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

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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 ρs in the ordered phase and the vortex-condensate stiffness ρv 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 ρs,v/Δ (Δ: Mott insulator gap) by means of the scaling analyses for the finite-size cluster with N ≤ 22 spins. The ratio ρsv admits a quantitative measure of deviation from selfduality.

Original languageEnglish
Article number173
JournalEuropean Physical Journal B
Volume90
Issue number9
DOIs
Publication statusPublished - Sep 1 2017

Keywords

  • Statistical and Nonlinear Physics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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