Flutuações do ângulo spin Hall em grafeno

Abstract

In this work, we have investigated the fluctuations of the spin Hall angle in graphene. Furthermore, we developed a numerical calculation for the spin Hall effect in a disorderly structure with hexagonal lattice that is connected to the four terminals, with Rashba spinorbit interaction. We present a review of analytical concepts involved in our work, as the Landauer-Büttiker theory and the tight-binding model for graphene. We show that fluctuations of efficiency for conversion of the charge current to spin current are related with fluctuations of the charge current, directly proportional to the intensity of the spin-orbit interaction and inversely proportional to energy. Moreover, we show a connection between the numerical results obtained and the existing analytical theory, that is, we demonstrate that graphene follows a universal relationship between the product of the maximum deviation from the spin Hall angle and charge conductivity. Finally, we got the mean free path for graphene on our lattice.