The electrical properties of wires with cross-sectional areas (A) in the range 1×{}10^-11 to 3×{}10^-10 cm² have been studied. At temperatures below about 10 K the resistance of the wires increases with decreasing temperature. The size of the increase varies as A^-1 and becomes larger as the impurity resistance is made larger, in qualitative agreement with recent theoretical predictions by Thouless. The size of the increase is in order-of-magnitude agreement with the theory but the temperature dependence is not.
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Giordano et al. (1979) studied this question.
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