Charge frustration and quantum criticality for strongly correlated fermions
Charge frustration and quantum criticality for strongly correlated fermions
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DOI：
10.1103/physrevlett.101.146406
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发表时间：
2008-10-03
影响因子：
8.6
通讯作者：
Schoutens, Kareljan
中科院分区：
文献类型：
--
作者：
Huijse, Liza;Halverson, James;Schoutens, Kareljan
我们研究了一个具有电荷阻挫和量子临界行为的正方晶格上强关联电子模型。势被调整以使相互作用超对称。我们建立了一个严格的数学结果，涉及量子基态的某些平铺配置的正方形晶格。对于周期性的边界条件，这种关系意味着基态的数量与系统的线性尺寸呈指数增长。我们提出了大量的分析和数值证据表明，开放的边界条件下，系统具有无间隙的边缘模式。
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 substantial analytic and numerical evidence that for open boundary conditions the system has gapless edge modes.