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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2025-01-01
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| author | Łukasz T. Stȩpień Krzysztof Pomorski |
| author_facet | Łukasz T. Stȩpień Krzysztof Pomorski |
| author_sort | Łukasz T. Stȩpień |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-34b9dad3c58642f89fcdc119cbc8cfb8 |
| institution | Kabale University |
| issn | 2624-960X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj-art-34b9dad3c58642f89fcdc119cbc8cfb82025-08-20T03:43:55ZengMDPI AGQuantum Reports2624-960X2025-01-0171410.3390/quantum7010004Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting StructuresŁukasz T. Stȩpień0Krzysztof Pomorski1Institute of Security and Computer Science, University of the National Education Commission, ul. Podchorażych 2, 30-084 Kraków, PolandInstitute of Civil Engineering, Warsaw University of Life Sciences, ul. Nowoursynowska 166, 02-787 Warsaw, PolandThe 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.https://www.mdpi.com/2624-960X/7/1/4Bogomolny equationsGinzburg–Landau modelsuperconductors |
| spellingShingle | Łukasz T. Stȩpień Krzysztof Pomorski Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures Quantum Reports Bogomolny equations Ginzburg–Landau model superconductors |
| title | Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures |
| title_full | Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures |
| title_fullStr | Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures |
| title_full_unstemmed | Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures |
| title_short | Towards Ginzburg–Landau Bogomolny Approach and a Perturbative Description of Superconducting Structures |
| title_sort | towards ginzburg landau bogomolny approach and a perturbative description of superconducting structures |
| topic | Bogomolny equations Ginzburg–Landau model superconductors |
| url | https://www.mdpi.com/2624-960X/7/1/4 |
| work_keys_str_mv | AT łukasztstepien towardsginzburglandaubogomolnyapproachandaperturbativedescriptionofsuperconductingstructures AT krzysztofpomorski towardsginzburglandaubogomolnyapproachandaperturbativedescriptionofsuperconductingstructures |