Article
Engineering, Electrical & Electronic
Pankaj Pathak, Dhiman Mallick
Summary: This work presents a thermally stable and self-biased straintronic nanomagnetic logic (NML) that utilizes the dipole coupling between nanomagnets. By designing elliptical nanomagnets with fixed aspect ratio within a specific thickness range, and using external voltage and dipole coupling, controlled NML operations can be achieved.
IEEE TRANSACTIONS ON MAGNETICS
(2022)
Article
Mathematics, Applied
Le Liu, Wenjing Song, Ganshan Yang
Summary: The paper discusses the inhomogeneous Landau-Lifshitz equation with nonuniform Gilbert damping term using a numerical method. A semi-discrete form of the equation is established, which is continuous in time. The temporal discretization is studied and a simple projection method is proposed to solve the problem. It is proved that the method is unconditionally stable.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Materials Science, Multidisciplinary
Guojia Cao, Wang Wang, An Du
Summary: A core-shell structure of magnetic nanoparticles with Heisenberg exchange interaction and vertical surface anisotropy has been studied. The dynamic behavior of the nanoparticle's spins was described using the Landau Lifshitz Gilbert equation, and the AC susceptibility was calculated. It was found that the system exhibits new resonance peaks in the absence of an external DC magnetic field, due to changes in the surface vertical anisotropy. The position of the resonance peaks was influenced by the applied external magnetic field and the angle between the DC field and the z-axis of the particle.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
(2023)
Article
Computer Science, Interdisciplinary Applications
Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie
Summary: In this study, a second order accurate numerical scheme is proposed and implemented for the simulation of magnetization dynamics in ferromagnetic materials with large damping parameters. The method demonstrates high efficiency and stability.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Physics, Condensed Matter
Sascha Brinker, Manuel dos Santos Dias, Samir Lounis
Summary: We propose a systematic and sequential expansion of the Landau-Lifshitz-Gilbert equation by utilizing the dependence of the Gilbert damping tensor on the angle between magnetic moments.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
Article
Mathematics, Applied
Guangwu Wang, Boling Guo
Summary: This paper investigates the regularity of the strong solution to the Landau-Lifshitz-Gilbert equation and obtains a blowup criterion for the strong solution in a multi-dimensional bounded domain with Neumann boundary condition.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Mathematics, Applied
Francois Alouges, Anne de Bouard, Benoit Merlet, Lea Nicolas
Summary: This paper establishes a homogenization theorem in a stochastic setting for two nonlinear equations, the equation of harmonic maps and the Landau-Lifschitz-Gilbert equation, based on the ideas of Zhikov and Piatnitski. These equations have strong nonlinear features and generally do not have unique solutions.
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
(2021)
Article
Physics, Multidisciplinary
V. M. Rothos, I. K. Mylonas, T. Bountis
Summary: In this paper, we study ferromagnetic dissipative systems described by the isotropic LLG equation, focusing on their spatially localized dynamical excitations. We prove the existence of dissipative soliton solutions for sufficiently small dissipation using Melnikov's theory. Furthermore, we validate our analytic results using numerical techniques of machine learning such as pseudospectral and PINN (physics-informed neural network). These spatially localized structures have been experimentally observed in magnetic systems and nano-oscillators, and theoretical and experimental studies have also found dissipative magnetic droplet solitons.
THEORETICAL AND MATHEMATICAL PHYSICS
(2023)
Article
Mathematics
Ning Jiang, Hui Liu, Yi-Long Luo
Summary: In this paper, the local-in-time existence of the evolutionary model for magnetoelasticity with finite initial energy is proven by using the nonlinear iterative approach to handle the constraint on values of the magnetization |M(t, x)| = 1 in the Landau-Lifshitz-Gilbert (LLG) equation. The evolutionary model for magnetoelasticity with zero external magnetic field is reformulated near the constant equilibrium, and a dissipative term is introduced from the elastic stress. The global well-posedness of the model is justified under small size of initial data.(c) 2023 Elsevier Inc. All rights reserved.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Engineering, Electrical & Electronic
Ali Akbar Dadjouyan, Samira Sayedsalehi, Reza Faghih Mirzaee, Somayyeh Jafarali Jassbi
Summary: The study focuses on the design of nanomagnetic conservative quantum-dot cellular automata gate, which can be used as the basic block for more complex conservative NML circuits, and the design of clocked nanomagnetic majority gate. OOMMF physical simulation tool is used for evaluation, showing correct functionality of the conservative gate at room temperature.
JOURNAL OF COMPUTATIONAL ELECTRONICS
(2021)
Article
Mathematics, Applied
Jingrun Chen, Zhiwei Sun, Yun Wang, Lei Yang
Summary: This paper investigates the model and stability of spin waves, providing the expressions of spin waves under different conditions and constructing approximate solutions with error depending quadratically on the uniform strength of the magnetic field over time.
COMMUNICATIONS IN MATHEMATICAL SCIENCES
(2021)
Article
Mathematics, Applied
M. I. C. H. E. L. E. RUGGERI
Summary: This paper focuses on the numerical approximation of the inertial Landau-Lifshitz-Gilbert equation (iLLG) and proposes and analyzes two fully discrete numerical schemes. These schemes are implicit and generate approximations that satisfy the unit-length constraint of the iLLG equation. Convergence of the approximations towards a weak solution of the problem is proven, and numerical experiments validate the theoretical results and demonstrate the applicability of the methods for simulating ultrafast magnetic processes.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
(2022)
Article
Computer Science, Information Systems
Supriyo Bandyopadhyay
Summary: The development of nanomagnetic logic has not achieved the initial expected success, despite enthusiastic proclamations, there is currently no viable commercial nanomagnetic logic chip. The article points out misconceptions, flaws in proposals, and potential challenges that may hinder progress in this field.
Article
Computer Science, Interdisciplinary Applications
Lei Yang, Jingrun Chen, Guanghui Hu
Summary: This paper presents a framework for the numerical solution of the Landau-Lifshitz-Gilbert equation based on the finite element method and implicit midpoint scheme. The computational complexity for calculating the demagnetization field is effectively reduced using a PDE approach.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Physics, Applied
Sergei Ovcharenko, Mikhail Gaponov, Alexey Klimov, Nicolas Tiercelin, Philippe Pernod, Elena Mishina, Alexander Sigov, Vladimir Preobrazhensky
Summary: We studied the dynamics of spin relaxation motion excited by a femtosecond pulse in TbCo2/FeCo multilayer structures with different thickness ratios of TbCo2 to FeCo. The main finding of this study is that the observed dynamics is attributed to the destruction and restoration of magnetic anisotropy, rather than demagnetization. Additionally, the Gilbert damping in the multilayers is found to be one order of magnitude higher than that in the constituent monolayers.
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2022)
Editorial Material
Nanoscience & Nanotechnology
Supriyo Bandyopadhyay
Review
Nanoscience & Nanotechnology
Bivas Rana, Amrit Kumar Mondal, Supriyo Bandyopadhyay, Anjan Barman
Summary: This article discusses dynamical phenomena in nanomagnets, particularly focusing on magnetization reversal and its digital applications. It then explores wave-like phenomena in nanomagnets, with an emphasis on spin waves in various nanomagnetic systems and methods for controlling magnetization dynamics in nanomagnet arrays for analog applications. The article concludes with a discussion of interesting spintronic phenomena that underlie the diverse physics observed in nanomagnet assemblies.
Review
Nanoscience & Nanotechnology
Bivas Rana, Amrit Kumar Mondal, Supriyo Bandyopadhyay, Anjan Barman
Summary: When magnets are miniaturized into nanoscale elements, they exhibit various physics phenomena and potential applications. This review discusses recent discoveries of these phenomena and their applications, highlighting the driving factors, underlying system dynamics, manipulation techniques, and specific features that can be utilized for technological advancements. The advantages and disadvantages of nanomagnet-based devices and systems are also pointed out, along with suggestions for future investigations to explore intriguing phenomena and facilitate traditional and non-traditional applications.
Article
Chemistry, Multidisciplinary
Raisa Fabiha, Jonathan Lundquist, Sudip Majumder, Erdem Topsakal, Anjan Barman, Supriyo Bandyopadhyay
Summary: This study investigates the tripartite coupling between phonons, magnons, and photons in a periodic array of elliptical magnetostrictive nanomagnets on a piezoelectric substrate to form a 2D two-phase multiferroic crystal. The phonons launch surface acoustic waves (SAW) that cause the spin-wave modes (magnons) within the nanomagnets to radiate electromagnetic waves (photons). This phonon-magnon-photon coupling is exploited to implement an extreme sub-wavelength electromagnetic antenna with significantly higher radiation efficiency and antenna gain compared to traditional antennas of the same size.
Article
Engineering, Electrical & Electronic
Walid Al Misba, Tahmid Kaisar, Dhritiman Bhattacharya, Jayasimha Atulasimha
Summary: In this study, an energy-efficient voltage-induced strain control of a domain wall in a perpendicularly magnetized nanoscale racetrack on a piezoelectric substrate is proposed to implement multi-state synapses. Micromagnetic simulations show that five-state and three-state synapses can be achieved without the need for fabricating notches, and the system has an energy consumption of approximately 1 fJ, making it attractive for energy-efficient quantized neural networks.
IEEE TRANSACTIONS ON ELECTRON DEVICES
(2022)
Article
Physics, Applied
Md. Fahim F. Chowdhury, Walid Al Misba, Md Mahadi Rajib, Alexander J. Edwards, Dhritiman Bhattacharya, Mathew S. Varghese, Joseph S. Friedman, Jayasimha Atulasimha
Summary: We demonstrate that a nanomagnet array excited by surface acoustic waves can serve as a reservoir with high memory effect and computing capability. The nanomagnet array has lower energy dissipation and is able to accurately predict time series with scalability and flexibility.
APPLIED PHYSICS LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Rahnuma Rahman, Supriyo Bandyopadhyay
Summary: This paper proposes a compact and nonvolatile nanomagnetic nonbinary matrix multiplier that serves as a useful hardware accelerator for machine learning and artificial intelligence tasks. It can be embedded in non-von-Neumann architectures and reduces reliance on the cloud, making AI more resilient against cyberattacks.
IEEE TRANSACTIONS ON ELECTRON DEVICES
(2022)
Article
Physics, Condensed Matter
Raisa Fabiha, Supriyo Bandyopadhyay
Summary: This study demonstrates that in spin polarized electron transport on a real topological insulator surface, a local spin imbalance is formed when electrons reflect from a line defect, resulting in a spin current and the formation of a microscopic electric dipole. This affects the electrical resistivity of the medium and leads to spatially varying local magnetic fields.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2023)
Article
Physics, Multidisciplinary
Mohamad Niknam, Md. Fahim F. Chowdhury, Md Mahadi Rajib, Walid Al Misba, Robert N. Schwartz, Kang L. Wang, Jayasimha Atulasimha, Louis-S. Bouchard
Summary: This paper introduces a technique for addressing spin qubits using voltage control of nanoscale magnetism. The authors demonstrate that by tuning the frequency and phase, high-fidelity single-qubit quantum gate operations can be achieved with low energy consumption and lossless magnetic field control.
COMMUNICATIONS PHYSICS
(2022)
Article
Chemistry, Multidisciplinary
Sreya Pal, Pratap Kumar Pal, Raisa Fabiha, Supriyo Bandyopadhyay, Anjan Barman
Summary: This research reports a new phenomenon involving the coupling between spin waves and hybridized phonon-plasmon waves in a nanostructured media. The interaction leads to the emergence of acousto-plasmo-spin waves that exhibit a wide frequency range. The study of this phenomenon provides insights into nonlinear coupling, parametric amplification, and frequency comb physics, and suggests the potential for designing novel active metamaterials with enhanced response and frequency mixing capabilities.
ADVANCED FUNCTIONAL MATERIALS
(2023)
Article
Engineering, Electrical & Electronic
Rahnuma Rahman, Supriyo Bandyopadhyay
Summary: Binary stochastic neurons (BSNs) are excellent activators for machine learning. Low or zero-energy-barrier nanomagnets (LBMs) with slight geometric variations can affect the activation function, pinning current and response time of BSNs, leading to large device-to-device variation and impacting integration.
IEEE TRANSACTIONS ON NANOTECHNOLOGY
(2023)
Article
Materials Science, Multidisciplinary
Supriyo Bandyopadhyay
Summary: The concept of spin field effect transistor, which manipulates the spin degree of freedom instead of charge degree of freedom, has been studied for three decades. A new concept introduces a spin field effect transistor that does not rely on spin-orbit interaction but uses a strained topological insulator thin film to elicit transistor function by modifying the energy dispersion relation and rotating the spins of the carriers. Although it may not be useful as a switch, it has potential applications such as an energy-efficient single-transistor frequency multiplier.
MATERIALS FOR QUANTUM TECHNOLOGY
(2023)
Article
Engineering, Electrical & Electronic
Rahnuma Rahman, Supriyo Bandyopadhyay
Summary: The study demonstrates that using dilute magnetic semiconductors with smaller saturation magnetization in nanomagnets can significantly reduce the variability in response times of BSNs, thereby alleviating device-to-device variation in large-scale neuromorphic systems.
IEEE MAGNETICS LETTERS
(2022)
Article
Computer Science, Information Systems
Walid Al Misba, Mark Lozano, Damien Querlioz, Jayasimha Atulasimha
Summary: We demonstrate that extremely low resolution quantized synapses with large stochastic variations in synaptic weights can achieve high testing accuracies comparable to Deep Neural Networks (DNNs) with floating-point precision synaptic weights. We propose in-situ and ex-situ training algorithms based on modified algorithms and train 5-layer DNNs on MNIST dataset using 2-, 3- and 5-state DW devices as synapses. The highest inference accuracies obtained after in-situ and ex-situ training are close to 96.67% and 96.63% respectively, which is similar to the baseline accuracy of 97.1% obtained from DNN with floating-point precision weights. Our proposed approach demonstrates potential energy savings of at least two orders of magnitude compared to the floating-point approach implemented in CMOS. It is particularly attractive for low power intelligent edge devices.
Proceedings Paper
Automation & Control Systems
Naimul Hassan, Alexander J. Edwards, Dhritiman Bhattacharya, Mustafa M. Shihab, Varun Venkat, Peng Zhou, Xuan Hu, Shamik Kundu, Abraham P. Kuruvila, Kanad Basu, Jayasimha Atulasimha, Yiorgos Makris, Joseph S. Friedman
Summary: This study proposes a logic locking scheme utilizing the non-volatility of nanomagnet logic to achieve both physical and algorithmic security. Polymorphic NML minority gates protect the obfuscation key against algorithmic attacks, while a strain-inducing shield surrounding the nanomagnets provides physical security through a self-destruction mechanism.
2021 58TH ACM/IEEE DESIGN AUTOMATION CONFERENCE (DAC)
(2021)