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We develop a consistent semiclassical theory of spin dynamics for an isotropic ferromagnet with a spin $ S=1$ taking into consideration both bilinear and biquadratic over spin operators exchange interaction. For such non-Heisenberg magnets,…

Other Condensed Matter · Physics 2009-11-13 B. A. Ivanov , A. Yu. Galkin , R. S. Khymyn , A. Yu. Merkulov

In general, Maxwell's equations require that a wave of magnetic field be accompanied by a wave of electric field, and vice versa. In magnetic media it is possible to have waves of magnetization with negligible electric field. We discuss an…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

We discuss the dissipative diffusion-type term of the form $\mathbf{m}\times\nabla^2\partial_t\mathbf{m}$ in the phenomenological Landau-Lifshitz equation of ferromagnetic precession, which describes enhanced Gilbert damping of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yaroslav Tserkovnyak , E. M. Hankiewicz , Giovanni Vignale

The theory of localized spin-wave excitations in random-anisotropy magnets has been developed. Starting with a pure Heisenberg ferromagnet, we study the evolution of standing spin waves in a finite-size sample towards localized modes on…

Disordered Systems and Neural Networks · Physics 2023-04-11 D. A. Garanin , E. M. Chudnovsky

The field of spin hydrodynamics aims to describe magnetization dynamics from a fluid perspective. For ferromagnetic materials, there is an exact mapping between the Landau-Lifshitz equation and a set of dispersive hydrodynamic equations.…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Ezio Iacocca , Mark A. Hoefer

In the paper we obtain equations for large-scale fluctuations of the mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic) lattice of atoms with spin s >= 1 at each site. We use the…

Other Condensed Matter · Physics 2014-09-22 Julia Bernatska , Petro Holod

Energy dissipation is studied for a hard magnetic tip that scans a soft magnetic substrate. The dynamics of the atomic moments are simulated by solving the Landau-Lifshitz-Gilbert (LLG) equation numerically. The local energy currents are…

Other Condensed Matter · Physics 2011-06-27 Martin P. Magiera , Lothar Brendel , Dietrich E. Wolf , Ulrich Nowak

In this paper, nonlinear equations describing one-dimensional non-Heisenberg ferromagnetic model are studied by use of generalized coherent states in a real parameterization. Also dissipative spin wave equation for dipole and quadruple…

Strongly Correlated Electrons · Physics 2012-01-17 Khikmat Kh. Muminov , Yousef Yousefi

Second-order spin-wave expansions are used to compute the ground-state energy and sublattice magnetizations of the quantum one-dimensional Heisenberg ferrimagnet with nearest-neighbor antiferromagnetic interactions and two types of…

Strongly Correlated Electrons · Physics 2009-10-30 N. B. Ivanov

We obtain the equations of motion for a ferromagnetic Bose condensate of arbitrary spin in the long wavelength limit. We find that the magnetization of the condensate is described by a non-trivial modification of the Landau-Lifshitz…

Other Condensed Matter · Physics 2009-11-13 Austen Lamacraft

Here we report the possibility to excite ultra-short spin waves in ferromagnetic thin-films by using time-harmonic electromagnetic fields with terahertz frequency. Such ultra-fast excitation requires to include inertial effects in the…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Massimiliano d'Aquino , Salvatore Perna , Matteo Pancaldi , Riccardo Hertel , Stefano Bonetti , Claudio Serpico

We study the one-dimensional quantum Heisenberg ferromagnet with exchange couplings exhibiting long-range correlated disorder with power spectrum proportional to $1/k^{\alpha}$, where $k$ is the wave-vector of the modulations on the random…

Statistical Mechanics · Physics 2009-11-07 F. A. B. F. de Moura , M. D. Coutinho-Filho , E. P. Raposo , M. L. Lyra

Spin waves are collective excitations of magnetic systems. An attractive setting for studying long-lived spin-wave physics is the quantum Hall (QH) ferromagnet, which forms spontaneously in clean two-dimensional electron systems at low…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Di. S. Wei , Toeno van der Sar , Seung Hwan Lee , Kenji Watanabe , Takashi Taniguchi , Bertrand I. Halperin , Amir Yacoby

We calculate the effect of spin waves on the properties of finite size spin chains with a chiral spin ground state observed on bi-atomic Fe chains deposited on Iridium(001). The system is described with a Heisenberg model supplemented with…

Mesoscale and Nanoscale Physics · Physics 2015-02-09 A. Roldán-Molina , M. J. Santander , Á. S. Núñez , J. Fernández-Rossier

The Landau-Lifshitz-Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex…

Pattern Formation and Solitons · Physics 2011-01-06 M. Lakshmanan

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the…

High Energy Physics - Theory · Physics 2009-11-11 X. Bekaert , J. Mourad

We generalize the spin-wave expansion in powers of the inverse spin to time-dependent quantum spin models describing rotating magnets or magnets in time-dependent external fields. We show that in these cases, the spin operators should be…

Strongly Correlated Electrons · Physics 2012-02-23 Andreas Rückriegel , Andreas Kreisel , Peter Kopietz

We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S\geq 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial…

Mathematical Physics · Physics 2019-08-13 Michele Correggi , Alessandro Giuliani , Robert Seiringer

Spin-current is an important physical quantity in present day spintronics and it might be very usefull in the physics of quantum plasma of spinning particles. Thus it is important to have an equation of the spin-current evolution. This…

Mesoscale and Nanoscale Physics · Physics 2015-04-10 P. A. Andreev , L. S. Kuz'menkov

We construct the 1/S spin-wave expansion for double exchange ferromagnets at T=0. It is assumed that the value of Hund's rule coupling, J_H, is sufficiently large, resulting in a fully saturated, ferromagnetic half-metallic ground state. We…

Strongly Correlated Electrons · Physics 2009-10-31 D. I. Golosov