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A theoretical formula is derived for the threshold current to switch a perpendicular magnetization in a ferromagnet by the spin Hall effect. The numerical simulation of the Landau-Lifshitz-Gilbert equation indicates that magnetization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomohiro Taniguchi

Trading frictions are stochastic. They are, moreover, in many instances fast-mean reverting. Here, we study how to optimally trade in a market with stochastic price impact and study approximations to the resulting optimal control problem…

Mathematical Finance · Quantitative Finance 2023-08-25 Jean-Pierre Fouque , Sebastian Jaimungal , Yuri F. Saporito

We propose to use oscillating spin currents with slowly varying frequency (chirp) to manipulate and control the magnetization dynamics in a nanomagnet. By recasting the Landau-Lifshitz-Slonczewski equation in a quantum-like two-level…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Guillaume Klughertz , Lazar Friedland , Paul-Antoine Hervieux , Giovanni Manfredi

This paper shows that the presence of two dynamical regimes, characterized by different precessional-axis, is the origin of the non-monotonic behavior of the output integrated power for large-amplitude magnetization precession driven by…

Other Condensed Matter · Physics 2009-11-13 G. Siracusano , G. Finocchio , A. La Corte , G. Consolo , L. Torres , B. Azzerboni

We develop a theory for spin transport and magnetization dynamics in a quantum-dot spin valve, i.e., two magnetic reservoirs coupled to a quantum dot. Our theory is able to take into account effects of strong correlations. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 N. M. Gergs , S. A. Bender , R. A. Duine , D. Schuricht

Understanding the magnetization switching process in ferromagnetic thin films is essential for many technological applications. We investigate the effects of periodic driving via magnetic fields on a macrospin system under explicit…

Materials Science · Physics 2022-08-16 Michael Maihöfer , Johannes Reiff , Jörg Main , Rigoberto Hernandez

Effects of an incoming spin-polarized current on a magnetic moment are explored. We found that the spin torque occurs only when the incoming spin changes as a function of time inside of the magnetic film. This implies that some…

Materials Science · Physics 2007-05-23 Wonkee Kim , F. Marsiglio

We examine a stochastic Landau-Lifshitz-Gilbert equation for a frustrated ferromagnet with competing first and second order exchange interactions exposed to deterministic and random spin transfer torques in form of transport noise. We prove…

Probability · Mathematics 2023-06-29 Beniamin Goldys , Chunxi Jiao , Christof Melcher

Electrical current manipulation of magnetization switching through spin-orbital coupling in ferromagnetic semiconductor (Ga,Mn)As Hall bar devices has been investigated. The efficiency of the current-controlled magnetization switching is…

The current-induced magnetization dynamics of a spin valve are studied using a macrospin (single domain) approximation and numerical solutions of a generalized Landau-Lifshitz-Gilbert equation. For the purpose of quantitative comparison…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jiang Xiao , A. Zangwill , M. D. Stiles

In this paper, we obtain the maximum principle for optimal controls of stochastic systems with jumps by introducing a new method of variation. The control is allowed to enter both diffusion and jump term and the control domain need not to…

Optimization and Control · Mathematics 2019-10-10 Yuanzhuo Song , Shanjian Tang , Zhen Wu

We investigate supercurrent-induced magnetization dynamics in a Josephson junction with two misaligned ferromagnetic layers, and demonstrate a variety of effects by solving numerically the Landau-Lifshitz-Gilbert equation. In particular, we…

Superconductivity · Physics 2015-05-19 Jacob Linder , Takehito Yokoyama

We investigate vortex configuration in antiferromagnetic thin discs. It is shown that the vortex acquires oscillatory dynamics with well-defined amplitude and frequency which may be controlled on demand by an alternating spin polarized…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 R. L. Silva , R. C. Silva , R. J. C. Lopes , W. A. Moura-Melo , A. R. Pereira

In this paper, we consider the stochastic optimal control problem for the interacting particle system. We obtain the stochastic maximum principle of the optimal control system by introducing a generalized backward stochastic differential…

Probability · Mathematics 2025-05-14 Andrey A. Dorogovtsev , Yuecai Han , Kateryna Hlyniana , Yuhang Li

The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A…

Optimization and Control · Mathematics 2015-09-29 Amenda Chow , Kirsten A. Morris

We consider a small itinerant ferromagnet exposed to an external magnetic field and strongly driven by a thermally induced spin current. For this model, we derive the quasi-classical equations of motion for the magnetization where the…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Tim Ludwig , Igor S. Burmistrov , Yuval Gefen , Alexander Shnirman

Picosecond switching of the staggered antiferromagnetic order is shown to be realizable through spin-transfer torques from a short current pulse. The coupled dynamics of sublattice magnetization is mapped onto a classical pendulum subject…

Mesoscale and Nanoscale Physics · Physics 2015-03-03 Ran Cheng , Matthew W. Daniels , Jian-Gang Zhu , Di Xiao

We address optimization of the spin current intensity profile needed to achieve spin torque switching of a nanomagnet. For systems with Ohmic dissipation we prove that the optimal current drives the magnetization along the trajectory, which…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Tom Dunn , Alex Kamenev

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

We discuss a spin-transfer torque device, where the role of the soft ferromagnetic layer is played by a magnetic particle or a magnetic molecule, in weak tunnel contact with two spin polarized leads. We investigate if the magnetization of…

Mesoscale and Nanoscale Physics · Physics 2015-10-19 P. Gartland , D. Davidovic
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