Some signatures of quantum chaos on dirty superconductors

The Anderson theory of dirty superconductivity was established a few years after the discovery of the BCS wave function. Disregarding the rich properties in the one-particle energy spectrum in dirty limit, the theory claimed that the ground state condensate is translationally invariant and free from Toulouse type of frustrations. This theory also set down the foundation of dirty superconductivity in the presence of external fields.
In this talk, I demonstrate the failure of the Anderson theory in amorphous superconducting films in general and its connection with Wigner–Dyson surmise. I will discuss the Chandrasekar–Glogston limit in which the nodes in one-particle wave functions are shown to result in a novel superconducting glass phase. I will also discuss why nature has tolerated the failure.