Manganese ions are believed to play an important role in the magnetore
sistance of Lah LaMnO3-based systems. We consider a Mn impurity in the
mixed-valence state of the two magnetic configurations Mn4+ and Mn3The Mn4+ is represented by a spin S=3/2 consisting of three localized
d electrons in the t(2g) orbitals with their spins ferromagnetically c
oupled to maximize the total spin, The Mn3+ configuration has an addit
ional localized d electron in one of the e(g) orbitals to form a total
spin S+1/2. The e(g) electron hybridizes with the conduction electron
s and the multiple occupancy of the e(g) level is excluded by a large
Coulomb energy. This gives rise to a quadrupolar Kondo effect, which c
ompensates for the orbital degrees of freedom into a quadrupolar singl
et. We study the lifting of the degeneracy of the e(g) levels due to a
small quadrupolar field, which is related to the local Mn-O bond leng
ths. In the spin-polarized limit (ferromagnetic lattice) the model is
solved exactly. In a small magnetic field the underscreening of the sp
in via the usual Kondo effect interferes with the quadrupolar Kondo ef
fect, yielding an enhanced Kondo temperature. The quadrupolar suscepti
bility gradually increases with the magnetic field, as a consequence o
f the breaking up of the spin compensation. [S0163-1829(98)04617-7].