Collective transport in arrays of small metallic dots

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.