论文标题
二维的自旋电荷分离：二元性的Spinon-Chargon仪表理论
Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality
论文作者
论文摘要
电子之间的强烈相互作用可以实现其旋转和电荷分开的阶段。我们在双重公式中捕获了这种现象。关注平方晶格，我们分析了微小颗粒（电子或跨性玻色子）接近半填充时，涡流的长波长结构。这些条件导致了蜘蛛和纤维的紧凑仪理论，这是低能涡流的基本拓扑缺陷。规格理论的公式特别适合研究众多外来阶段和过渡。我们通过确切的耦合线数组二元性的确切实现来支持一般分析。最后，我们证明了如何利用后者来为分数阶段及其过渡构建家长汉密尔顿人。
Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure of vortices when the microscopic particles -- electrons or spinful bosons -- are near half-filling. These conditions lead to a compact gauge theory of spinons and chargons, which arise as the fundamental topological defects of the low-energy vortices. The gauge theory formulation is particularly suitable for studying numerous exotic phases and transitions. We support the general analysis by an exact implementation of the duality of a coupled-wire array. Finally, we demonstrate how the latter can be exploited to construct parent Hamiltonians for fractional phases and their transitions.
