Proof of universality in one-dimensional few-body systems including anisotropic interactions

We provide an analytical proof of universality for bound states in one-dimensional systems of two and three particles, valid for short-range interactions with negative or vanishing integral over space. The proof is performed in the limit of weak pair-interactions and covers both binding energies and wave functions. Moreover, in this limit the results are formally shown to converge to the respective ones found in the case of the zero-range contact interaction.

Dynamic behaviors for a (2 + 1)-dimensional inhomogenous Heisenberg ferromagnetic spin chain system

We investigate a (2 + 1)-dimensional nonlinear Schrodinger equation (NLSE), which describes the spin dynamics of (2 + 1)-dimensional inhomogeneous Heisenberg ferromagnetic spin chain (IHFSC) with bilinear and anisotropic interactions in the semiclassical limit. Miscellaneous new solitons solutions are obtained through the generalized Riccati equation mapping method (GREMM). Moreover, the effects of homogeneity on the soliton propagation and interaction are discussed. The derived structure of the obtain solutions offers a rich platform to better understand the nonlinear dynamics in the ferromagnetic materials.

Основное состояние двухподрешеточного анизотропного ферромагнетика в магнитном поле

The ground state of a classical ferromagnet with the noncollinear single-ion anisotropy axes of the two sublattices and antisymmetric and anisotropic symmetric exchanges between the sublattices has been considered in a magnetic field applied in the hard magnetic directions of the crystal. The threshold conditions on the anisotropic interactions parameters determined the ground state among the three possible magnetic phases have been obtained. Depended on the type of the ground state and field direction the transition between the phases occurs as a phase transition first or second order. The value of the antisymmetric exchange above that the reorientation between two noncollinear phases is terminated by the second order phase transition depends on the angle between the local easy axes and the value of single-ion anisotropy. The field dependences of the magnetization and susceptibility have been calculated for the different ground states. The comparison with the results of the magnetic measurements in the highly anisotropic ferromagnet PbMnBO_4 has been made.