We investigate the stability of magnetization in free layer where the spin torque is induced by the spin Hall effect.In terms of the Landau–Liftshitz–Gilbert equation,we find the low-energy and high-energy equilibri...We investigate the stability of magnetization in free layer where the spin torque is induced by the spin Hall effect.In terms of the Landau–Liftshitz–Gilbert equation,we find the low-energy and high-energy equilibrium states,as well as the saddle points.The stability region is defined in the phase diagram spanned by the current density and the spin Hall angle.The spin Hall effect makes the previous saddle point into a stable state above a critical current.However,in the presence of magnetic field,the spin Hall effect leads to the opposite changes in the stable regions of the two low-energy states.展开更多
Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schr?dinger equations. As an example, some types of exact b...Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schr?dinger equations. As an example, some types of exact breather solutions are given analytically by adjusting the parameters. Moreover, the interesting fundamental problem is to clarify the formation mechanism of asymmetry breather solutions and how the particle number and energy exchange between the background and soliton ultimately form the breather solutions. Our results also show that the formation mechanism from breather to rogue wave arises from the transformation from the periodic total exchange into the temporal local property.展开更多
By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave ...By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave solutions,which arises from the joint action of self-phase,cross-phase modulation,and coherent coupling term.We also obtain the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure.In a special case,the asymmetry rogue wave can own the spatial and temporal symmetry gradually,which is controlled by one parameter.It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.展开更多
We use the Landau-Lifshitz-Gilbert equation to investigate field-driven domain wall propagation in magnetic nan- otubes. We find that the distortion is maximum as the time becomes infinite and the exact rigid-body sol...We use the Landau-Lifshitz-Gilbert equation to investigate field-driven domain wall propagation in magnetic nan- otubes. We find that the distortion is maximum as the time becomes infinite and the exact rigid-body solutions are obtained analytically. We also find that the velocity increases with increasing the ratio of inner radius and outer radius. That is to say, we can accelerate domain wall motion not only by increasing the magnetic field, but also by reducing the thickness of the nanotubes.展开更多
We determine the region in which the magnon-mediated spin torques exist.This region can be controlled by the spin waves.In terms of stability analysis of magnetization dynamics based on the spin-wave background,we obt...We determine the region in which the magnon-mediated spin torques exist.This region can be controlled by the spin waves.In terms of stability analysis of magnetization dynamics based on the spin-wave background,we obtain the instability conditions of spin waves.With these results,we find the relationship between unstable regions and the formation of Akhmediev breather,Kuznetsov-Ma breather and rogue waves.We establish the phase diagram of some novel magnetic excitaions.展开更多
We investigate a continuous Heisenberg spin chain equation which models the local magnetization in ferromagnet with time-and site-dependent inhomogeneous bilinear interaction and timedependent spin-transfer torque.By ...We investigate a continuous Heisenberg spin chain equation which models the local magnetization in ferromagnet with time-and site-dependent inhomogeneous bilinear interaction and timedependent spin-transfer torque.By establishing the gauge equivalence between the spin chain equation and an integrable generalized nonlinear Schrödinger equation,we present explicitly a novel nonautonomous magnetic soliton solution for the spin chain equation.The results display how the dynamics of the magnetic soliton can be controlled by the bilinear interaction and spin-polarized current.Especially,we find that the site-dependent bilinear interaction may break some conserved quantity,and give rise to damping-like effect in the spin evolution.展开更多
基金the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices of Shanxi University of China(Grant No.KF202203)。
文摘We investigate the stability of magnetization in free layer where the spin torque is induced by the spin Hall effect.In terms of the Landau–Liftshitz–Gilbert equation,we find the low-energy and high-energy equilibrium states,as well as the saddle points.The stability region is defined in the phase diagram spanned by the current density and the spin Hall angle.The spin Hall effect makes the previous saddle point into a stable state above a critical current.However,in the presence of magnetic field,the spin Hall effect leads to the opposite changes in the stable regions of the two low-energy states.
基金Project supported by the National Natural Science Foundation of China(Grant No.61774001)the Natural Science Foundation of Hunan Province,China(Grant No.2017JJ2045)
文摘Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schr?dinger equations. As an example, some types of exact breather solutions are given analytically by adjusting the parameters. Moreover, the interesting fundamental problem is to clarify the formation mechanism of asymmetry breather solutions and how the particle number and energy exchange between the background and soliton ultimately form the breather solutions. Our results also show that the formation mechanism from breather to rogue wave arises from the transformation from the periodic total exchange into the temporal local property.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11304270 and 61774001)the Key Project of Scientific and Technological Research of Hebei Province,China(Grant No.ZD2015133)+1 种基金the Construction Project of Graduate Demonstration Course of Hebei Province,China(Grant No.94/220079)the Natural Science Foundation of Hunan Province,China(Grant No.2017JJ2045)
文摘By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave solutions,which arises from the joint action of self-phase,cross-phase modulation,and coherent coupling term.We also obtain the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure.In a special case,the asymmetry rogue wave can own the spatial and temporal symmetry gradually,which is controlled by one parameter.It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.
基金Project supported by the National Natural Science Foundation of China(Grant No.61774001)the National Social Science Foundation of China(Grant No.17BJY103)+2 种基金the Key Project of Scientific and Technological Research in Hebei Province,China(Grant No.ZD2015133)the Construction Project of Graduate Demonstration Course in Hebei Province,China(Grant No.94/220079)supported by the Natural Science Foundation of Hunan Province,China(Grant No.2017JJ2045)
文摘We use the Landau-Lifshitz-Gilbert equation to investigate field-driven domain wall propagation in magnetic nan- otubes. We find that the distortion is maximum as the time becomes infinite and the exact rigid-body solutions are obtained analytically. We also find that the velocity increases with increasing the ratio of inner radius and outer radius. That is to say, we can accelerate domain wall motion not only by increasing the magnetic field, but also by reducing the thickness of the nanotubes.
基金supported by the National Natural Science Foundation of China(Grant No.61774001)the Natural Science Foundation of Hebei Province of China(Grant No.F2019202141)the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices,Shanxi University,China(Grant No.KF201906).
文摘We determine the region in which the magnon-mediated spin torques exist.This region can be controlled by the spin waves.In terms of stability analysis of magnetization dynamics based on the spin-wave background,we obtain the instability conditions of spin waves.With these results,we find the relationship between unstable regions and the formation of Akhmediev breather,Kuznetsov-Ma breather and rogue waves.We establish the phase diagram of some novel magnetic excitaions.
文摘We investigate a continuous Heisenberg spin chain equation which models the local magnetization in ferromagnet with time-and site-dependent inhomogeneous bilinear interaction and timedependent spin-transfer torque.By establishing the gauge equivalence between the spin chain equation and an integrable generalized nonlinear Schrödinger equation,we present explicitly a novel nonautonomous magnetic soliton solution for the spin chain equation.The results display how the dynamics of the magnetic soliton can be controlled by the bilinear interaction and spin-polarized current.Especially,we find that the site-dependent bilinear interaction may break some conserved quantity,and give rise to damping-like effect in the spin evolution.