论文标题

正方形晶格中的量子自旋液体受到阿贝里亚通量的影响

Quantum spin liquids in a square lattice subject to an Abelian flux

论文作者

Sun, Fadi, Ye, Jinwu

论文摘要

我们报告说,可以在新的沮丧系统中观察到可能的Z2量子自旋液体(QSL):旋转玻色子在方形晶格中受PI通量的影响。我们在任何耦合强度下构建了一种新的金斯堡 - 兰道(GL)类型的有效作用,以对可能的量子或拓扑阶段进行分类。它可用于使用4个Sublatice $ 90^{\ Circ} $ Coplanar旋转结构以及在弱耦合极限和FM Mott上的激发以及在我们先前工作中实现的强耦合极限中的激发。它还在弱耦合极限下的量子障碍(OFQD)现象中的GL有效作用与来自量子障碍(OFQD)现象的顺序之间建立了深层和内在的联系。最重要的是,它可以预测中间耦合处的两个可能的新阶段:FM SF相或沮丧的磁性莫特相。我们认为,后者更有可能,并融化成$ Z_2 $量子旋转液体(QSL)相。如果可以在中间耦合$ u/t \ sim 1 $下进行供暖问题,那么$ Z_2 $ QSL的拓扑顺序可能是由当前的冷原子或光子实验技术唯一探索的。

We report that a possible Z2 quantum spin liquid (QSL) can be observed in a new class of frustrated system: spinor bosons subject to a pi flux in a square lattice. We construct a new class of Ginsburg-Landau (GL) type of effective action to classify possible quantum or topological phases at any coupling strengths. It can be used to reproduce the frustrated SF with the 4 sublattice $ 90^{\circ} $ coplanar spin structure plus its excitations in the weak coupling limit and the FM Mott plus its excitations in the strong coupling limit achieved in our previous work. It also establishes deep and intrinsic connections between the GL effective action and the order from quantum disorder (OFQD) phenomena in the weak coupling limit. Most importantly, it predicts two possible new phases at intermediate couplings: a FM SF phase or a frustrated magnetic Mott phase. We argue that the latter one is more likely and melts into a $ Z_2 $ quantum spin liquid (QSL) phase. If the heating issue can be under a reasonable control at intermediate couplings $ U/t \sim 1 $, the topological order of the $ Z_2 $ QSL maybe uniquely probed by the current cold atom or photonic experimental techniques.

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