The single-electron-tunneling (SET) effect in a nanoscale granular mic
robridge, which consists of a two-dimensional array of small intergrai
n tunnel junctions, was investigated. We observed the Coulomb blockade
effect and the periodic electrical field effect in the microbridges.
These results coincide well with results of numerical calculations bas
ed on a model of a two-dimensional SET junction array. We shelved that
electron conduction properties of the microbridges are quasi-zero-dim
ensional, because the size of the charge soliton is larger than the di
mensions of the microbridges. The details of the current-voltage chara
cteristics were considered as an aspect of the Kosterlitz-Thouless (KT
) transition, which is a peculiar phase transition in a two dimensiona
l system. The electron conduction properties are extremely affected by
the existence of a fixed background charge.