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We have investigated one and two dimensional (1D and 2D) arrays of tunneljunctions in partial Coulomb blockade regime. The absolute accuracy of theCoulomb blockade thermometer is influenced by the external impedance of thearray, which is not the same in the different topologies of 1D and 2D arrays.We demonstrate, both by experiment and by theoretical calculations in simplegeometries, that the 1D structures are better in this respect. Yet in both 1Dand 2D, the influence of the environment can be made arbitrarily small bymaking the array sufficiently large.Comment: 11 pages, 3 figure

One- and two-dimensional tunnel junction arrays in weak Coulomb blockade regime: Absolute accuracy in thermometry