Magnetic response of a quantum wire of elliptical cross-section in a magnetic field perpendicular to the axis of the wire
Abstract
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.
Supporting agencies: The work is supported by the Russian Foundation of Basic Research (project 16-02-00475).
About the Authors
V. A. Margulis
Ogarev Mordovian State University
Russian Federation
Russian Federation
Bolshevistskaya 68, Saransk, 340005
V. V. Karpunin
Mordovian State Pedagogical Institute named after M. E. Evseviev
Russian Federation
Russian Federation
Studencheskaya 11 A, Saransk, 340007
K. I. Mironova
Ogarev Mordovian State University
Russian Federation
Russian Federation
Bolshevistskaya 68, Saransk, 340005
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Review
For citations:
Margulis V.A., Karpunin V.V., Mironova K.I. Magnetic response of a quantum wire of elliptical cross-section in a magnetic field perpendicular to the axis of the wire. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(2):244–251.
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