On a ferromagnetic spin chain

The quotient (s-1)/(s) of Riemann zeta functions is shown to be the partition function of a ferromagnetic spin chain for inverse temperatures.     

Solitons on a discrete ferromagnetic spin chain

Discrete ferromagnetic spin chains with planar single-ion and exchange anisotropy and with an externaldc fieldB applied in the easy plane are considered in the classical limit. We find two different static in-plane kink structures, which are symmetric with respect to a given spin or to a given bond of the chain, respectively. The first structure is unstable against in-plane fluctuations for all applied fields. The second one, on the other hand, exists (independent of the anisotropy parameters) only up to a critical fieldB _e and is stable against in-plane fluctuations in its whole domain of existence. Depending on the anisotropy parameters, this latter configuration may, however, become unstable against out-of-plane fluctuations at a critical valueB _c <B _e of the external field. Both types of kink structures can also move along the chain, by developing an out-of-plane spin component. With increasing velocity, the kink motion leads to a rapid reduction of the critical field marking the existence limit of these spin structures. The discreteness is found to have substantial influence on the spectrum of the solitons.Work supported by the Bundesministerium für Forschung und TechnologieWork supported by Schweizerischer Nationalfonds     

Soliton generation at the boundary of a molecular chain

The molecular mechanism of soliton and bisoliton generation at the end of a soft quasi-one-dimensional molecular chain under the action of an incident electron flow is investigated. It is shown that at the end of a chain the generation of a bisoliton that has zero spin and carries a double electric charge is more probable than the generation of an electrosoliton.     

Chiral metal as a ferromagnetic super spin chain

The electrons on the surface of a disordered multi-layer integer quantum Hall system constitute an unusual chiral metal with ballistic motion transverse to the field, and diffusive motion parallel to it. We present a non-perturbative analytic treatment of an appropriate model, consisting of disordered chiral fermions in two dimensions. A supersymmetric generating functional is set up for the correlation functions of this system. The strong disorder limit is mapped into a supersymmetric spin chain, with ferromagnetic exchange coupling, reflecting the electron's chiral motion. The ferromagnetic ground state and the spin wave excitations, corresponding to the diffusion modes of the chiral metal, are found exactly. The parametric density of states correlator in the ergodic limit is computed from a Boltzmann-weighted sum over low-energy spin states. The result is of a universal form and coincides with that for a hermitian random matrix.     

Solitary magnons in one-dimensional ferromagnetic chain

The existence of soliton solution in one-dimensional ferromagnetic chain due to the magnon-magnon interaction is shown.     

Soliton dragging by dynamic optical lattices

We report on the phenomenon of controllable soliton dragging by dynamic optical lattices induced by three imbalanced interfering plane waves. Because of such an imbalance, the transverse momentum of the lattice does not vanish, and thus the dynamic lattice can cause soliton dragging. The dragging rate is shown to depend on the amplitude and on the angle of incidence of the third plane wave making the optical lattice.     

The dynamics of a generalized Heisenberg ferromagnetic spin chain

We introduce a generalized Heisenberg ferromagnetic spin chain with a four-dimensional target space, and investigate its continuous limit, the generalized continuous Heisenberg model (GCHM). We reduce the dynamics of the GCHM to a nonlinear evolution of space curves in four dimensions. The space curve evolution is expressed in terms of a system of coupled nonlinear equations for the three curvatures, k(1)(x),k(2)(x),k(3)(x), of a curve in R(4). Applying the Painleve analysis to the stationary equations, we conclude that GCHM, in general, is not integrable, unless k(1) is constant. We obtain explicit solutions of the resulting stationary system under the latter condition. (c) 1995 American Institute of Physics.     

Solitary waves in an isotropic ferromagnetic chain

It is shown that due to high-order terms in the Holstein-Primakoff boson-like spin operator transformation we can have a solitary wave solution even in an isotropic ferromagnetic chain.     

Josephson current through a ferromagnetic semiconductor/semiconductor/ferromagnetic semiconductor structure

We theoretically calculate the Josephson current for two superconductor/ferromagnetic semiconductor (SC/FS) bilayers separated by a semiconductor (SM) layer. It is found that the critical Josephson current I_C in the junction is strongly determined by not only the relative orientations of the effective exchange field of the two bilayers and scattering potential strengths at the interfaces but also the kinds of holes (the heavy or light) in the two FS layers. Furthermore, a robust approach to measuring the spin polarization P for the heavy and light holes is presented.     

Heisenberg-type ferromagnetic films with a sandwich structure

Green’s function theory is applied to an alternating two-element multilayer ferromagnetic film. The Hamiltonian is based on the Heisenberg model with a second-order uniaxial single-ion anisotropy and with the interaction between the layer in the interfaces. Magnetization and the phase transition in such system are derived for several sets of material parameters.     

Vortex structure in ferromagnetic superconductors

It is shown that in ferromagnetic superconductors the polarization of the local spins induced by the persistent current in a vortex is quantized along with the magnetic field due to the current. Because of the polarization the vortex structure strongly depends on temperature. Near the ferromagnetic transition temperatures T_M all the superconductors become type I even if they are extremely of type II far above T_M.     

Autoresonance in a ferromagnetic plate with a stripe domain structure

Nonlinear dynamics of domain walls in a ferromagnetic plate with a stripe domain structure in an external field with slowly varying amplitude and frequency has been theoretically investigated. The conditions for guided autoresonant excitation of nonlinear domain-wall oscillations in the presence of dissipation have been determined.     

Probing multipartite entanglement in spin chain via structure factors

Multi-qubit entanglement could act as a useful resource for many quantum information communication and processing tasks like quantum networking processes. Genuine non-trivial multi-qubit entanglement could delineates quantum physics from classical physics. Detection of multipartite entanglement however is a theoretical and experimental challenge. A useful tool for this purpose are entanglement witnesses. Recently, we provide an analytical construction of multi-qubit entanglement witnesses using static structure factors (SSF) and study the robustness of the witnesses with respect to noise. In this article, we consider the effectiveness of the entanglement witness based on SSF for probing spin chain.     

Periodic instantons and domain structure in a ferromagnetic film

We in this paper study periodic instantons and domain structures in a theoretical film consisting of biaxial-anisotropic ferromagnets. In a proper approximation the equation of motion of the magnetization vector as a space-time function in the film is reduced to the 1 + 2-dimensional sine-Gordon field equation in strong anisotropy limit. Static periodic instantons, which are solutions of Euclidean field equantion, and various new domain structures are obtained analytically. We also investigate the energy density and stability of the periodic instantons.Received: 6 August 2003, Published online: 8 December 2003PACS: 05.45.Yv Solitons - 75.70.Kw Domain structure (including magnetic bubbles)     

Test ion acceleration in a dynamic planar electron sheath

New exact results are obtained for relativistic acceleration of test positive ions in the laminar zone of a planar electron sheath evolving from an initially mono-energetic electron distribution. The electron dynamics is calculated against the background of motionless foil ions. The limiting gamma-factor γ_p∞ of accelerated ions is shown to be determined primarily by the values of the ion-electron charge-over-mass ratio μ=m_eZ_p/m_p and the initial gamma-factor γ₀ of the accelerated electrons. For μ> 1/8 a test ion always overtakes the electron front and attains γ_p∞> γ₀. For μ< 1/8 a test ion can catch up with the electron front only when γ₀ is above a certain critical value γ_cr, which for μ≪1 can most often be evaluated as . In this model the protons and heavier test ions, for which γ_cr> 10³⁹⁸ is enormous, always lag behind the front edge of the electron sheath and have γ_p∞< γ₀; for their maximum energy an appropriate intermediate asymptotic formula is derived. The domain of applicability of the laminar-zone results is analyzed in detail.