Abstract
Spectral properties for the two-dimensional quantum S=1 XY model were investigated with the exact diagonalization method. In the symmetry-broken phase, there appear the massive Higgs and massless Goldstone excitations, which correspond to the longitudinal and transverse modes of the spontaneous magnetic moment, respectively. The former excitation branch is embedded in the continuum of the latter, and little attention has been paid to the details, particularly, in proximity to the critical point. The finite-size-scaling behavior is improved by extending the interaction parameters. An analysis of the critical amplitude ratio for these mass gaps is made.
| Original language | English |
|---|---|
| Pages (from-to) | 555-562 |
| Number of pages | 8 |
| Journal | Nuclear Physics, Section B |
| Volume | 897 |
| DOIs | |
| Publication status | Published - Aug 1 2015 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model. / Nishiyama, Yoshihiro.
In: Nuclear Physics, Section B, Vol. 897, 01.08.2015, p. 555-562.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model
AU - Nishiyama, Yoshihiro
PY - 2015/8/1
Y1 - 2015/8/1
N2 - Spectral properties for the two-dimensional quantum S=1 XY model were investigated with the exact diagonalization method. In the symmetry-broken phase, there appear the massive Higgs and massless Goldstone excitations, which correspond to the longitudinal and transverse modes of the spontaneous magnetic moment, respectively. The former excitation branch is embedded in the continuum of the latter, and little attention has been paid to the details, particularly, in proximity to the critical point. The finite-size-scaling behavior is improved by extending the interaction parameters. An analysis of the critical amplitude ratio for these mass gaps is made.
AB - Spectral properties for the two-dimensional quantum S=1 XY model were investigated with the exact diagonalization method. In the symmetry-broken phase, there appear the massive Higgs and massless Goldstone excitations, which correspond to the longitudinal and transverse modes of the spontaneous magnetic moment, respectively. The former excitation branch is embedded in the continuum of the latter, and little attention has been paid to the details, particularly, in proximity to the critical point. The finite-size-scaling behavior is improved by extending the interaction parameters. An analysis of the critical amplitude ratio for these mass gaps is made.
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UR - http://www.scopus.com/inward/citedby.url?scp=84930938228&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2015.06.006
DO - 10.1016/j.nuclphysb.2015.06.006
M3 - Article
VL - 897
SP - 555
EP - 562
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -