Intrinsic Localized Modes in Quantum Ferromagnetic XXZ Chains in an Oblique Magnetic Field

A semiclassical study of intrinsic localized spin-wave modes in a one-dimensional quantum ferromagnetic XXZ chain in an oblique magnetic field is presented in this paper. We quantize the model Hamiltonian by introducing the Dyson-Maleev transformation, and adopt the coherent state representation as the basic representation of the system. By means of the method of multiple scales combined with a quasidiscreteness approximation, the equation of motion for the coherent-state amplitude can be reduced to the standard nonlinear Schrödinger equation. It is found that, at the center of the Brillouin zone, when θ < θ _c a bright intrinsic localized spin-wave mode appears below the bottom of the magnon frequency band and when θ > θ _c a dark intrinsic localized spin-wave resonance mode can occur above the bottom of the magnon frequency band. In other words, the switch between the bright and dark intrinsic localized spin-wave modes can be controlled via varying the angle of the magnetic field. This result has potential applications in quantum information storage. In addition, we find that, at the boundary of the Brillouin zone, the system can only produce a dark intrinsic localized spin-wave mode, whose eigenfrequency is above the upper of the magnon frequency band.     

具有格点各向异性的一维铁磁链中的量子孤子和内禀局域模(英文)

基于Hartree-Fock方法和多标度方法,我们考察了具有格点各向异性的一维铁磁链中的量子孤子和内禀局域模,量子磁振子的波函数由量子包络孤子来描述.在布里渊区边界,量子包络孤子变成了量子内禀局域模,它的量子本征频率在简谐波带的顶部上方,量子磁振子主要集中在中心位置j=j0的附近.     

在一维均匀铁磁链中磁振动的内禀局域模

利用多标度方法和准离散近似,我们考察了在一维均匀铁磁链中磁振动的内禀局域模; 结果表明磁振动的内禀局域模在许多方面都与晶格振动的内禀局域模相类似;它们是近邻自旋之间非线性相互作用的结果.这种内禀局域模的存在并没有破坏系统的平移对称性,它们能在任何晶格位被激发.它们的量子本征频率在简谐磁振动频带的上方.     

Leggett’s modes in magnetic systems with Jahn–Teller distortion

Leggett’s mode is a collective excitation corresponding to the oscillation of the relative phase of the order parameters in a two band superconductor, with frequency proportional to interband coupling. We report on the existence of modes, similar to Leggett’s mode, in magnetic systems with Jahn–Teller distortion. The minimal Kugel–Khomskii model, which describes simultaneously both the spin and the orbital order, is studied. The dynamical degrees of freedom are spin-s$s$ operators of localized spins and pseudospin-τ$\tau$ operators, which respond to the orbital degeneracy and satisfy the similar commutation relation with those of the spin operators. In the case of “G-type antiferro” spin and pseudospin order the system possesses two antiferromagnetic magnons with equal spin-wave velocities and two Leggett’s modes with equal gaps proportional to the square root of the spin–pseudospin interaction constant. In the case of “ferro” spin and pseudospin order the system possesses one ferromagnetic magnon and one Leggett’s mode with gap proportional to the spin–pseudospin interaction constant. We conclude that Leggett’s modes, in the spectrum of the magnetic systems with Jahn–Teller distortion, are generic features of these systems.     

Magnon energy gap in a four-layer ferromagnetic superlattice

The magnon energy band in a four-layer ferromagnetic superlattice is studied by using the linear spin-wave approach and Green＇s function technique. It is found that three modulated energy gaps exist in the magnon energy band along Kx direction perpendicular to the superlattice plane. The spin quantum numbers and the interlayer exchange couplings all affect the three energy gaps. The magnon energy gaps of the four-layer ferromagnetic superlattice are different from those of the three-layer one. For the four-layer ferromagnetic superlattice, the disappearance of the magnon energy gaps △ω12, △ω23 and △ω34 all correlates with the symmetry of this system. The zero energy gap △ω23 correlates with the symmetry of interlayer exchange couplings, while the vanishing of the magnon energy gaps △ω12 and △ω34 corresponds to a translational symmetry of x-direction in the lattice. When the parameters of the system deviate from these symmetries, the three energy gaps will increase.     

Microscopic spin-wave theory for yttrium-iron garnet films

Motivated by recent experiments on thin films of the ferromagnetic insulator yttrium-iron garnet (YIG), we have developed an efficient microscopic approach to calculate the spin-wave spectra of these systems. We model the experimentally relevant magnon band of YIG using an effective quantum Heisenberg model on a cubic lattice with ferromagnetic nearest neighbour exchange and long-range dipole-dipole interactions. After a bosonization of the spin degrees of freedom via a Holstein-Primakoff transformation and a truncation at quadratic order in the bosons, we obtain the spin-wave spectra for experimentally relevant parameters without further approximation by numerical diagonalization, using efficient Ewald summation techniques to carry out the dipolar sums. We compare our numerical results with two different analytic approximations and with predictions based on the phenomenological Landau-Lifshitz equation.     

Spin wave mode excited by spin-polarized current in a magnetic nanocontact is a standing self-localized wave bullet

We demonstrate that the lowest threshold of spin-wave excitation in an in-plane magnetized magnetic nanocontact driven by spin-polarized current is achieved for a nonlinear self-localized spin-wave mode-standing spin-wave bullet--stabilized by current-induced nonlinear dissipation. This nonlinear mode has a nonpropagating evanescent character, is localized in the region comparable with the contact radius, and has a frequency that is lower than the frequency of the linear ferromagnetic resonance. The threshold current and generated frequency at the threshold theoretically calculated for this mode are in quantitative agreement with experiment.     

一维更键Heisenberg铁磁链间隙非线性元激发

对于一维更键铁磁链Heisenberg模型，在一级近似下：1）存在磁间隙孤子（振动频率位于磁频谱间隙内）和响应扭结（振动频率位于磁频谱内）；2）内禀局域模（振动频率位于所有磁频谱带上方）是不可能存在的． 关键词：     

Magnons in a square bar

We present a theoretical investigation of magnon excitations within a simple cubic, ferromagnetic crystal bar of square cross section formed by the intersection of [100] surfaces. The eigenfrequency spectrum for spin waves in the bulk, and localized at the surfaces and edges of the bar is obtained and examined in the presence of dipolar, and nearest and next nearest neighbor exchange spin-spin interactions, for values of the one-dimensional wavevector extending form the origin to the boundary of the one-dimensional Brillouin zone for the bar. The modes obtained are wavelike in the direction parallel to the bar axis. The localization of the modes is determined from an examination of their eigenvectors.     

A localized magnon mode in the extended Wolff-Clogston model

The Wolff-Clogston model for a dilute alloy with interactions between electrons in the host metal is considered. A localized magnon mode is suggested to appear above the magnon band for a fcc structure, provided the impurity is “less magnetic” (δU<0) than a strongly ferromagnetic host.     

Formation of envelope solitons of spin-wave packets propagating in thin-film magnon crystals

The formation of light envelope solitons has been experimentally observed under the pulsed excitation and propagation of radio-frequency spin-wave packets in a magnon crystal, a periodic magnetic film structure. The magnon crystal has been fabricated from a thin single-crystal yttrium iron garnet (YIG) film. The envelope solitons have been excited at frequencies corresponding to the edges of the Bragg-resonance-induced band gaps of the spin-wave spectrum of the magnon crystal. A theoretical explanation of the observed phenomenon has been proposed with the use of the numerical simulation of the formation of solitons based on the nonlinear Schrödinger equation.     

Two-Soliton Bound States in a Heisenherg Spin Chain

An inhomogeneous Heisenberg spin Hamiltonian with single ion anisotropy is used to investigate the nonlinear excitations in ferromagnetic chain. By means of the Holstein-Primakoff transformation and Glauber's coherent-state representation, the equation of motion for anni-hilation operator a(j) is reduced to a nonlinear Schrödinger-like equation in the semiclassical approximation and the long wave approximation. For a homogeneous system, the exact and explicitly single soliton (localized magnon state) and two-magnon bound state solutions are Given by the inverse scattering transform.     

Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain

By use of the Hartree approximation and the method of multiple scales, we investigate quantum solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain. It is shown that there exist solitons of two different quantum frequency bands: i.e., magnetic optical solitons and acoustic solitons. At the boundary of the Brillouin zone, these solitons become quantum intrinsic localized modes: their quantum eigenfrequencies are below the bottom of the harmonic optical frequency band and above the top of the harmonic acoustic frequency band.     

Random phase approximation of the spin-wave excitation for quasi-one-dimensional magnetic polymer

Based on a theoretical model proposed for quasi-one-dimensional organic polymer ferromagnets, the ground state and low-lying magnetic excitation are studied. Within Hartree-Fock approximation, the ground state of the system is shown to be a stable ferromagnetic state due to the electron-electron correlation and topological structure of the system. The random-phase approximation is employed to explore the magnon excitation and the excitation spectrum is obtained, including an acoustic mode and four optical modes. It is found that the acoustic mode possesses the characteristic of the ferromagnetic magnon. Received 9 July 1999     

Frequency in Middle of Magnon Band Gap in a Layered Ferromagnetic Superlattice

The frequency in middle of magnon energy band in a five-layer ferromagnetic superlattice is studied by using the linear spin-wave approach and Green's function technique. It is found that four energy gaps and corresponding four frequencie in middle of energy gaps exist in the magnon band along K_x direction perpendicular to the superlattice plane. The spin quantum numbersand the interlayer exchange couplings all affect the four frequencies in middle of the energy gaps. When all interlayer exchange couplings are same, the effect of spin quantum numbers on the frequency ω_g1 in middle of the energy gap Δω₁₂ is complicated, and the frequency ω_g1 depends on the match of spin quantum numbers in each layer. Meanwhile, the frequencies ω_g2, ω_g3, and ω_g4 in middle of other energy gaps increase monotonously with increasing spin quantum numbers. When the spin quantum numbersin each layer are same, the frequencies ω_g1, ω_g2, ω_g3, and ω_g4 all increasemonotonously with increasing interlayer exchange couplings.     

Magnon modes localized on defects in a two-dimensional array of magnetic microparticles with transverse anisotropy

The high-frequency properties of planar arrays of small ferromagnetic particles with point or linear defects have been investigated. The limiting cases of defects with localized lattice imperfections and with a long-range interaction caused by the magnetic dipole–dipole interaction have been considered. General conditions of the emergence of magnon modes localized on defects of various natures have been found. These conditions for an attractive defect differ considerably from those known in quantum mechanics for a particle localized in a potential well.     

光子晶体局域缺陷模及耦合特性研究

用超胞平面波展开法计算了二维正方格子介质柱光子晶体缺陷模,系统模拟了在改变缺陷模数目和缺陷模之间的距离及在不同耦合方向等情况下的耦合特性。计算结果表明：局域缺陷模之间的耦合所产生分裂的缺陷模式频率随着缺陷之间的距离而发生变化．当缺陷之间距离增加时,缺陷模之间耦合变得越来越弱且奇模和偶模交替变化;随着耦合缺陷点数目增加,缺陷模在光子带隙内形成一个缺陷带;当平面波平行于缺陷模耦合方向入射时．可以同时激发奇模和偶模．当入射平面波垂直于耦合方向时．仅产生偶模;沿对角线方向耦合的定域化的缺陷模电磁场快速衰减使得那些方向每一个单谐振腔局域光场与它邻近的谐振腔不发生耦合,其本征频率与波矢无关。     

Dynamics of Magnetic Skyrmions in Nanodots

Bloch and Neel magnetic skyrmions have been studied in systems of confined geometry (nanodots, a linear array of nanodots). The spectra of low- and high-frequency excitation modes of a skyrmion state have been calculated. It has been shown that skyrmion spectrum asymmetry, namely, the characteristic difference between the frequencies of the azimuthal modes of the azimuthal skyrmion modes rotating clockwise and counterclockwise, is associated with asymmetry in the magnetization profiles of high-frequency spin waves propagating on the background of a skyrmion state in a nanodot. The low-frequency spectrum contains the only gyrotropic mode localized near the center of a nanodot. The gyrotropic frequency depends on the material parameters of a nanodot and the size of a skyrmion. The eigenfrequency of the gyrotropic mode of an isolated skyrmion in a nanodot in ultrathin films (L ~ 1 nm) does not depend on the internal structure of a skyrmion and is the same for Bloch and Neel skyrmions. The interaction of skyrmions, in particular, in a linear chain of nanodots with the ground skyrmion state, leads to distinctions in low-frequency spectra. The structure of a skyrmion (of Bloch or Neel type) is exhibited as a shift of dispersion curves and a difference between the frequencies of ferromagnetic resonance in a system of interacting skyrmions.     

Parametric generation of solitonlike spin-wave pulses in ring resonators based on ferromagnetic films

Parametric generation of intense solitonlike spin-wave pulses is experimentally observed in ring resonators based on ferromagnetic films under the effect of a periodic parallel pulsed magnetic pumping. Depending on the repetition rate of the pumping pulses and the position of their carrier frequency about the eigenfrequency spectrum of the ring resonator, different types of nonlinear pulse sequences are obtained. The theoretical explanation of this phenomenon is proposed.     

Shape-manipulated spin-wave eigenmodes of magnetic nanoelements

The magnetization dynamics of nanoelements with tapered ends have been studied by micromagnetic simulations.Several spin-wave modes and their evolutions with the sharpness of the element ends are characterized. The edge mode localized in the two ends of the element can be effectively tuned by the element shape. Its frequency increases rapidly with the tapered parameter h and its localized area gradually expands toward the element center, and it finally merges into the fundamental mode at a critical tapered parameter h0. For nanoelements with h h0, the edge mode is completely suppressed. The standing spin-wave modes mainly in the internal area of the element are less affected by the element shape.The shifts of their frequencies are small and they display different tendencies. The evolution of the spin-wave modes with the element shape is explained by considering the change of the internal field.