Fases anisotrópicas em líquidos Hall quânticos

Abstract

In this work, we have developed an effective theory to describe the existence of anisotropic phases in quantum Hall liquid. We start from a two-dimensional liquid electron system, subjected to moderate magnetic fields, where Landau levels of n ≥ 2 indices are partially filled, making the Coulomb term of considerable importance. Through a Hartree-Fock approximation via the mean field, we calculated a potential UHF interaction as a function of the moment and a high partial fill factor, and we show that it presentes minimum wells of nests with oscillations in the space of moments. Thus, we take the Brazovskii extended model and write a structure factor, T = 0, as a two-point correlation function, thus signaling the existence of the nematic phase in the quantum Hall liquid. However, for T ≠ 0, we believe that our model is a strong candidate for the development of an effective theory that shows the existence of the isotropic-nematic phase transition in the Hall system.