An explanation is proposed of the unusual magnetoresistance, linear in
magnetic field and positive, observed recently in nonstoichiometric s
ilver chalcogenides. The idea is based on thr assumption that these su
bstances are basically gapless semiconductors with a linear energy spe
ctrum. Most of the excess silver atoms form metallic clusters which an
doping the remaining material to a very small carrier concentration,
so that even in a magnetic field as low as 10 Oe, only one Landau band
participates in the conductivity.