%0 Journal Article %1 arXiv:0804.0174 %A Huijse, Liza %A Halverson, James %A Fendley, Paul %A Schoutens, Kareljan %D 2008 %K %T Charge frustration and quantum criticality for strongly correlated fermions %U http://arxiv.org/pdf/0804.0174 %X 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; a rigorous mathematical result then implies that the ground states correspond to certain tiling configurations on the square lattice. We show that for periodic boundary conditions, the number of such ground states grows exponentially with the linear dimensions of the system. We present substantial analytic results and numerical evidence that this correspondence implies that the system has gapless modes corresponding to the ends of defect lines.

@article{arXiv:0804.0174, abstract = {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; a rigorous mathematical result then implies that the ground states correspond to certain tiling configurations on the square lattice. We show that for periodic boundary conditions, the number of such ground states grows exponentially with the linear dimensions of the system. We present substantial analytic results and numerical evidence that this correspondence implies that the system has gapless modes corresponding to the ends of defect lines.}, added-at = {2010-05-31T12:31:48.000+0200}, author = {Huijse, Liza and Halverson, James and Fendley, Paul and Schoutens, Kareljan}, biburl = {https://www.bibsonomy.org/bibtex/2312014f2fe42ae1aeb82df05b4086090/tobiasgt79}, e-print = {arXiv:0804.0174}, interhash = {805c6a38393e49d2fa08a05bc4f1862c}, intrahash = {312014f2fe42ae1aeb82df05b4086090}, keywords = {}, month = {4}, timestamp = {2010-05-31T12:31:48.000+0200}, title = {Charge frustration and quantum criticality for strongly correlated fermions}, url = {http://arxiv.org/pdf/0804.0174}, year = 2008 }