Superconductivity exponents in two- and three-dimensional percolation
Superconductivity exponents in two- and three-dimensional percolation
The first transfer-matrix calculation of the superconductivity exponent $s$ of a random mixture of normal and superconducting elements is presented: The exponent $s$ is defined through the divergence of the conductivity $\ensuremath{\Sigma}$ as the critical fraction ${p}_{c}$ of superconducting elements is approached: $\ensuremath{\Sigma}\ensuremath{\sim}{(p\ensuremath{-}{p}_{c})}^{\ensuremath{-}s}$. We obtain very accurate values for the …