najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2024-14-4-469-472najo-38Research ArticlePHYSICSФИЗИКАQuantum graph as a benchmark for persistent current.Квантовый граф как эталон незатухающего токаhttps://orcid.org/0000-0002-5251-5327ПоповИ. Ю.PopovI. Y.

Igor Y. Popov – Center of Mathematics

Kroverkskiy, 49, St. Petersburg, 197101

popov1955@gmail.comhttps://orcid.org/0000-0001-7137-4067ПоповА. И.PopovA. I.

Anton I. Popov – Center of Mathematics

Kroverkskiy, 49, St. Petersburg, 197101

popov239@gmail.comГилевП. А.GilevP. A.

Pavel A. Gilev – Center of Mathematics

Kroverkskiy, 49, St. Petersburg, 197101

grandarchtemplar@gmail.comhttps://orcid.org/0000-0002-9658-7162ЧаттерджиА.ChatterjeeA.

Ashok Chatterjee – Center of Mathematics

Kroverkskiy, 49, St. Petersburg, 197101

GITAM School of Sciences, Department of Physics

Rudraram, Hyderabad 502329, Telangana

acsp@uohyd.ernet.inITMO UniversityRussian FederationITMO University; GITAM UniversityRussian Federation202431052025154469472Copyright © Popov I.Y., Popov A.I., Gilev P.A., Chatterjee A., 20252025Попов И.Ю., Попов А.И., Гилев П.А., Чаттерджи А.Popov I.Y., Popov A.I., Gilev P.A., Chatterjee A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/38

The problem of persistence current in nanosystems is studied. We demonstrate some simple theoretical observation which allows one to construct a benchmark for the persistence current. It can be used for improvement of the persistence current measurement procedure. The consideration is based on the quantum graph model. The benchmark is given by a graph with finite number of rings touching at one point with a lead attached to this point. It is assumed that the graph is plane and there exists a magnetic field orthogonal to the rings.

Изучается проблема незатухающего тока в наносистемах. Мы демонстрируем некоторые простые теоретические наблюдения, которые позволяют построить эталон для незатухающего тока. Он может быть использован для улучшения процедуры измерения незатухающего тока. Рассмотрение основано на модели квантового графа. Эталон задается графом с конечным числом колец, касающихся в одной точке, с проводом, прикрепленным к этой точке. Предполагается, что граф плоский и существует магнитное поле, ортогональное кольцам.

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The authors declare that there are no conflicts of interest present.