Abstract
The first transfer-matrix calculation of the superconductivity exponent of a random mixture of normal and superconducting elements is presented: The exponent is defined through the divergence of the conductivity as the critical fraction of superconducting elements is approached: . We obtain very accurate values for the exponents which disagree with the Alexander-Orbach conjecture as well as other conjectures. Our results are in two dimensions and in three dimensions.
- Received 9 February 1984
DOI:https://doi.org/10.1103/PhysRevB.30.4080
©1984 American Physical Society