Abstract
The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.
| Original language | English |
|---|---|
| Pages (from-to) | 28-36 |
| Number of pages | 9 |
| Journal | Nuclear Physics B |
| Volume | 916 |
| DOIs | |
| Publication status | Published - Mar 1 2017 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase. / Nishiyama, Yoshihiro.
In: Nuclear Physics B, Vol. 916, 01.03.2017, p. 28-36.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase
AU - Nishiyama, Yoshihiro
PY - 2017/3/1
Y1 - 2017/3/1
N2 - The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.
AB - The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.
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UR - http://www.scopus.com/inward/citedby.url?scp=85009067379&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2016.12.024
DO - 10.1016/j.nuclphysb.2016.12.024
M3 - Article
AN - SCOPUS:85009067379
VL - 916
SP - 28
EP - 36
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -