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The field-induced antiferromagnetic ordering in systems of weakly coupledS=1/2 dimers at zero temperature can be described as a Bose-Einsteincondensation of triplet quasiparticles (singlet quasiholes) in the groundstate. For the case of a Heisenberg bilayer, it is here shown how the abovepicture is altered in the presence of site dilution of the magnetic lattice.Geometric randomness leads to quantum localization of thequasiparticles/quasiholes and to an extended Bose-glass phase in a realisticdisordered model. This localization phenomenon drives the system towards aquantum-disordered phase well before the classical geometric percolationthreshold is reached.Comment: 4 pages, 5 figures; published versio

Quantum Localization in Bilayer Heisenberg Antiferromagnets with Site Dilution