TY - JOUR
T1 - Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S = 1 -spin model
AU - Nishiyama, Yoshihiro
PY - 2012/12/15
Y1 - 2012/12/15
N2 - The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic interaction by means of the numerical diagonalization method. We calculated both VBS- and nematic-order parameters, aiming to clarify the nature of this transition from complementary viewpoints. Simulating the clusters with N≤20 spins, we estimate the correlation-length critical exponent as ν=0.95(14). We also calculated Fisher's exponent (anomalous dimension) for each order parameter.
AB - The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic interaction by means of the numerical diagonalization method. We calculated both VBS- and nematic-order parameters, aiming to clarify the nature of this transition from complementary viewpoints. Simulating the clusters with N≤20 spins, we estimate the correlation-length critical exponent as ν=0.95(14). We also calculated Fisher's exponent (anomalous dimension) for each order parameter.
KW - Magnetic properties
KW - Numerical simulation studies
KW - Quantized spin models
KW - Quantum statistical mechanics
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U2 - 10.1016/j.physa.2012.07.067
DO - 10.1016/j.physa.2012.07.067
M3 - Article
AN - SCOPUS:84865864067
SN - 0378-4371
VL - 391
SP - 6448
EP - 6455
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 24
ER -