Fendley Paul, Schoutens Kareljan
Department of Physics, University of Virginia, Charlottesville, 22904-4714, USA.
Phys Rev Lett. 2005 Jul 22;95(4):046403. doi: 10.1103/PhysRevLett.95.046403.
We derive exact results for a model of strongly interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we show how the ground states can be frustrated, quantum critical, or combine frustration with a Wigner crystal. We show that on generic lattices the model is in an exotic "superfrustrated" state characterized by an extensive ground-state entropy.
我们推导出了一个强相互作用的无自旋费米子在二维晶格上跳跃模型的精确结果。通过利用超对称性,我们精确地找到了基态的数量和类型。通过研究各种晶格和极限情况,我们展示了基态如何会出现阻挫、量子临界,或者将阻挫与维格纳晶体相结合。我们表明,在一般的晶格上,该模型处于一种具有广泛基态熵特征的奇特“超阻挫”状态。