TY - JOUR
T1 - Deconfined criticality for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions
AU - Nishiyama, Yoshihiro
N1 - Publisher Copyright:
© 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N ≤ 20 spins, we estimate the correlation-length critical exponent as ν = 0.88(3).
AB - The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N ≤ 20 spins, we estimate the correlation-length critical exponent as ν = 0.88(3).
KW - Statistical and Nonlinear Physics
UR - http://www.scopus.com/inward/record.url?scp=84925815346&partnerID=8YFLogxK
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U2 - 10.1140/epjb/e2015-50825-y
DO - 10.1140/epjb/e2015-50825-y
M3 - Article
AN - SCOPUS:84925815346
SN - 1434-6028
VL - 88
JO - European Physical Journal B
JF - European Physical Journal B
IS - 3
M1 - 71
ER -