Teoria BCS com efeito Rashba

Abstract

This dissertation presents systematically the traditional superconductors, taking into account its discovery, properties that characterize the theory describing and changes taking place in their thermodynamic properties when subject to spin-orbit interaction Rashba. In the rst part are the key topics discussed related to phenomenon of superconductivity. It begins with a chapter 1 approach of the historical evolution of superconductivity and presentation properties that characterize a conventional superconductor, in addition to de ne superconductors Type I (conventional) and type II. The Chapter 2 is intended for an explanation of the microscopic BCS theory whose application is associated with type I superconductors, although this chapter argue about the interaction of electrons with the network, thus forming what is called Cooper pairs. The Chapter 3 is intended to introduce the Rashba model, which can be veri ed in two ways: by spontaneous generation of electric eld the junction interface of two materials or because application of the an external electric eld. In work not take into account the so that will be produced this electric eld. In Chapter 4 it shows the model Hamiltonian that constitutes the junction BCS Hamiltonian with the Hamiltonian of Rashba, from this model it is intended to calculate the e ect of Rashba interaction on the gap energy using the method of canonical transformations, consisting to assess the evolution of the operator concerned by a equation of dynamic evolution, allowing us nd the self energy carriers and their respective eigenvalues and associates them to gaps of energy. As a result of Chapter 4, Chapter 5 determine the gap superconductor function of temperature and the parameter R Rashba and as the thermodynamic properties of the model studied in this chapter also opens a space for comments and discussions. We end with Chapter 6, presenting partial conclusions, Related analytical curve made from certain data numerical, these curves will analyze the variation in thermodynamic properties of superconductors because the e ect Rashba.