Consistent Scaling Exponents at the Deconfined Quantum-Critical Point
Anders W. Sandvik1,2** , Bowen Zhao1
1 Department of Physics, Boston University, Boston, Massachusetts 02215, USA2 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190
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.
收稿日期: 2020-04-06
出版日期: 2020-04-21
:
75.10.Jm
(Quantized spin models, including quantum spin frustration)
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.))
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2020, Vol. 37 
