哈伯德模型的前景
The landscape of the Hubbard model
摘要：
我提出了一个教学调查的各种量子阶段的哈伯德模型。蜂窝晶格模型具有将半金属连接到具有Neel序的绝缘体的共形场论。具有分数激发的态与规范理论的非限定相有关。我还考虑了这种规范理论的限制相，并展示了如何贝里相的单极诱导价键固体秩序。三角格子模型可以显示从费米液体到去束缚自旋液体的金属-绝缘体转变，我描述了这种转变的理论。双层三角形晶格是用来说明另一种可压缩的金属相，“Fermi液体”。我把这些阶段和关键点与AdS/CFT对应关系联系起来。特别是，我认为，最近的两个全息结构分别连接到费米液体和分馏费米液相。
英文摘要：
I present a pedagogical survey of a variety of quantum phases of the Hubbard model. The honeycomb lattice model has a conformal field theory connecting the semi-metal to the insulator with Neel order. States with fractionalized excitations are linked to the deconfined phases of gauge theories. I also consider the confining phases of such gauge theories, and show how Berry phases of monopoles induce valence bond solid order. The triangular lattice model can display a metal-insulator transition from a Fermi liquid to a deconfined spin liquid, and I describe the theory of this transition. The bilayer triangular lattice is used to illustrate another compressible metallic phase, the `fractionalized Fermi liquid'. I make numerous connections of these phases and critical points to the AdS/CFT correspondence. In particular, I argue that two recent holographic constructions connect respectively to the Fermi liquid and fractionalized Fermi liquid phases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
