Fluctuation-Induced Diamagnetism in Dirty Three-Dimensional, Two-Dimensional, and Layered Superconductors

Abstract
The fluctuation-induced diamagnetism in dirty layered superconductors is calculated for the case in which the magnetic filed is perpendicular to the layers. The tight-binding model of Lawrence and Doniach and the microscopic theory of Maki and Takayama are employed. A calculation is also performed for dirty two-dimensional thin films, and a parameter is identified that interpolates between the two- and three-dimensional behavior for layered superconductors.