Collective charge transport is studied in one- and two-dimensional arrays of small normal-metal dots separated by tunneling barriers. At temperatures well below the charging energy of a dot, disorder leads to a threshold for conduction which grows linearly with the size of the array. For short-ranged interactions, one of the correlation length exponents near threshold is found from a novel argument based on interface growth. The dynamical exponent for the current above threshold is also predicted analytically, and the requirements for its experimental observation are described.
ASJC Scopus subject areas
- General Physics and Astronomy