Abstract

The Anderson theory of dirty superconductivity wasestablished a few years after the discovery of the BCS wavefunction. Disregarding the rich properties in the one-particleenergy spectrum in dirty limit, the theory claimed that theground state condensate is translationally invariant and freefrom Toulouse type of frustrations. This theory also set downthe foundation of dirty superconductivity in the presence ofexternal fields.In this talk, I demonstrate the failure of the Anderson theoryin 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 wavefunctions are shown to result in a novel superconducting glassphase. I will also discuss why nature has tolerated the failure.

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