Tunable deconfined quantum criticality and interplay of different valence-bond solid phases

Bowen Zhao(赵博文)^{1}, Jun Takahashi^{2,1}, Anders W. Sandvik^{1,2}

1 Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA; 2 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Abstract We use quantum Monte Carlo simulations to study an S=1/2 spin model with competing multi-spin interactions. We find a quantum phase transition between a columnar valence-bond solid (cVBS) and a Néel antiferromagnet (AFM), as in the scenario of deconfined quantum-critical points, as well as a transition between the AFM and a staggered valence-bond solid (sVBS). By continuously varying a parameter, the sVBS-AFM and AFM-cVBS boundaries merge into a direct sVBS-cVBS transition. Unlike previous models with putative deconfined AFM-cVBS transitions, e.g., the standard J-Q model, in our extended J-Q model with competing cVBS and sVBS inducing terms the transition can be tuned from continuous to first-order. We find the expected emergent U(1) symmetry of the microscopically Z_{4} symmetric cVBS order parameter when the transition is continuous. In contrast, when the transition changes to first-order, the clock-like Z_{4} fluctuations are absent and there is no emergent higher symmetry. We argue that the confined spinons in the sVBS phase are fracton-like. We also present results for an SU(3) symmetric model with a similar phase diagram. The new family of models can serve as a useful tool for further investigating open questions related to deconfined quantum criticality and its associated emergent symmetries.

(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))

Fund: Project supported by the NSF under Grant No. DMR-1710170 and by a Simons Investigator Grant.

Corresponding Authors:
Anders W. Sandvik
E-mail: sandvik@bu.edu

Cite this article:

Bowen Zhao(赵博文), Jun Takahashi, Anders W. Sandvik Tunable deconfined quantum criticality and interplay of different valence-bond solid phases 2020 Chin. Phys. B 29 057506

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