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

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.