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Electron pairing and ferromagnetism in various cluster geometries are studiedwith emphasis on tetrahedron and square pyramid under variation of interactionstrength, electron doping and temperature. These exact calculations of chargeand spin collective excitations and pseudogaps yield intriguing insights intolevel crossing degeneracies, phase separation and condensation. Criteria forspin-charge separation and reconciliation driven by interaction strength, nextnearest coupling and temperature are found. Phase diagrams resemble a number ofinhomogeneous, coherent and incoherent nanoscale phases seen recently in highT$_c$ cuprates, manganites and CMR nanomaterials.

Novel insights into charge and spin pairing instabilities in nanoclusters