Abstract

In order to understand the emergence of superconductivity it is useful to study and identify the various pathways leading to the destruction of superconductivity. One way is to use the increase in Coulomb-repulsion due to the increase in disorder, which overpowers the attractive interaction responsible for Cooper-pair formation. A second pathway, applicable to uniformly disordered materials, is the competition between superconductivity and Anderson localization, which leads to electronic granularity in which phase and amplitude fluctuations of the superconducting order parameter play a role. Finally, a third pathway is an array of superconducting islands coupled by some form of proximity-effect, due to Andreev-reflections, and which leads from a superconducting state to a state with finite resistivity, which appears like a metallic groundstate. This review summarizes recent progress in understanding of these different pathways, including experiments in low dimensional materials and application in superconducting quantum devices.

Highlights

  • It is experimentally unavoidable that this transition must be monitored at finite temperature (T ), but the physics is focused on the transition that is expected to occurI at zero temperature reflecting a transition from one ground state to another, a quantum phase transition[1]

  • We address how strong disorder modifies the electrodynamics near the QBS and how this electrodynamics can be utilised in hybrid quantum circuits

  • The main emphasis was on an analysis based on Berezinskii–Kosterlitz–Thouless physics, the competition between Coulomb blockade and Josephson coupling, and the magnetic field dependence expressed as the number of flux quanta per closed loop of the network

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Summary

Important note

Please use the final published version (if applicable).

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Benjamin Sacépé
Main paradigms
Emergent granularity of superconductivity at the local scale
Qubit excitation fs
Preformed pairs and their localization at the QBS
Mesoscopic approach to inhomogeneous superconducting materials
Applications to quantum circuits and qubits
Open problems and conclusions
Additional information
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