Soliton solution for the spin current in a ferromagnetic nanowire

Abstract

We investigate the interaction of a periodic solution and one-soliton solution for the spin-polarized current in a uniaxial ferromagnetic nanowire. The amplitude and wave number of the periodic solution for the spin current have the different contribution to the width, velocity, and the amplitude of soliton solution, respectively. Moreover, we found that the soliton can be trapped only in space with a proper condition. At last we analyze the modulation instability and discuss dark solitary wave propagation for the spin current on the background of a periodic solution. In some special cases the solution can be expressed by the linear combination of periodic solution and soliton solution.

Temperature dependence of thermal conductivities of coupled rotator lattice and the momentum diffusion in standard map

“…[62]. This power-law dependence of κ(T ) ∝ T −3.2 cannot be explained by the effective phonon theory which is able to predict the temperature dependent thermal conductivities for other typical 1D nonlinear lattices such as FPU-β lattice and generalized nonlinear Klein-Gordon lattices [68][69][70][71][72][73][74][75]. According to the effective phonon theory, the thermal conductivity for low temperature rotator lattice with Hamiltonian of Eq.…”

Energy flux operator, current conservation and the formal Fourier's law

“…when energy is directed from a phonon bath into an electronic excitation through a local impurity. One simply employs then the expressions (13) and (16) for the phononic and electronic bath-induced transitions.…”

“…In molecules, understanding heat flow is crucial for controlling reactivity, molecular dynamics, and kinetics [8]. In nanosystems, heat transfer has recently attracted much attention with implications in thermal machinery [9,10,11], information processing and computation [12,13], and molecularbased thermoelectricity [14,15,16]. Of special interest are hybrid structures, e.g.…”

Geometric Phase in a Time-Dependent k-Photon Λ-Type Jaynes–Cummings Model

“…The discovery of Berry's phase is not only a breakthrough in the older theory of quantum adiabatic approximations, but also provides us with new insights in many physical phenomena. The concept of Berry's phase has developed in some different directions [15][16][17][18][19][20][21][22][23][24][25][26]. In this letter, by using the Lewis-Riesenfeld invariant theory, we shall study the dynamical and the geometric phases in a generalized time-dependent k-photon -type Jaynes-Cummings model.…”