We have measured current-voltage characteristics of two-dimensional (2D) ar
rays of small tunnel junctions at temperatures from 1.5 to 4.2 K. This corr
esponds to thermal energies larger than the charging energy. We show that 2
D arrays can be used as primary thermometers in the same way as one-dimensi
onal (1D) arrays, and even have some advantages over 1D arrays. We have car
ried out Monte Carlo simulations, which agree with our experimental results
. (C) 1999 American Institute of Physics. [S0021- 8979(99)03519-7].