Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model

TL;DR

This study investigates the deconfined criticality between VBS and nematic phases in an anisotropic S=1-spin model using numerical diagonalization, providing critical exponents and insights into the phase transition.

Contribution

It presents the first detailed numerical analysis of the VBS-nematic transition in an anisotropic S=1 model, estimating critical exponents and characterizing the transition.

Findings

Estimated correlation-length critical exponent =0.95(14)

Calculated Fisher's exponent for both order parameters

Provided numerical evidence for deconfined criticality in the model

Abstract

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 \le 20 spins, we estimate the correlation-length critical exponent as \nu=0.95(14). We also calculated Fisher's exponent (anomalous dimension) for each order parameter.