang, Ania C. Bleszynski Jayich, and Sergey Frolov. "Integrating micromagnets and hybrid nanowires for topological quantum computing." SciPost Physics 11, no. 5 (November 12, 2021). http://dx.doi.org/10.21468/scipostphys.11.5.090.

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Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field that should also change direction at the nanoscale. This proposal considers devices that incorporate micromagnets to address this challenge. We perform numerical simulations of stray magnetic fields from different micromagnet configurations, which are then used to solve for Majorana wavefunctions. Several devices are proposed, starting with the basic four-magnet design to align magnetic field with the nanowire and scaling up to nanowire T-junctions. The feasibility of the approach is assessed by performing magnetic imaging of prototype patterns.

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27

Bruckner, Florian, Amil Ducevic, Paul Heistracher, Claas Abert, and Dieter Suess. "Strayfield calculation for micromagnetic simulations using true periodic boundary conditions." Scientific Reports 11, no. 1 (April 28, 2021). http://dx.doi.org/10.1038/s41598-021-88541-9.

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AbstractWe present methods for calculating the strayfield in finite element and finite difference micromagnetic simulations using true periodic boundary conditions. In contrast to pseudo periodic boundary conditions, which are widely used in micromagnetic codes, the presented methods eliminate the shape anisotropy originating from the outer boundary. This is a crucial feature when studying the influence of the microstructure on the performance of composite materials, which is demonstrated by hysteresis calculations of soft magnetic structures that are operated in a closed magnetic loop configuration. The applied differential formulation is perfectly suited for the application of true periodic boundary conditions. The finite difference equations can be solved by a highly efficient Fast Fourier Transform method.

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28

Li, Panchi, Zetao Ma, Rui Du, and Jingrun Chen. "A Gauss-Seidel projection method with the minimal number of updates for the stray field in micromagnetics simulations." Discrete & Continuous Dynamical Systems - B, 2022, 0. http://dx.doi.org/10.3934/dcdsb.2022002.

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<p style='text-indent:20px;'>Magnetization dynamics in magnetic materials is often modeled by the Landau-Lifshitz equation, which is solved numerically in general. In micromagnetics simulations, the computational cost relies heavily on the time-marching scheme and the evaluation of the stray field. In this work, we propose a new method, dubbed as GSPM-BDF2, by combining the advantages of the Gauss-Seidel projection method (GSPM) and the second-order backward differentiation formula scheme (BDF2). Like GSPM, this method is first-order accurate in time and second-order accurate in space, and it is unconditionally stable with respect to the damping parameter. Remarkably, GSPM-BDF2 updates the stray field only once per time step, leading to an efficiency improvement of about <inline-formula><tex-math id="M1">\begin{document}$ 60\% $\end{document}</tex-math></inline-formula> compared with the state-of-the-art of GSPM for micromagnetics simulations. For Standard Problems #4 and #5 from National Institute of Standards and Technology, GSPM-BDF2 reduces the computational time over the popular software OOMMF by <inline-formula><tex-math id="M2">\begin{document}$ 82\% $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M3">\begin{document}$ 96\% $\end{document}</tex-math></inline-formula>, respectively. Thus, the proposed method provides a more efficient choice for micromagnetics simulations.</p>

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