Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions

TL;DR

This paper introduces an efficient SU(2) symmetric MPS algorithm for periodic boundary conditions, applied to analyze the spectrum and correlation properties of the spin-1 bilinear-biquadratic Heisenberg model, revealing phase characteristics and precise correlator results.

Contribution

It presents a novel SU(2) symmetric MPS algorithm for PBC and applies it to study the spin-1 bilinear-biquadratic model, providing detailed spectral and correlation insights.

Findings

Characterized various phases via lowest energy states with different angular momenta.

Provided high-precision results for dimerization and string correlators.

Analyzed systems of up to 100 spins with detailed spectral data.

Abstract

An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum and correlation properties of the spin-1 bilinear-biquadratic Heisenberg model. We characterize the various phases of this model by the lowest states of the spectrum with angular momentum J = 0, 1, 2 for systems of up to 100 spins. Furthermore, we provide precision results for the dimerization correlator as well as the string correlator.