  The Land\'e or g-factors of charge carriers in solid state systems provide
invaluable information about response of quantum states to external magnetic
fields and are key ingredients in description of spin-dependent phenomena in
nanostructures. We report on the comprehensive theoretical analysis of electron
and hole g-factors in lead chalcogenide nanocrystals. By combining symmetry
analysis, atomistic calculations, and extended k.p theory, we relate calculated
linear-in-magnetic field energy splittings of confined electron states in
nanocrystals to the intravalley g-factors of the multi-valley bulk materials,
renormalized due to the quantum confinement. We demonstrate that this
renormalization is correctly reproduced by analytical expressions derived in
the framework of the extended k.p model.

Mesoscale and Nanoscale Physics