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Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model

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  • Yoshihiro Nishiyama

    (Faculty of Science, Okayama University)

Abstract

The phase transition for the (2 + 1)-dimensional spin-S = 1XY model was investigated numerically. Because of the boson-vortex duality, the spin stiffness ρ s in the ordered phase and the vortex-condensate stiffness ρ v in the disordered phase should have a close relationship. We employed the exact diagonalization method, which yields the excitation gap directly. As a result, we estimate the amplitude ratios ρ s,v /Δ (Δ: Mott insulator gap) by means of the scaling analyses for the finite-size cluster with N ≤ 22 spins. The ratio ρ s /ρ v admits a quantitative measure of deviation from selfduality.

Suggested Citation

  • Yoshihiro Nishiyama, 2017. "Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(9), pages 1-6, September.
  • Handle: RePEc:spr:eurphb:v:90:y:2017:i:9:d:10.1140_epjb_e2017-80286-1
    DOI: 10.1140/epjb/e2017-80286-1
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    Statistical and Nonlinear Physics;

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