My main research activities are in theoretical condensed matter physics, particularly in strongly correlated electronic many-body systems. I am interested in clean and disordered systems in which the collective behavior of the electrons gives rise to ordered states that break different symmetries of the system, such as superconductivity, magnetism, nematic ordering, and orbital ordering. My aim is to understand not only the impact of these individual phases on the electronic structure and macroscopic properties of the system, but also how they interact with each other. To achieve this goal, I rely not only on the theoretical methods from quantum statistical mechanics and many-body theory, but also on the invaluable empirical information obtained from a variety of experimental techniques, such as x-ray diffraction, neutron scattering, optical spectroscopy, thermodynamic measurements, and angle-resolved photo-emission spectroscopy. Here are some of the topics I have been working on:
- Unconventional superconductivity (iron pnictides, cuprates, heavy fermions)
- Twisted bilayer graphene
- Vestigial electronic order (nematics, smectics)
- Quantum Monte Carlo simulations of correlated systems
- Transport in strongly correlated systems
- Quantum criticality in disordered systems
- Finite temperature Mott transition
