If you adda bit of impurities to certain materials, at low temperatures of a few Kelvin their resistivity actually starts increasing if you go below a certain critical temperature.
Kondo effect graph for gold with added impurities
. Source. Articles by others on the same topic
Antiferromagnetic exchange between a localized magnetic moment and conduction electrons produces strong low-energy correlations and screening of the moment. In a dilute magnetic-impurity metal, a resistance minimum and a low-temperature logarithmic increase are characteristic signatures over an appropriate temperature range. The strong-coupling low-temperature regime cannot be obtained by extending the logarithm indefinitely.
The Kondo effect is a phenomenon observed in condensed matter physics, specifically in systems that include magnetic impurities within a metal or semiconductor. Named after Japanese physicist Jun Kondo, who first described the effect in 1964, it relates to the behavior of conduction electrons in the presence of localized magnetic moments, such as those caused by impurity atoms.