The Heisenberg ferromagnet (uniaxially anisotropic along z-direction), in the presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised in such a way that the resulting field vector

Uniaxially anisotropic Heisenberg ferromagnet, in presence of a magnetic field varying sinusoidally in time, is studied by Monte Carlo simulation. The axial (field applied only along the direction of anisotropy) and off-axial (field applied only along the direction which is perpendicular

Abstract Explicit solutions of the chain equations describing discrete transformations of the Landau-Lifshitz equation are found in the most economical way. This chain can be considered as a generalization of the Toda chain (the case of a rational spectral parameter) to the case of an elliptic curve. We show that the process of deriving multi-soliton solutions of the Landau-Lifshitz equation in an explicit form with help of these results becomes relatively straightforward.

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A method of calculating the extended Watson integral l(p,; a) is presented for an aniso-tropic simple cubic lattice with anisotropy co~stant a>O. To demonstrate the applicability of l(p.; a) the Curie point of an anisotropic Heisenberg ferromagnet is discussed.

We use the SU(2) coherent state path integral formulation with the stationary phase approximation to investigate, both analytically and numerically, the existence of shock waves in the one-dimensional Heisenberg ferromagnets with anisotropic exchange interaction. As a result we show the existence

We consider the highly anisotropic ferromagnetic spin 1/2 Heisenberg chain with periodic boundary conditions. In each sector of constant total z component of the spin, we develop convergent expansions for the lowest band of eigenvalues and eigenfunctions. These eigenstates describe droplet states

the classical anisotropic Heisenberg ferromagnet in two dimensions H = \GammaJ X nm (S n x S...

The Projected Dynamics method was originally developed to study metastable decay in ferromagnetic discrete spin models. Here, we apply it to a classical, continuous Heisenberg model with anisotropic ferromagnetic interactions, which evolves under a Monte Carlo dynamic. The anisotropy

We develop a geometric representation for the ground state of the spin-1/2 quantum XXZ ferromagnetic chain in terms of suitably weighted random walks in a two-dimensional lattice. The path integral model so obtained admits a genuine classical statistical mechanics interpretation with a translation