Charge frustration and quantum criticality for strongly correlated fermions.

@article{Huijse2008ChargeFA,
  title={Charge frustration and quantum criticality for strongly correlated fermions.},
  author={Liza Huijse and James T. Halverson and Paul Fendley and Kareljan Schoutens},
  journal={Physical review letters},
  year={2008},
  volume={101 14},
  pages={146406}
}
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. We present… CONTINUE READING