I am interested in emergent quantum phases in condensed matter systems. The emergent quantum phases arise due to interactions between particles, mainly electrons, and give rise to surprising properties inconceivable from its constituents. Well known examples are magnetism and superconductivity. The focus of my research is Strongly Correlated Electron Systems in low dimensions, a very fertile area to find these new emergent properties. In Strongly Correlated Electron Systems the electron interaction dominates the motion of the electrons and it is necessary to go beyond the standard theory of metals (Fermi liquid theory). Furthermore, in low dimensions quantum fluctuations are unavoidable. Due to this complex interplay between the strong interactions and quantum fluctuations, strongly correlated electron systems present rich phase diagrams that can include conventional phases such as BCS superconductivity and antiferromagnetism, and other exotic phases such as the nematic state, topological phases and Dirac matter. The characterization and the microscopic description of these phases is a field of intense debate in condensed matter theory.
In particular I am interested in the following fields:
Field theory models to describe multiorbital systems
Nematicity in strongly correlated systems
Topological phases driven by interactions