Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice

TL;DR

This paper investigates the magnetization behavior of a spin-1/2 antiferromagnetic Heisenberg model on a square-kagome lattice, revealing metamagnetic jumps at specific magnetization plateaus through theoretical and numerical analysis.

Contribution

It introduces a theoretical analysis of metamagnetic jumps in the square-kagome lattice model and compares approximated and numerical results for critical fields and jump magnitudes.

Findings

Metamagnetic jumps occur at 1/3 and 2/3 magnetization plateaus.

Critical field and jump magnitude depend on model parameters.

Approximate and numerical methods show consistent results.

Abstract

The magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on two-dimensional square-kagome lattice is studied theoretically. The metamagnetic jumps exist in the magnetization process at the higher edge of the 1/3 and 2/3 plateaus. The parameter-dependencies of the critical field and the magnitude of the magnetization jump at the higher edge of the 1/3 plateau are obtained by using the approximated state in the unit cell and compared with the nu- merical results of the exact diagonalization of 42 sites.