Weak localization in arrays of metallic quantum dots
  Combining scattering matrix formalism with non-linear $\sigma$-model technique we analyze weak localization effects in arrays of chaotic quantum dots connected via barriers with arbitrary distribution of channel transmissions. With the aid of our approach we evaluate magnetoconductance of two arbitrarily connected quantum dots as well as of $N\times M$ arrays of identical quantum dots. 
Dmitri S. Golubev and Andrei D. Zaikin