Study of ground state phases for spin-1/2 Falicov–Kimball model on a triangular lattice

•Ground state phases for Spin-1/2 FKM on a triangular lattice are studied.•Numerical diagonalization with classical Monte-Carlo simulation algorithm is used.•Ground state configurations show Neel order, ferromagnetism or mixture of both with J.•For 1/4-filling no magnetic moment of d- and f-electrons is observed below U=3.1.•Numerical results are relevant for the systems like GdI2GdI2, NaTiO2NaTiO2 and MgV2O4MgV2O4.

The spin-dependent Falicov–Kimball model (FKM) is studied on a triangular lattice using numerical diagonalization technique and Monte-Carlo simulation algorithm. Magnetic properties have been explored for different values of parameters: on-site Coulomb correlation U, exchange interaction J and filling of electrons. We have found that the ground state configurations exhibit long range Neèl order, ferromagnetism or a mixture of both as J is varied. The magnetic moments of itinerant (d) and localized (f) electrons are also studied. For the one-fourth filling case we found no magnetic moment from d- and f-electrons for U less than a critical value.