Research

An important part of research in theoretical condensed matter physics is devoted to the description of quantum states of matter from strongly correlated systems characterized by extreme spatial anisotropy. In recent decades, the success of chemists in the synthesis of organic molecular conductors and superconductors has been a true via regia to obtain real materials very close to perfect two-dimensional systems, and even one-dimensional. These systems show an impressive variety of phases from the collective behavior of matter particles such as electrons. The influence of interactions between electrons on the properties of these systems differ profoundly from that is commonly observed in more isotropic materials. These effects have led to the development of new concepts and methodologies in theory, contributing to a more unified understanding of the phenomenology observed. Our field of academic study covers the broad field of quantum liquids characterizing the physics of many-body systems like the one-dimensional Luttinger liquid, spin liquids and Mott insulator, as well as their transformation to a complex variety of ordered states of three-dimensional physics. It has a particular interest on the origin and nature of certain exotic phases such as superconductivity and its close link with the magnetism and more generally with the electronic or structural phase modulated. An important part of our business is devoted to the development and refinement of methods of quantum statistical physics as the renormalization group. It seeks to describe in a controlled and even predict the existence of new quantum states in these systems reduced dimensionality.