The charge localization of single electrons on mesoscopic metallic islands leads to a suppression of the electrical current, known as the Coulomb blockade. When this correction is small, it enables primary electron thermometry, as it was first demonstrated by Pekola et al. (Phys Rev Lett 73:2903, 1994). However, in the low temperature limit, random charge offsets influence the conductance and limit the universal behavior of a single metallic island. In this work, we numerically investigate the conductance of a junction array and demonstrate the extension of the primary regime for large arrays, even when the variations in the device parameters are taken into account. We find that our simulations agree well with measured conductance traces in the submillikelvin electron temperature regime.

单电子在介观金属岛上的电荷定位导致电流的抑制，称为库仑阻塞。当这种校正很小时，它可以实现初级电子温度测量，正如 Pekola 等人首次证明的那样。(Phys Rev Lett 73:2903, 1994)。然而，在低温限制下，随机电荷偏移会影响电导并限制单个金属岛的通用行为。在这项工作中，我们对结阵列的电导进行了数值研究，并证明了大型阵列的主要机制的扩展，即使考虑到器件参数的变化。我们发现我们的模拟与亚毫利克尔文电子温度范围内测量的电导迹线非常吻合。