Charge frustration and quantum criticality for strongly correlated fermions

Understand

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior.

• The potential is tuned to make the interactions supersymmetric.
• We establish a rigorous mathematical result which relates quantum ground states to certain tiling configurations on the square lattice.
• For periodic boundary conditions this relation implies that the number of ground states grows exponentially with the linear dimensions of the system.