Eur. Phys. J. B (2015) 88: 71
https://doi.org/10.1140/epjb/e2015-50825-y

Regular Article

Deconfined criticality for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions

Department of Physics, Faculty of Science, Okayama University, 700-8530 Okayama, Japan

^a e-mail: nisiyama@psun.phys.okayama-u.ac.jp

Received: 29 November 2014
Received in final form: 18 January 2015
Published online: 23 March 2015

Abstract

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).