Consistent scaling exponents at the deconfined quantum-critical point
Sandvik, Anders W.
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Citation (published version)Anders W Sandvik, Bowen Zhao. 2020. "Consistent Scaling Exponents at the Deconfined Quantum-Critical Point." Chinese Physics Letters, Volume 37, Issue 5, pp. 057502 - 057502. https://doi.org/10.1088/0256-307x/37/5/057502
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 ν = 0.455 ± 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 L2 lattices with L up to 448. The slope grows as L1/ν with a value of ν 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 ν provide compelling support for a continuous deconfined quantum-critical point.