Anisotropically suppressed frustration in antiferromagnetic systems on the kagome lattice

The influence of the interactionally generated anisotropy on the magnetic as well as thermodynamic properties of geometrically frustrated antiferromagnetic systems is investigated in the framework of the interactionally generated uniaxially-anisotropic antiferromagnetic J(1)-J(2) spin-1/2 Ising model on the kagome lattice within the recursive lattice approximation. The exact solution of the corresponding model on the star kagome-like recursive lattice is found and the phase diagrams of the ground states of the model with and without the presence of the external magnetic field are identified from the magnetization as well as the entropy point of view. The magnetization, the entropy, and the specific heat properties of the model are investigated. It is shown that the presence of even a negligibly small interactionally generated anisotropy can lead not only to the quantitative but also to the significant qualitative changes in the magnetic and thermodynamic properties of frustrated magnetic systems, e.g., it can suppress the presence of frustration itself and, at the same time, generate the appearance of the first and second order phase transitions.