Kondo-Heisenberg Lattice: Majorana fermions Mean field approach

we study Kondo lattice model including direct antiferromagnetic Heisenberg exchange interaction using Majorana fermions representation at half filling. An O(3)-symmetric Mean field Hamiltonian is derived on bipartite lattice. All different kind of possible spin-spin correlations functions between conduction band spins, c-electrons, and localized spin, f-electron, in both on site and different sublattices are calculated in translationally invariant solution of the mean field Theory. Finite temperature behavior of Majoranas pairs correlations are investigated for some special limit of some of the mean filed parameters.