Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:

TL;DR

This paper investigates the magnetic behavior of a specific spin-1/2 Heisenberg chain with a trimerized structure, calculating susceptibility, saturation field, and magnetization curves, and predicting a magnetization plateau at 1/3 saturation.

Contribution

It provides a theoretical analysis of the magnetic properties of the trimerized chain, including numerical results and predictions for magnetization plateaus, with application to the compound 3CuCl₂·2dx.

Findings

Calculated high temperature susceptibility and ground state saturation magnetic field.

Determined exchange energies for 3CuCl₂·2dx.

Predicted a 1/3 magnetization plateau under certain exchange conditions.

Abstract

The magnetic properties of the ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin-1/2 Heisenberg chain are studied theoretically. The high temperature susceptibilty and the ground state saturation magnetic field are calculated and the exchange energies of the trimer compound 3CuCl${}_2\cdot$2dx are determined. The magnetization curve is obtained by numerical diagonalization of finite size systems. The result explains the low temperature magnetization data for 3CuCl${}_2\cdot$2dx with the exchange energies obtained as above. It is predicted that the magnetization curve has a plateau at 1/3 of the saturation magnetization if the ferromagnetic exchange energy is comparable to or smaller than the antiferromagnetic exchange energy.