2015/03/01 by Yoshihiro Nishiyama
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical exponent #Critical phenomena #Criticality #Exponent #Molecule #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Spins #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #Valence bond theory #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1140/epjb/e2015-50825-y
published in The European Physical Journal B 88(3) (Springer Science+Business Media)
openalex publication_date 2015/03/01 · arxiv created 2015/03/28 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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).