2020/03/31 by Anders W. Sandvik, Bowen Zhao · 44 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Critical exponent #Cumulant #Dimension (graph theory) #Monte Carlo method #Order (exchange) #Phase transition #Physics of Superconductivity and Magnetism #Scaling #Theoretical and Computational Physics #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1088/0256-307x/37/5/057502
published in Chinese Physics Letters 37(5), 057502 (Institute of Physics) · 6 pages, 4 figures. v2: minor changes only
openalex created_date 2020/04/10 · openalex publication_date 2020/05/01 · arxiv created 2020/07/07 · arxiv updated 2020/07/09 · openalex updated_date 2026/08/06
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.