Work

Consistent Scaling Exponents at the Deconfined Quantum-Critical Point*

Year: 2020

Type: article

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 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 L 2 lattices with L up to 448. The slope grows as L 1/ 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.

Source: Chinese Physics Letters

DOI: 10.1088/0256-307x/37/5/057502

Authors: Anders W. Sandvik, Bowen Zhao

Institutions: Boston University, Chinese Academy of Sciences, Institute of Physics

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Division of Materials Research

Award: Simulation Studies of Ground State Phases and Criticality in Correlated Quantum Matter