Electron Energy Levels for a Finite Elliptical Quantum Wire in a Transverse Magnetic Field
Xiu- Zhi Duan *
Department of Information science and Technology, Qinggong College, Hebei United University, Tangshan 063000, China
Guang- Xin Wang
Department of Physics Teaching Research, College of Science, Hebei United University, Tangshan 063009, China
Chun- Rui Chang
Department of Physics Teaching Research, College of Science, Hebei United University, Tangshan 063009, China
*Author to whom correspondence should be addressed.
Abstract
We investigate the electron ground state energy, the first excited energy and the electron density of probability within the effective-mass approximation for a finite strain elliptical wire. A magnetic field is applied perpendicular to the wire axis. The results are obtained by diagonalizing a Hamiltonian for a wire with elliptical edge. The electron levels are calculated as functions of the ellipse parameter of the wire with different values of the applied magnetic field. For increasing magnetic field the electron has its energy enhanced. The electron energy decreases as the elliptical wire size increases. The density of probability distribution in the wire with different size in the presence of a magnetic field has been calculated also. The smaller elliptical wire size can effectively draw electron deviation from the axis. Calculated ground state energy is compared with that one obtained in previous work.
Keywords: Energy levels, electron density of probability, magnetic field, elliptical wire