Global phase diagram and chiral spin liquids in the extended spin- $\frac{1}{2}$ honeycomb XY modelGlobal phase diagram and chiral spin liquids in the extended spin-$\frac{1}{2}$ honeycomb XY model

Yixuan Huang, Xiaoyu Dong, D. N. Sheng +1 more

Dec 24, 20190 citations

Numerical evidence for a chiral spin liquid in the XXZ model on the kagome lattice in a magnetic field

Hitesh J. Changlani, Krishna Kumar, Bryan K. Clark +1 more

Bulletin of the American Physical SocietyMar 18, 20160 citations

Gapped Z 2 spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice

Yuan-Ming Lu, Ying Ran

APSMar 1, 20110 citations

Dirac and chiral quantum spin liquids on the honeycomb lattice in a magnetic field

Bruce Normand, Zheng-Xin Liu

Bulletin of the American Physical SocietyMar 7, 20180 citations

Theory of competing Chern-Simons orders and emergent phase transitions

Rui Wang, Z. Y. Xie, Baigeng Wang +1 more

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.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.

arXiv:2101.04864Jan 13, 20210 citations

Global phase diagram and chiral spin liquids in the extended spin-

\frac{1}{2}

honeycomb XY model

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.