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Continuous phase transition from Néel state to Z_2 spin-liquid state on a square lattice

Qi, Yang and Gu, Zheng-Cheng (2014) Continuous phase transition from Néel state to Z_2 spin-liquid state on a square lattice. Physical Review B, 89 (23). Art. No. 235122. ISSN 1098-0121. doi:10.1103/PhysRevB.89.235122.

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Recent numerical studies of the J_1-J_2 model on a square lattice suggest a possible continuous phase transition between the Néel state and a gapped spin-liquid state with Z_2 topological order. We show that such a phase transition can be realized through two steps: First bring the Néel state to the U(1) deconfined quantum critical point, which has been studied in the context of Néel–valence bond solid (VBS) state phase transition. Then condense the spinon pair–skyrmion/antiskyrmion bound state, which carries both gauge charge and flux of the U(1) gauge field emerging at the deconfined quantum critical point. We also propose a Schwinger boson projective wave function to realize such a Z_2 spin liquid state and find that it has a relatively low variational energy (−0.4893J_1/site) for the J_1-J_2 model at J_2=0.5J_1. The spin liquid state we obtain breaks the fourfold rotational symmetry of the square lattice and therefore is a nematic spin liquid state. This direct continuous phase transition from the Néel state to a spin liquid state may be realized in the J_1-J_2 model, or the anisotropic J_(1x)-J_(1y)-J_2 model.

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Alternate Title:Continuous phase transition from Néel state to Z2 spin-liquid state on a square lattice
Additional Information:© 2014 American Physical Society. Received 29 September 2013; revised manuscript received 4 June 2014; published 19 June 2014. We thank L. Wang, C. Xu, T. Senthil, E.-G. Moon, and S. Sachdev for useful discussions. Y.Q. is supported by the National Natural Science Foundation of China through Grant No. 11104154 and by National Basic Research Program of China through Grant No. 2011CBA00108. Z.C.G. is supported in part by the NSF Frontiers Center with support from the Gordon and Betty Moore Foundation.
Funding AgencyGrant Number
National Natural Science Foundation of China (NSFC)11104154
National Basic Research Program of China2011CBA00108
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:23
Classification Code:PACS: 75.10.Kt, 74.40.Kb, 05.30.Rt, 75.10.Jm
Record Number:CaltechAUTHORS:20140912-080434986
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49633
Deposited By: Tony Diaz
Deposited On:12 Sep 2014 23:34
Last Modified:10 Nov 2021 18:46

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