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

Yoshihiro Nishiyama ()
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Yoshihiro Nishiyama: Faculty of Science, Okayama University

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 9, 1-6

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80286-1

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