Cooper problem in the vicinity of Anderson transition
J.Lages, D.L.Shepelyansky (CNRS, Toulouse)
TL;DR
This paper investigates how attractive interactions influence the localization of Cooper pairs near the Anderson transition in a 3D disordered system, revealing the conditions under which pairs become localized or delocalized.
Contribution
It provides a numerical analysis of the Cooper problem in a 3D Anderson model, mapping the phase diagram of pair localization and delocalization under disorder and interaction.
Findings
Attractive interactions induce localized pairs in the metallic phase.
Weak disorder destroys pair localization.
The phase diagram of delocalization transition is established.
Abstract
We study numerically the ground state properties of the Cooper problem in the three-dimensional Anderson model. It is shown that attractive interaction creates localized pairs in the metallic noninteracting phase. This localization is destroyed at sufficiently weak disorder. The phase diagram for the delocalization transition in the presence of disorder and interaction is determined.
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