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We demonstrate that an aperiodic array of certain quantum networks comprisingmagnetic and non-magnetic atoms can act as perfect spin filters for particleswith arbitrary spin state. This can be achieved by introducing minimalquasi-one dimensionality in the basic structural units building up the array,along with an appropriate tuning of the potential of the non-magnetic atoms,the tunnel hopping integral between the non-magnetic atoms and the backbone,and, in some cases, by tuning an external magnetic field. This latter resultopens up the interesting possibility of designing a flux controlled spindemultiplexer using quantum networks. The proposed networks have closeresemblance with a family of recently developed photonic lattices, and thescheme for spin filtering can thus be linked, in principle, to a possibility ofsuppressing any one of the two states of polarization of a single photon,almost at will. We use transfer matrices and a real space renormalization groupscheme to unravel the conditions under which any aperiodic arrangement of suchtopologically different structures will filter out any given spin projection.Our results are analytically exact, and corroborated by extensive numericalcalculations of the spin polarized transmission and the density of states ofsuch systems.

Flux driven and geometry controlled spin filtering for arbitrary spins in aperiodic quantum networks