Semiconductor nanotube eigenmodes and the Aharonov–Bohm effect
Yu. Averkov1,2, Yu. Prokopenko1,3, and V. Yakovenko1
1O. Usikov Institute for Radiophysics and Electronics of NAS of Ukraine, Kharkiv 61085, Ukraine
2V. Karazin Kharkiv National University, Kharkiv 61022, Ukraine
3Kharkiv National University of Radio Electronics, Kharkiv 61166, Ukraine
Received June 15, 2021, published online November 25, 2021
In the present work, the spectra of electromagnetic eigenmodes of a structure consisting of a semiconductor nanotube filled with a nonmagnetic dielectric are theoretically investigated. This structure is placed in a constant magnetic field parallel to the nanotube axis. The walls of the nanotube are assumed to be infinitely thin. The dispersion equation for eigenmodes in such a structure is derived taking into account the retardation effect. From the dispersion equation it follows that in the general case the bulk-surface and surface eigenmodes can exist in such a structure. These eigenmodes with a nonzero azimuthal mode index are hybrids ones and can experience Aharonov–Bohm oscillations with the magnetic field changes.
Key words: spectra of electromagnetic eigenmodes, semiconductor nanotube, Aharonov–Bohm oscillations.