Estudo de sistemas magnéticos modeláveis mediante sub-redes

Abstract

We have modeled some magnetic systems, which consists of a number of sublattices, in the mean field approximation. This is possible in crystalline systems formed by two or more magnetic ions coupled by specific interactions such as the crystal field, exchange, among others. The main idea is to solve the microscopic Hamiltonian that models a given magnetic system in order to obtain their magnetic equation of state: M (H, T). For this, we use the appropriate arrangements to different magnetic (ferro-, ferri- and antiferro- magnetic) scheme sublattices. From the solutions of the Hamiltonian (eigenvalues and eigenvectors), physical quantities of interest were determined. In principle we consider systems with localized magnetism due to 3d and 4f electrons with the participation of non-magnetic ligands including 3d-4f systems with the presence of crystal field. In this dissertation we use the model of two-and three sublattices in order to obtain the equation of state for the following systems: RKKY exchange in RNi2B2C, superexchange in (Y3-zRz)(T1xFe1-x)(T2yFe3-y)O12, LixFe3- xO4 and (NixMn1-x)1.5[Cr(CN)6]. In these formulas, R represents a rare earth ion, T1 and T2 represent non-magnetic ions. Some representative cases are presented to illustrate the different equations of state and behavior of sublattices, metamagnetism, temperature compensation, etc. The extension to other similar systems can be direct or need to incorporate additional phenomenological parameters.