Consistent Scaling Exponents at the Deconfined Quantum-Critical Point
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摘要:
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 v =0.455 4± 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 nearcritical 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/v with a value ofv 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 v provide compelling support for a continuous deconfined quantum-critical point.