Our group is interested in the properties of interacting classical and quantum many-body systems, related to magnetism, superconductivity, and biophysics. We investigate microscopic models using techniques such as renormalization group, quantum Monte Carlo and exact diagonalization, to explore their phase diagrams, dynamics, and thermodynamic response. For example, recently we have applied the Stochastic Series Expansion Method to study field induced phase transitions in quantum spin liquids, developed optimization algorithms to construct nano-scale opto-electronic devices, and applied BCS theory to investigate the consequences of unconventional superconductivity in strongly correlated materials. Our work is motivated by and connected to recent experiments in the fields of quantum magnetism, high-temperature and heavy-fermion superconductivity, and nano-photonics.
