Response of a semi-infinite cubic lattice to uniform electric fields

Self-consistent field equations for the dipole moments of point polarizable atoms in slabs of cubic lattices with a uniform applied electric field are constructed. Results of Toeplitz operator theory are used to characterize the ranges of atomic polarizability for which there are unique solutions to the equations. A normal mode analysis of the frequency spectrum of the coupled dipole lattice is given and is used in the interpretation of the results for the simple cubic lattice. Approximate solutions of the self-consistent field equations for the semi-infinite lattice are constructed which display the exponential approach of the atomic dipoles to their infinite lattice value with increasing penetration into the lattice.     

Lamellar-like structures in ferrofluids placed in strong magnetic fields

We consider a ferrofluid system consisting of magnetic particles interacting with a magnetic dipole–dipole interaction. We study the strong magnetic field regime where all magnetic dipoles are completely polarized in the direction of the magnetic field. We introduce a lattice gas model that serves to describe space ordering phenomena in such systems. It is found that, within mean field theory, this model predicts a second order phase transition to a phase with inhomogeneous lamellar-like ordering below a certain critical temperature.     

Local-field effect near the surface of dipolar lattices

The local-field correction near the surface of a dipolar crystal has been studied by explicitly computing the non-retarded electric field produced by a finite array of classical point dipoles induced by a time-varying electric field. Crystals of simple cubic, f.c.c. and b.c.c. structures are considered, and results presented for the self-consitent dipole moment and the local electric field at a lattice point. The utility of the method and its possible applications are discussed.     

Magnetic properties of a random system of rodlike Ising dipoles

A generalized mean field theory is constructed for a system of rodlike Ising magnetic dipoles of a finite length a with configuration disorder. The theory is based on an analysis of the local magnetic field distribution function. It is shown that the magnetic state of such a system is determined by the dipole concentration n: the system is paramagnetic for na³ ? 5×10², while ferromagnetic ordering exists for na³ ? 5×10². The susceptibility of the system in the paramagnetic state is determined.     

The anisotropy of the dipole fields at interstitial sites in ferromagnetic bcc and hcp crystals

The anisotropy of the local magnetic dipole field is calculated for interstitial lattice sites of tetragonal, trigonal, or orthorhombic symmetry in bcc and hep crystals. In addition, for interstitial sites of uniaxial symmetry the effects of lattice deformations on the magnetic dipole field are investigated. A discussion of experimental results obtained from muon spin rotation experiments on Co and Gd shows that in these metals lattice-deformation effect may influence the local dipole fields significantly.     

Numerical Calculations for the Surface on a Semi-Infinite Ising Model with a Random Surface Field

We study the critical behavior of the surface on a semi-infinite simple cubic lattice Ising model with a bimodal random surface field by large cell mean-field renormaliza tion group method and Monte Carlo simulations. Our results show that the surface ferromagnetic phase exists in the weak random field range above the bulk critical temperature. The surface. specific heat is not divergence and the susceptibility show a cusp singularity at the surface ferromagnetic-paramagnetic transition for a relatively large and om field.     

Critical Properties of Mixed Ising Spin System with Different Trimodal Transverse Fields in the Presence of Single-Ion Anisotropy

Within the framework of an effective field approximation, the effects of single-ion anisotropy and different trimodal transverse fields of two sublattices on the critical properties of the mixed spin-1/2 and spin-1 Ising system are investigated on the simple cubic lattice. A smaller single-ion anisotropy can magnify magnetic ordering phases and a larger one can depress magnetic ordering phase for T-Ω_1/2 space at low temperatures, while a smaller single-ion anisotropy can hardly change the value of critical transverse field for T-Ω₁ space. On the other hand, influences of two different trimodal transverse fields concentrations on tricritical points and magnetic ordering phases take on some interesting results in T-D space. The main reason comes from the common action of single-ion anisotropy, different transverse fields and two trimodal distributions.     

铁磁和反铁磁双层膜中铁磁共振的研究

采用微磁学理论研究了铁磁/反铁磁双层膜中的铁磁共振现象.本模型将铁磁薄层抽象为一个单晶,具有立方磁晶各向异性和单轴磁晶各向异性,而反铁磁层视为厚度趋近于半无穷,且只有单轴磁晶各向异性.推导出了该系统的铁磁共振频率和频率谱宽度的解析式.数值计算表明,铁磁共振模式分两支,取决于立方磁晶各向异性.而界面的交换耦合,是磁易轴具有单向性的起因.     

Disordered RKKY lattice mean field theory for ferromagnetism in diluted magnetic semiconductors

We develop a lattice mean field theory for ferromagnetic ordering in diluted magnetic semiconductors by taking into account the spatial fluctuations associated with random disorder in the magnetic impurity locations and the finite mean free path associated with low carrier mobilities. Assuming a carrier-mediated indirect RKKY exchange interaction among the magnetic impurities, we find substantial deviation from the extensively used continuum Zener model Weiss mean field predictions. Our theory allows accurate analytic predictions for Tc and provides simple explanations for a number of observed anomalies, including the non-Brillouin function magnetization curves, the suppressed low-temperature magnetization saturation, and the dependence of Tc on conductivity.     

Distribution of dipole fields in disordered crystalline and amorphous ferromagnetic alloys

By means of computer simulation we have calculated the distribution functions of dipole fields in disordered crystalline and amorphous ferromagnetic alloys A_1-xB_x. It is shown that for all cubic lattice sites in simple cubic, body-centred cubic and face-centred cubic materials as well as for amorphous materials the envelopes of the distribution functions may be obtained in a satisfactory approximation by considering only the nearest contributing atoms. Whereas in crystalline materials we have a complicated structure of the distribution functions for arbitrary values ofx, we obtain simple Gaussian distributions for the case of amorphous materials, using Heimendahl's model of the amorphous structure. The influence of isotropic and anisotropic short-range order is discussed in detail.     

Nanoengineered magnetic-field-induced superconductivity

The perpendicular critical fields of a superconducting film have been strongly enhanced by using a nanoengineered lattice of magnetic dots (dipoles) on top of the film. Magnetic-field-induced superconductivity is observed in these hybrid superconductor/ferromagnet systems due to the compensation of the applied field between the dots by the stray field of the dipole array. By switching between different magnetic states of the nanoengineered field compensator, the critical parameters of the superconductor can be effectively controlled.     

Nonlinear dynamic structure rearrangement of vortexlike domain walls in magnetic films with in-plane anisotropy

The nonlinear dynamic behavior of vortexlike domain walls in magnetic uniaxial films having an in-plane anisotropy was investigated within a rigorous micromagnetic approach in the framework of a two-dimensional magnetization distribution by numerically solving the Landau–Lifshitz equations (with the Gilbert damping parameter) with allowance for all the main interactions, including the dipole–dipole one. The studies were carried out on magnetic soft films with an anisotropy axis lying in their plane in a dc magnetic field parallel to an easy axis and a pulsed magnetic field normal to it. New possibilities for controlling the nonlinear dynamic rearrangement of the internal structure of domain walls and their velocities in fields both above and below the critical field are established. The wall motion in the field above the critical one is nonstationary.     

Stability of ferrimagnetic multilayers

We study the field induced instability of the ground state of ferrimagnetic multilayers consisting of a stacking alternating two different uniaxial ferromagnetic layers. For multilayers with even number of layers N, we obtain analytical expressions for the critical fields in terms of the magnetic parameters (anisotropies, and interlayer exchange coupling), for any value of N. The critical fields are calculated from the energy fluctuations for small variations in the equilibrium magnetic profile. The form of the hysteresis curves is discussed, using the expressions of the critical fields.     

Impurity dipole interactions in alkali halides at low temperature

Calculations of dipole correlations and internal-energy densities are reported for dilute dipole systems in the NaCl and CsCl lattices. The tensorial dipole interaction potential is used in thermal averaging in a two-dipole approximation. Actual lattice geometries are taken into account in the three-dimensional spatial averages. The dipoles are assumed to have equilibrium orientations along [100] in the NaCl lattice, and along either [100] or [111] in the CsCl lattice. It is found thatlocal antiparallel ordering is favored in both lattices at low temperatures. Comparison with recent, low-temperature dielectric data indicates that relaxation mechanisms are as important as local antiparallel ordering in limiting theT ^?1 increase of (??1)/(?+2) with decreasing temperature for OH^? doped KCl. A simplified, nonequilibrium mechanism is studied whereby parallel-correlated dipoles with interaction energies greater than2 kT in absolute value become nonalignable and do not contribute to?. This mechanism together with antiparallel ordering are found to describe the experimental data satisfactorily; but additional relaxation mechanisms are indicated. The contribution of the dipole interactions to the specific heat is also calculated, and is in qualitative agreement with measured specific heat data for OH^? doped KCl.     

A new type of decoupling approximation for ising model with spin 1/2

By introducing a new type of decoupling approximation within the framework of an effective field theory, we discuss the critical temperature of an isotropic square and simple cubic lattice in an Ising model. It is also derived the critical value _c above which the magnetism occurs in a free surface of a semi-infinite medium. The present formalism yields results quite superior to the other effective fields theories and in good agreement with series expansions and exact's one.     

Induced-moment ferromagnetic ordering in the singlet-ground state compound TmNi2

We present measurements of the magnetization in very high fields, the low temperature specific heat and the AC susceptibility, both in zero and nonzero magnetic field, of the intermetallic cubic Laves phase compound TmNi₂. This material appears to be a singlet-singlet system with an inter-ionic exchange which just exceeds the critical value for magnetic ordering. The absence of a clear anomaly in the specific heat near the ferromagnetic transition temperature T_c = 1.1 K is discussed in a molecular field approximation including crystal field effects. The results of the experiments can qualitatively be described in terms of a set of crystal field parameters corresponding to a Hamiltonian for a system with a distortion from cubic symmetry.     

Critical dynamics of slightly disordered spin systems

A new approach to the analysis of magnetic dipole motion in external magnetic field and fields generated by neighboring magnetic dipoles is suggested, and original general kinetic equations for the dipole density are derived. Special cases of these general equations are the Bloch, Redfield, and Provotorov equations, which are widely used in NMR theory. A comparison between NMR spectra calculated with the new theory and published experimental data also shows good agreement in regions to which the equations listed above do not apply. Zh. éksp. Teor. Fiz. 113, 967–980 (March 1998)