Propiedades electrónicas de materiales dicalcogenuros

Abstract

This research has pursued several goals. A motivation to the research constitutes the first chapter of this work, which has been written looking for a pedagogical result. The necessary knowledge of the basics in topology is part of a dicotomy in which the focus on physics plays the other role. In addition, since a topological field theory approach is out of the scope of this work, a careful analysis on the major features of topology in condensed matter physics and a concise explanation have been pretended to offer the reader a suitable picture. Chapter 2 deals with the basics to understand the main concepts which relate topology with condensed matter physics. A lot of algebra has been computed by the author to obtain almost all the results that appear through the text. Among these calculations, some of them appear in the appendices, but many others are part of pages and pages of personal manuscripts. In example, a lot of time was devoted to obtain the electron dynamics equations with and without magnetic field as well as the same equations under the wave packet approach. Due to the size of these derivations and the fact that a pedagogical focus is pursued, they are omitted in this text.