TY - JOUR
T1 - Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model
AU - Nishiyama, Yoshihiro
N1 - Publisher Copyright:
© 2017, EDP Sciences, SIF, Springer-Verlag GmbH Germany.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - 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 ρs/ρv admits a quantitative measure of deviation from selfduality.
AB - 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 ρs/ρv admits a quantitative measure of deviation from selfduality.
KW - Statistical and Nonlinear Physics
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U2 - 10.1140/epjb/e2017-80286-1
DO - 10.1140/epjb/e2017-80286-1
M3 - Article
AN - SCOPUS:85030156869
VL - 90
JO - European Physical Journal B
JF - European Physical Journal B
SN - 1434-6028
IS - 9
M1 - 173
ER -