论文标题
竞争订单,Wess-Zumino-witten术语和旋转液体
Competing orders, the Wess-Zumino-Witten term, and spin liquids
论文作者
论文摘要
在本文中,我们证明了在沮丧的磁铁中,当几个常规(即打破对称性的)订单竞争时,并被wess-zumino-witter(WZW)术语“交织”时,出现了旋转液体的可能性。由此产生的旋转液体可能会带来刺激,这些激发携带分数旋转并遵守非平凡的自我/互助统计。作为一个具体的例子,我们考虑了竞争订单是方格上的néel和Valence-Bond固体(VBS)订单的情况。研究从VBS侧检查涡流凝结的不同方案,我们表明Néel和VBS顺序之间的中间相(包括旋转液体)始终打破某些对称性。值得注意的是,我们的起始理论没有分数化的粒子(Partons和Guage Field,都可以预测结果与来自Parton理论得出的结果一致。这表明Ginzberg-Landau-Wilson的竞争顺序作用与自旋液体物理学之间的缺失联系是WZW术语。
In this paper, we demonstrate that in frustrated magnets when several conventional (i.e., symmetry-breaking) orders compete, and are "intertwined" by a Wess-Zumino-Witten (WZW) term, the possibility of spin liquid arises. The resulting spin liquid could have excitations which carry fractional spins and obey non-trivial self/mutual statistics. As a concrete example, we consider the case where the competing orders are the Néel and valence-bond solid (VBS) order on square lattice. Examining different scenarios of vortex condensation from the VBS side, we show that the intermediate phases, including spin liquids, between the Néel and VBS order always break certain symmetry. Remarkably, our starting theory, without fractionalized particles (partons) and guage field, predicts results agreeing with those derived from a parton theory. This suggests that the missing link between the Ginzberg-Landau-Wilson action of competing order and the physics of spin liquid is the WZW term.