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- Title
Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model.
- Authors
Nishiyama, Yoshihiro
- Abstract
The phase transition for the (2 + 1)-dimensional spin- S = 1 XY model was investigated numerically. Because of the boson-vortex duality, the spin stiffness ρ in the ordered phase and the vortex-condensate stiffness ρ 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 / Δ ( Δ: Mott insulator gap) by means of the scaling analyses for the finite-size cluster with N ≤ 22 spins. The ratio ρ / ρ admits a quantitative measure of deviation from selfduality.
- Subjects
PHASE transitions; DUALITY (Nuclear physics); AMPLITUDE estimation; SUPERFLUIDITY; ELECTRIC insulators &; insulation
- Publication
European Physical Journal B: Condensed Matter, 2017, Vol 90, Issue 9, p1
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2017-80286-1