  Ground state properties of spinless, extended Falicov-Kimball model (FKM) on
a finite size triangular lattice with orbital magnetic field normal to the
lattice are studied using numerical diagonalization and Monte-Carlo simulation
methods. We show that the ground state configurations of localized electrons
strongly depend on the magnetic field. Magnetic field induces a metal to
insulator transition accompanied by segregated phase to an ordered regular
phase except at density $n_f = 1/2$ of localized electrons. It is proposed that
magnetic field can be used as a new tool to produce segregated phase which was
otherwise accessible only either with correlated hopping or with large on-site
interactions.
