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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

When a spin-polarized current flows through a ferromagnet, the local magnetization receives a spin torque. Two consequences of this spin torque are studied. First, the uniformly magnetized ferromagnet becomes unstable if a sufficiently…

Materials Science · Physics 2015-06-25 Z. Li , J. He , S. Zhang

We derive an expression for the spin-current through a tunnel barrier in terms of many-body Green's functions. The spin current has two contributions. One can be associated with angular-momentum transfer by spin-polarized charge currents…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Matthias Braun , Jürgen König , Jan Martinek

In order to explain recent experiments reporting a motion of magnetic domain walls (DW) in nanowires carrying a current, we propose a modification of the spin transfer torque term in the Landau-Lifchitz-Gilbert equation. We show that it…

Materials Science · Physics 2015-06-24 A. Thiaville , Y. Nakatani , J. Miltat , Y Suzuki

We show that the parallel magnetic field-induced increase in the critical electron density for the Anderson transition in a strongly interacting two-dimensional electron system is caused by the effects of exchange and correlations. If the…

Strongly Correlated Electrons · Physics 2017-08-21 V. T. Dolgopolov , A. A. Shashkin , S. V. Kravchenko

The critical current needed to destabilize the magnetization of a perpendicular ferromagnet via the spin Hall effect is studied. Both the dampinglike and fieldlike torques associated with the spin current generated by the spin Hall effect…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Tomohiro Taniguchi , Seiji Mitani , Masamitsu Hayashi

Current-induced magnetization excitation is a core phenomenon for next-generation magnetic nanodevices, and has been attributed to the spin-transfer torque (STT) that originates from the transfer of the spin angular momentum between a…

Materials Science · Physics 2016-03-30 K. J. Kim , T. Moriyama , T. Koyama , D. Chiba , S. W. Lee , S. J. Lee , K. J. Lee , H. W. Lee , T. Ono

The temporal evolution of the magnetization vector of a single-domain magnetostrictive nanomagnet, subjected to in-plane stress, is studied by solving the Landau-Lifshitz-Gilbert equation. The stress is ramped up linearly in time and the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Kuntal Roy , Supriyo Bandyopadhyay , Jayasimha Atulasimha

Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) equation of a one-dimensional ferromagnet including an external magnetic field and spin-polarized electric current are found using the Hirota bilinearization…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 Andrzej Janutka

Thermal-bias-induced spin angular momentum transfer between a paramagnetic metal and ferromagnetic insulator is studied theoretically based on the stochastic Landau-Lifshitz-Gilbert (LLG) phenomenology. Magnons in the ferromagnet establish…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Silas Hoffman , Koji Sato , Yaroslav Tserkovnyak

In a ferromagnet/heavy-metal bilayer device with strong spin Hall effect an in-plane current excites magnetic dynamics through spin torque. We analyze bilayers with perpendicular magnetization and calculate three-dimensional phase diagrams…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Shu Yan , Ya. B. Bazaliy

The spin torque switching rate of an in-plane magnetized system in the presence of an applied field is derived by solving the Fokker-Planck equation. It is found that three scaling currents are necessary to describe the current dependence…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 Tomohiro Taniguchi , Hiroshi Imamura

We study the dynamics of the spiral magnet under the charge current by solving the Landau-Lifshitz-Gilbert equation numerically. In the steady state, the current ${\vec j}$ induces (i) the parallel shift of the spiral pattern with velocity…

Strongly Correlated Electrons · Physics 2008-07-21 Kohei Goto , Hosho Katsura , Naoto Nagaosa

We present an extension to simple s-d models, aiming at simulating ultrafast magnetization dynamics and spin transport in metallic heterostructures. In particular, we consider an alternative spin dissipation channel due to a finite exchange…

Materials Science · Physics 2023-06-14 Quentin Remy

We consider the general Landau-Lifshitz-Gilbert theory underlying the magnetization dynamics of a macrospin magnet subject to spin-torque effects and thermal fluctuations. Thermally activated dynamical properties are analyzed by averaging…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 Daniele Pinna , Andrew D. Kent , Daniel L. Stein

A vortex-antivortex dipole can be generated due to current with in-plane spin-polarization, flowing into a magnetic element, which then behaves as a spin transfer oscillator. Its dynamics is analyzed using the Landau-Lifshitz equation…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Stavros Komineas

The critical current of the spin transfer torque-driven magnetization dynamics was studied by taking into account both spin pumping and the finite penetration depth of the transverse spin current. We successfully reproduced the recent…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tomohiro Taniguchi , Hiroshi Imamura

The linear response of itinerant transition metal ferromagnets to transverse magnetic fields is studied in a self-consistent adiabatic local-density approximation. The susceptibility is calculated from a microscopic Hamiltonian, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hans Joakim Skadsem , Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

A complete set of the generalized drift-diffusion equations for a coupled charge and spin dynamics in ferromagnets in the presence of extrinsic spin-orbit coupling is derived from the quantum kinetic approach, covering major transport…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 C. O. Pauyac , M. Chshiev , A. Manchon , S. A. Nikolaev

Switching of the direction of the magnetic moment in a nanomagnet is studied within a modified Slonczewski's model that permits torsional oscillations of the magnet. We show that the latter may inhibit or assist the magnetization switching,…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Liufei Cai , Reem Jaafar , Eugene M. Chudnovsky