Ground state study of a double core-shell dendrimer nanostructure

TL;DR

This paper analytically explores the ground state phase diagrams of a dendrimer-based nanostructure with three different spins, examining how physical parameters like exchange interactions and fields influence phase stability and diversity.

Contribution

It introduces a theoretical analysis of ground state phases in a dendrimer nanostructure with multiple spins, revealing the impact of crystal fields on phase stability and diversity.

Findings

Existence of 24 stable phases under various parameters.

Crystal field increases the number of stable phases.

Two phases are unstable and masked by others.

Abstract

Based on a dendrimer graph theory, we investigate the ground state phase diagrams of a nanostructure formed by three spins: $\sigma=1/2$, S=1 and q=3/2. This nanostructure is built on a dendrimer with triangular core geometry. More precisely, we evaluate the effect of different physical parameters including the exchange interactions, the external magnetic and the crystal fields. By varying these parameters, we analytically elaborate the ground state phase diagrams. Concretely, we found that the existence of the crystal field increases the number of stable phases. The total number of possible phases is 24=2x3x4, which are: ($\pm$1/2,$\pm$1,$\pm$3/2), ($\pm$1/2,0,$\pm$3/2), ($\pm$1/2,$\pm$1,$\pm$1/2) and ($\pm$1/2,0,$\pm$1/2). All these phases are found to be stable, expect two special phases: (+1/2,0,-3/2) and (-1/2,0,+3/2), which are masked by the other phases in all the ground state phase diagrams.