XXZ-Ising model on the triangular kagome lattice with spin-1 on the decorated trimers

TL;DR

This paper introduces an exactly solvable mixed spin model on the triangular kagome lattice, revealing a rich phase diagram with 20 phases under external fields and insights into quantum fluctuations and magnetization behavior.

Contribution

It presents a novel mixed spin system on the kagome lattice and provides an exact solution using a transformation method, including phase diagrams and entropy calculations.

Findings

Exact phase diagram with 20 phases under external field

Maximum zero-temperature entropy of 5.48895 per unit cell

Stable quantized magnetization growth in the Heisenberg limit

Abstract

We consider the triangular kagome XXZ-Ising model (TKL XXZ-Ising model) formed by inserting small triangles ("a-trimers") with XXZ spin-1 inside the triangles of the kagome lattice ("b-trimers"). It is a novel mixed spin system and can be solved exactly by transforming into the kagome lattice with the general transformation method for decorated spin systems. In the absence of an external field, we integrate out the quantum spins of the a-trimers and map the TKL model to the kagome Ising model exactly. We obtain the full phase diagram and their zero-temperature entropies (e.g. $s_{max}=5.48895$ per unit cell is given for the phase with the maximum entropy). When an external field is applied, 20 phases are found due to the quantum fluctuations of a-trimers. Moreover, the high spins in the a-trimers can lead to a stable quantized growth of the magnetization process in the Heisenberg limit.