论文标题
带有斑块相互作用的狄拉克费米斯。 ii。 SU（4）具有毛刺临界和量子自旋液体的相图
Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
论文作者
论文摘要
在足够低的温度下，相互作用的电子系统倾向于发展订单。例外是量子临界点（QCP）和量子自旋液体（QSL），其中波动阻止了高度纠缠的量子物质到有序状态至最低温度。尽管这些状态的后流可能出现在高温超导体，超冷原子，沮丧的磁铁和量子Moiré材料中，但在微观二维晶格模型中，它们的无偏见仍然难以捉摸。在这里，我们通过大规模的量子蒙特卡洛模拟在$π$ -Flux方形晶格上进行相关电子模拟，受到长期的Hubbard相互作用，表明总质量QCP将无质量的dirac fermions和一个圆柱价固体在有限的相互作用和可能相互互动的dirac qsl中分开。这些意外的新型量子状态存在于这个看起来简单的模型中，统一成分，包括新兴对称性，解抗分数化以及新兴物质和量规场之间的动态耦合，都将在量子多体型理论和对上述实验系统的量子理论中具有深远的影响。
At sufficiently low temperatures, interacting electron systems tend to develop orders. Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where fluctuations prevent the highly entangled quantum matter to an ordered state down to the lowest temperature. While the ramification of these states may have appeared in high-temperature superconductors, ultra-cold atoms, frustrated magnets and quantum Moiré materials, their unbiased presence remain elusive in microscopic two-dimensional lattice models. Here, we show by means of large-scale quantum Monte Carlo simulations of correlated electrons on the $π$-flux square lattice subjected to extended Hubbard interaction, that a Gross-Neveu QCP separating massless Dirac fermions and an columnar valence bond solid at finite interaction, and a possible Dirac QSL at the infinite yet tractable interaction limit emerge in a coherent sequence. These unexpected novel quantum states resides in this simple-looking model, unifying ingredients including emergent symmetry, deconfined fractionalization and the dynamic coupling between emergent matter and gauge fields, will have profound implications both in quantum many-body theory and understanding of the aforementioned experimental systems.
