Relevance of Deconfined-Criticality Action in the Light of the J-Q Spin Model

ORAL

Abstract

We perform large scale Monte Carlo simulations to study critical flows of 2D spin-1/2 J-Q model and 3D SU(2) symmetric discrete NCCP$^1$ model, a.k.a. deconfined-critical-point (DCP) action. The flows of the J-Q model and the DCP action collapse in a significantly large region of system sizes (up to L$\sim 60-80$), implying that the DCP theory (in general) and the discrete NCCP$^1$ model (in particular) correctly capture mesoscopic physics of the competition between the antiferromagnetic and valence-bond orders in quantum spin systems. At larger sizes we observe significant deviations between the two flows which both demonstrate strong violations of scale invariance. Furthermore, while the Neel state is perfectly space-time symmetric, the competing phase shows significant deviations from this symmetry. Possible scenarios are outlined.

*NSF PHY-1005543

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Authors

  • Yuan Huang

    • Department of Physics, University of Massachusetts, Amherst; University of Science and Technology of China
    • University of Science and Technology of China and University of Massachusetts, Amherst

  • Kun Chen

    • Department of Physics, University of Massachusetts, Amherst; University of Science and Technology of China

  • Youjin Deng

    • Department of Physics, University of Massachusetts, Amherst; University of Science and Technology of China
    • University of Science and Technology of China and University of Massachusetts, Amherst

  • Anatoly Kuklov

    • Department of Engineering Science and Physics, The College of Staten Island, City University of New York

  • Nikolay Prokof'ev

    • Department of Physics, University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute''
    • Department of Physics, University of Massachusetts
    • University of Massachusetts, Amherst and Russian Research Center ``Kurchatov Institute''
    • University of Massachusetts, Amherst, MA 01003
    • University of Mass. Amherst,

  • Boris Svistunov

    • University of Massachusetts, Amherst
    • Department of Physics, University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute''
    • Department of Physics, University of Massachusetts
    • University of Massachusetts, Amherst, MA 01003