Effect of magnetic and electric fields on optical properties of semiconductor spherical layer

• Published in: Semiconductor Physics Quantum Electronics & Optoelectronics
• Date: 2014
• Main Authors: Holovatsky, V.A., Bernik, I.B.
• Format: Article
• Language: English
• Published: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/118351
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Effect of magnetic and electric V.A. Holovatsky, I.B. Bernikfields on optical properties
 of semiconductor spherical layer / V.A. Holovatsky, I.B. Bernik // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2014. — Т. 17, № 1. — С. 7-13. — Бібліогр.: 28 назв. — англ.

Theoretical investigation of the influence of magnetic and electric fields on the
 energy spectrum and wave functions of electron in semiconductor spherical layer has
 been performed. The case of co-directed electric and magnetic fields has been
 considered. The Schrödinger equation has been solved using the method of expansion for
 the wave function of electron in the spherical layer under external fields by applying the
 complete set of wave functions of a quasi-particle in a spherical nanostructure without
 the external fields. It has been shown that electric and magnetic fields take off the
 spectrum degeneration with respect to the magnetic quantum number. The external fields
 rebuild the energy spectrum and deform wave functions of electron. Moreover, their
 influence on the spherically symmetric state is the largest one. Increasing the magnetic
 field induction entails a monotonous dependence of the electron energy for the states
 with m > 0 and non-monotonous one for the states with m < 0. The ground state of
 electron is successively formed by the states with m = 0, –1, –2, … with increasing the
 induction of magnetic field. The enhancement of the electric field mainly diminishes the
 electron energy. The influence of field on the energy and intensities of the 1p-1s
 intraband transition has been studied. It has been shown that there exists a certain value
 of the electric field, at which the energy of quantum transition doesn’t depend on the
 magnetic field induction.