Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures

The Bogomolny approach to the Ginzburg–Landau equations in the context of strong and semi-strong necessary conditions is formulated for various superconducting structures in a quasi-one-dimensional description, considering both flat and curved geometries. This formulation is justified by a perturbat...

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Bibliographic Details
Main Authors: Łukasz T. Stȩpień, Krzysztof Pomorski
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Quantum Reports
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Online Access:https://www.mdpi.com/2624-960X/7/1/4
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Summary:The Bogomolny approach to the Ginzburg–Landau equations in the context of strong and semi-strong necessary conditions is formulated for various superconducting structures in a quasi-one-dimensional description, considering both flat and curved geometries. This formulation is justified by a perturbative approach to the Ginzburg–Landau theory applied to a superconducting structure that is polarized by an electric charge moving across two neighboring quantum dots. The situation considered involves an interface between a Josephson junction and a semiconductor quantum dot system in a one-dimensional setting.
ISSN:2624-960X