Strongly correlated low-dimensional quantum systems

Whenever the screening of particle-particle interaction is not efficient, correlation effects between quantum particles become important. This is typically the case in low-dimensional systems, where the description in terms of independent quasi-particles breaks down and correlation effects can give rise to the appearance of exotic quantum phases at equilibrium and to peculiar transport properties.

In particular, we investigate:

• Quantum phase transitions and nonlocal order parameters in interacting fermions
• Fermi Hubbard model (superconductivity in cuprates and iron pnictides, magnetic and spin-liquid phases)
• Lattice gauge theories in cold atoms
• Out of equilibrium properties in Luttinger liquids