Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

TL;DR

This paper studies the magnetic properties and magnetocaloric effects of the spin-1/2 Heisenberg model on an anisotropic triangular lattice, revealing a 1/3 magnetization plateau and phase transition signatures.

Contribution

It introduces a detailed analysis of isothermal and adiabatic magnetization processes using the finite-temperature Lanczos method for this model.

Findings

Observation of a 1/3 magnetization plateau in isothermal processes

Detection of phase transition signatures via magnetocaloric effect

Accurate estimation of physical quantities in the thermodynamic limit

Abstract

In this study, we investigate the magnetic susceptibility, entropy, and isothermal magnetization curve of the spin-1/2 Heisenberg model on an anisotropic triangular lattice using the orthogonalized finite-temperature Lanczos method. In addition, we investigate the adiabatic magnetization curve and magnetocaloric effect. We estimate these physical quantities with sufficient accuracy in the thermodynamic limit, except at low temperatures. We observe a 1/3 magnetization plateau in the isothermal magnetization process, whereas the plateau is observed to have a slope in the adiabatic process. We show that the magnetocaloric effect can be used to detect the signature of phase transitions. We believe that these results will be useful for understanding the magnetism of anisotropic triangular lattice compounds through a comparison with experimental results in the future.