Magnetic properties in the hybrid model of Ising spin-1/2: A Mean-Field theory approach in the kagome lattice.

• A frustrated antiferromagnetic system in MFT approximations is studied. • Dependence of magnetization of the model of a cluster of the 12 sites is studied. • The formation of the magnetization plateaus for low temperatures is shown. • Appearance of magnetic charges in the Kagome lattice is found. In this work, we investigate the magnetic properties using the hybrid Hamiltonian (spin/charge) in the Ising spin-1/2 antiferromagnetic model in the kagome lattice, which presents geometric frustration. The study was carried out using the Mean-Field theory obtained from the generalization of Callen's identity to obtain expressions for the magnitude magnetization as a function of temperature and an external field. In the presence of an external field the model exhibits the characteristics of a frustrated system through the appearance of magnetization plateaus on the magnetization curves. As geometric frustration in magnetic materials can provide exotic states of matter, in our investigations it was possible to verify the appearance of magnetic charges in the kagome lattice through a hexagonal sublattice using the spin/charge hybrid model. [ABSTRACT FROM AUTHOR]