najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-699Research ArticlePHYSICSФИЗИКАMagnetic response of a quantum wire of elliptical cross-section in a magnetic field perpendicular to the axis of the wireMargulisV. A.

Bolshevistskaya 68, Saransk, 340005

theorphysics@mrsu.ruKarpuninV. V.

Studencheskaya 11 A, Saransk, 340007

karpuninvv@mail.ruMironovaK. I.

Bolshevistskaya 68, Saransk, 340005

Ogarev Mordovian State UniversityRussian FederationMordovian State Pedagogical Institute named after M. E. EvsevievRussian Federation20181208202592244–251Copyright © Margulis V.A., Karpunin V.V., Mironova K.I., 20252025Margulis V.A., Karpunin V.V., Mironova K.I.Margulis V.A., Karpunin V.V., Mironova K.I.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/699

The magnetic response of a quantum wire of elliptical cross section is investigated. An explicit analytic expression is found for the spectrum and wave functions of an electron in the wire. Using an approach based on finding the classical partition function, an expression is obtained for the magnetic response of the electron gas in the wire. The dependence of the response on the magnitude and direction of the magnetic field is found.

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