TY - JOUR
T1 - Universal critical behavior of the two-magnon-bound-state mass gap for the (2 + 1) -dimensional Ising model
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 (JSPS), Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan (Contact No. 25400402 ).
PY - 2014/11/1
Y1 - 2014/11/1
N2 - The two-magnon-bound-state mass gap m2 for the two-dimensional quantum Ising model was investigated by means of the numerical diagonalization method; the low-lying spectrum is directly accessible via the numerical diagonalization method. It has been claimed that the ratio m2/ m1 (m1: one-magnon mass gap) is a universal constant in the vicinity of the critical point. Aiming to suppress corrections to scaling (lattice artifact), we consider the spin-S=1 Ising model with finely-adjusted extended interactions. The simulation result for the finite-size cluster with N≤20 spins indicates the mass-gap ratio m2/m11.84(1).
AB - The two-magnon-bound-state mass gap m2 for the two-dimensional quantum Ising model was investigated by means of the numerical diagonalization method; the low-lying spectrum is directly accessible via the numerical diagonalization method. It has been claimed that the ratio m2/ m1 (m1: one-magnon mass gap) is a universal constant in the vicinity of the critical point. Aiming to suppress corrections to scaling (lattice artifact), we consider the spin-S=1 Ising model with finely-adjusted extended interactions. The simulation result for the finite-size cluster with N≤20 spins indicates the mass-gap ratio m2/m11.84(1).
KW - Amplitude relation
KW - Ising model
KW - Magnon bound state
KW - Numerical diagonalization method
KW - Quantum phase transition
KW - Three-dimensional-Ising universality
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U2 - 10.1016/j.physa.2014.07.025
DO - 10.1016/j.physa.2014.07.025
M3 - Article
AN - SCOPUS:84904990765
SN - 0378-4371
VL - 413
SP - 577
EP - 582
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
ER -