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 ρs/ρv admits a quantitative measure of deviation from selfduality.
| Original language | English |
|---|---|
| Article number | 173 |
| Journal | European Physical Journal B |
| Volume | 90 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sep 1 2017 |
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Keywords
- Statistical and Nonlinear Physics
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Cite this
Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model. / Nishiyama, Yoshihiro.
In: European Physical Journal B, Vol. 90, No. 9, 173, 01.09.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model
AU - Nishiyama, Yoshihiro
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
UR - http://www.scopus.com/inward/record.url?scp=85030156869&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85030156869&partnerID=8YFLogxK
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 -