Abstract
The electrical properties of wires with cross-sectional areas ($A$) in the range 1\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}11}$ to 3\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}10}$ ${\mathrm{cm}}^{2}$ 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 ${A}^{\ensuremath{-}1}$ 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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