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
N1 - Funding Information:
This work was supported by a Grant-in-Aid for Scientific Research (C) from Japan Society for the Promotion of Science (Grant No. 25400402).
Publisher Copyright:
© 2017 The Author
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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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 -