An introduction to Landau's Theory of Fermi Liquids

Abstract We present an introduction to Landau's Theory of Fermi Liquids. We seek to highlight the paradigms established by Lev Landau in the 1950s, which influence the development of current research areas. In turn, we argue that it is possible to teach this theory in physics undergraduate courses, having a positive impact on the knowledge building of professionals specialized in areas such as Solid State and Strongly Correlated Electrons. The presentation is constructive, self-contained and aimed at Physics undergraduate and graduate students. As an example, we study wave propagation in a simplified two-dimensional Fermi liquid model. The output is related with one of Landau's best known results, the “zero sound” excitation.