Static Conductance and Scaling Theory of Localization in One Dimension

Publisher Website
Google Scholar
Abstract
It is shown that the Ohmic dc conductance of a one-dimensional system equals to either Gp=(e2πℏ)T or Gc=(e2πℏ)T(1−T), depending on whether the system is connected to a perfect one-dimensional conductor or to a classical wire (behaving as a current source), respectively. The parameter β≡d〈lng′〉dlnL, where L is the length of the system, depends only on 〈lng′〉, so that β=〈lng′〉, with g′=(πℏe2)Gp.