Density matrix renormalisation group study of the correlation function of the bilinear-biquadratic spin-1 chain

TL;DR

This paper employs the density matrix renormalization group method to analyze the correlation functions of a spin-1 chain with quadratic and biquadratic interactions, revealing distinct ground state periodicities and predicting three phases in a specific parameter region.

Contribution

It introduces a DMRG-based approach to study correlation functions in spin-1 chains and predicts phase structure beyond classical analogues.

Findings

Ground state periodicity differs from classical predictions.

Identification of three distinct phases in the parameter space.

Demonstrates effectiveness of DMRG in analyzing complex spin systems.

Abstract

Using the recently developed density matrix renormalization group approach, we study the correlation function of the spin-1 chain with quadratic and biquadratic interactions. This allows us to define and calculate the periodicity of the ground state which differs markedly from that in the classical analogue. Combining our results with other studies, we predict three phases in the region where the quadratic and biquadratic terms are both positive.