Phase diagram of the isotropic spin-3/2 model on the z=3 Bethe lattice

TL;DR

This paper explores the phase diagram of a spin-3/2 model on a Bethe lattice, revealing multiple magnetic and topological phases using advanced tensor network methods.

Contribution

It introduces a comprehensive analysis of the phase diagram of the SU(2) symmetric spin-3/2 model on the Bethe lattice, identifying various magnetic and topological phases.

Findings

Identification of ferromagnetic, ferrimagnetic, and antiferromagnetic phases

Discovery of a symmetry protected topological phase with edge spins

Use of iTEBD to compute order parameters and entanglement spectra

Abstract

We study an SU(2) symmetric spin-3/2 model on the z=3 Bethe lattice using the infinite Time Evolving Block Decimation (iTEBD) method. This model is shown to exhibit a rich phase diagram. We compute the expectation values of several order parameters which allow us to identify a ferromagnetic, a ferrimagnetic, a anti-ferromagnetic as well as a dimerized phase. We calculate the entanglement spectra from which we conclude the existence of a symmetry protected topological phase that is characterized by S=1/2 edge spins. Details of the iTEBD algorithm used for the simulations are included.