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

TL;DR

This study investigates the phase transition between nematic and VBS phases in a 2D quantum S=1-spin model with three-spin and biquadratic interactions, suggesting it belongs to a novel deconfined criticality universality class.

Contribution

It introduces a three-spin interaction into the model and optimizes parameters to better understand the deconfined criticality in a 2D quantum S=1-spin system.

Findings

Estimated correlation-length critical exponent =0.88 (3)

Evidence supporting a deconfined criticality universality class

Finite-size analysis with up to 20 spins

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 \le 20 spins, we estimate the correlation-length critical exponent as \nu=0.88 (3).