| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Consistent Scaling Exponents at the Deconfined Quantum-Critical Point |
| Anders W. Sandvik1,2**, Bowen Zhao1 |
1Department of Physics, Boston University, Boston, Massachusetts 02215, USA
2Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190
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| Cite this article: |
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Anders W. Sandvik, Bowen Zhao 2020 Chin. Phys. Lett. 37 057502 |
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Abstract We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice $S=1/2$ $J$–$Q$ model. The critical correlation function of the $Q$ terms gives a scaling dimension corresponding to the value $\nu = 0.455 \pm 0.002$ of the correlation-length exponent. This value agrees with previous (less precise) results from conventional methods, e.g., finite-size scaling of the near-critical order parameters. We also study the $Q$-derivatives of the Binder cumulants of the order parameters for $L^2$ lattices with $L$ up to $448$. The slope grows as $L^{1/\nu}$ with a value of $\nu$ consistent with the scaling dimension of the $Q$ term. There are no indications of runaway flow to a first-order phase transition. The mutually consistent estimates of $\nu$ provide compelling support for a continuous deconfined quantum-critical point.
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Received: 06 April 2020
Published: 21 April 2020
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| PACS: |
75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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64.70.Tg
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(Quantum phase transitions)
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75.40.Mg
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(Numerical simulation studies)
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75.30.Kz
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(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
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| Fund: Supported by the National Science Foundation (USA) under Grant No. DMR-1710170 and by the Simons Foundation under a Simons Investigator Award. |
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