The criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S = 1 spin model allows us to incorporate a variety of interactions such as the single-ion anisotropy and the biquadratic interactions. Simulating the clusters with N = 6, 8, ..., 20 spins, we estimate the critical indices as 1 / ν = 1.586 (6) and η = 0.034 (4).
- Critical point phenomena
- Lattice theory and statistics
- Numerical simulation studies
- Quantized spin models
ASJC Scopus subject areas
- Nuclear and High Energy Physics