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arXiv 2101.04864cond-mat.str-el
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竞争Chern-Simons序理论与突现相变

Theory of competing Chern-Simons orders and emergent phase transitions

Rui Wang, Z. Y. Xie, Baigeng Wang, Tigran Sedrakyan

摘要:

基于自旋1/2算符的Chern-Simons费米子化,我们提出了一个系统的框架来研究二维XY量子磁体中的出射相竞争。将该方法应用于反铁磁蜂窝自旋1/2 $J_1$ - $J_2$ XY模型,揭示了两个Chern-Simons级之间的非常规相变:Chern-Simons超导体和Chern-Simons费米子的激子绝缘体.我们表明,在自旋语言中,这种转变转化为从平面Néel状态的非均匀手性自旋液体,在文献中提出的早期过渡。也就是说,Chern-Simons超导体描述了平面Néel态,而Chern-Simons激子绝缘体对应于非均匀手性自旋液体。这些结果进一步被我们的高精度张量网络计算所证实,这为从Néel序到非均匀手性自旋液体的转变提供了第一个数值证据。我们认为,所发展的方法可以应用于其他受抑的XXZ型量子磁体,并可以检测非常规的相变。

英文摘要:

Based on the Chern-Simons fermionization of spin-1/2 operators, we propose a systematic framework to investigate the competition between emergent phases in frustrated two-dimensional XY quantum magnets. Application of the method to the antiferromagnetic honeycomb spin-1/2 $J_1$-$J_2$ XY model reveals an unconventional phase transition between two Chern-Simons orders: the Chern-Simons superconductor and the exciton insulator of Chern-Simons fermions. We show that in the spin language, this transition translates to the transition from the planar Néel state to the non-uniform chiral spin-liquid that was proposed earlier in the literature. Namely, the Chern-Simons superconductor describes the planar Néel state, while the Chern-Simons exciton insulator corresponds to the non-uniform chiral spin-liquid. These results are further confirmed by our high-precision tensor network calculation, which provides the first numerical evidence for the transition from Néel order to a non-uniform chiral spin-liquid. We argue that the developed method can be applied to other frustrated quantum magnets of XXZ type and can detect unconventional phase transitions.

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。

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