In recent years, various forms of non-collinear and non-coplanar magnetic orderings have been reported in transition metal oxides. Interestingly, the origin of various application-oriented phenomena, such as multiferroicity, magnetocaloric effect, and anomalous Hall effect is found to be related to such unusual magnetic order [1, 2]. In this presentation, we explore the possibility of unconventional magnetic order in models of magnetism, namely, the Heisenberg model, the Kondo-lattice model and the Hubbard model. In addition, we also study the possibility of spin-charge ordered phases in the extended Hubbard Hamiltonian . Further, exotic magnetic orderings in Kiteav materials in which bond-directional Ising-like magnetic exchange interactions are dominant will be discussed. The potential candidates for such systems include iridates of type A2IrO3 with A=Na, Li, α-RuCl3 and Ba3IrTi2O9 . Finally, we explore the role of magnetic/non-magnetic impurities in clean Kiteav materials which is expected to lead to glassy state [5, 6].
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