Size and randomness effects on the temperature-dependent hopping conductivity of nanocrystalline chains

Developing a renormalization group approach, we study the hopping conductiv ity of nanocrystalline chains with different site energies. Exact calculati ons show that many parameters including nanosizes, randomness of grain dist ributions, lattice distortions, site energies, transition rates, Fermi ener gy, and temperature influence the conductivity. Some new singular features, for example the frequency shift, the amplitude fluctuations, and tile inte rchange between "peak" and "valley" behavior of tile imaginary part of tile conductivity can be caused Ls certain parameters mentioned above, while th e interface distortions modulate mainly the overall amplitudes of tile cond uctivity at tile whole frequency region.