Statistical properties of conductance through a quantum dot in the Coulomb blockade regime

We investigate the statistical properties of the conductance through a quantum dot in the Coulomb blockade regime. By taking into account the charging energy we calculate the correlation function of conductance by the use of two types of energy level distributions of the dot, the Poisson distribution and the Wigner–Dyson distribution. In both cases, the conduction correlation obtained as a function of the difference in occupation number shows similar behaviour, decaying in the range where occupation differences are small, in agreement with experiment, but exhibits different tail behaviour where occupation differences are large.