The role of correlated hopping on magnetic properties of spin-1/2 Falicov-Kimball model on a triangular lattice

Numerical diagonalization technique and Monte-Carlo simulation algorithm method is used to study the magnetic properties of spin-1/2 Falicov-Kimball model (FKM) on a triangular lattice. We have incorporated the correlated hopping (t′) term between d- and f- electrons to obtain various interesting ground state magnetic configurations. e.g. long range ferromagnetic (FM) and anti- ferromagnetic (AFM) binary alloy type and segregated phase of localized (f-) electrons are observed at different values of t′ and One-third filling i.e n = 1/3. Positive value of t′ is observed to drive the system towards phase segregation.