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In the chain compound PrBa$_2$Cu$_4$O$_8$ localization appears simultaneouslywith a dimensional crossover in the electronic ground state when the scatteringrate in the chains exceeds the hopping rate between the chains. Here we reportthe discovery of a large, transverse magnetoresistance in PrBa$_2$Cu$_4$O$_8$in the localized regime. This result suggests a novel form of localizationwhereby electrons retain their metallic (quasi-one-dimensional) character overa microscopic length scale despite the fact that macroscopically, they exhibitlocalized (one-dimensional) behavior.

Possible co-existence of local itinerancy and global localization in a quasi-one-dimensional conductor