We present a simple model to study the electron doped manganese perovskites
. The model considers the competition between double exchange mechanism for
itinerant electrons and antiferromagnetic superexchange interaction for lo
calized electrons. It represents each Mn4+ ion by a spin 1/2, on which an e
lectron can be added to produce Mn3+ we include a hopping energy t, a stron
g intratomic ferromagnetic interaction exchange J (in the limit J/t --> inf
inity), and an interatomic antiferromagnetic interaction K between the loca
l spins. Using the Renormalized Perturbation Expansion and a Mean Field App
roximation on the hopping terms and on the superexchange interaction, we ca
lculate the free energy. From it, the stability of the antiferromagnetic, c
anted, ferromagnetic, and novel spin glass phases can be determined as func
tions of the parameters characterizing the system. The model results can be
expressed in terms of t and K for each value of the doping x in phase diag
rams. The magnetization m and canting angle theta can also be calculated as
functions of temperature for fixed values of doping and model parameters.
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