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

doi:10.1088/1674-1056/ab889b

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 57506-057506.doi: 10.1088/1674-1056/ab889b

所属专题： Virtual Special Topic — Magnetism and Magnetic Materials

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Bowen Zhao(赵博文), Jun Takahashi, Anders W. Sandvik

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

收稿日期:2020-03-18 修回日期:2020-04-02 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Anders W. Sandvik E-mail:sandvik@bu.edu
基金资助:
Project supported by the NSF under Grant No. DMR-1710170 and by a Simons Investigator Grant.

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

Received:2020-03-18 Revised:2020-04-02 Online:2020-05-05 Published:2020-05-05
Contact: Anders W. Sandvik E-mail:sandvik@bu.edu
Supported by:
Project supported by the NSF under Grant No. DMR-1710170 and by a Simons Investigator Grant.

摘要/Abstract

摘要： 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 Z₄ symmetric cVBS order parameter when the transition is continuous. In contrast, when the transition changes to first-order, the clock-like Z₄ 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.

关键词: quantum phase transitions, deconfined quantum criticality, quantum spin systems, quantum Monte Carlo simulations

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 Z₄ symmetric cVBS order parameter when the transition is continuous. In contrast, when the transition changes to first-order, the clock-like Z₄ 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.

Key words: quantum phase transitions, deconfined quantum criticality, quantum spin systems, quantum Monte Carlo simulations

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

64.70.Tg (Quantum phase transitions) 75.40.Mg (Numerical simulation studies) 75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))

赵博文, Jun Takahashi, Anders W. Sandvik. Tunable deconfined quantum criticality and interplay of different valence-bond solid phases[J]. 中国物理B, 2020, 29(5): 57506-057506.

Bowen Zhao(赵博文), Jun Takahashi, Anders W. Sandvik. Tunable deconfined quantum criticality and interplay of different valence-bond solid phases[J]. Chin. Phys. B, 2020, 29(5): 57506-057506.

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

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

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