학술논문

Transmitting Coefficient and quasi-Stationary Electron States in Double-Barrier Nano-structure within the Model of Position-dependent Effective Mass
Document Type
Conference
Source
2018 IEEE 8th International Conference Nanomaterials: Application & Properties (NAP) Nanomaterials: Application & Properties (NAP), 2018 IEEE 8th International Conference. :1-5 Sep, 2018
Subject
Bioengineering
Engineered Materials, Dielectrics and Plasmas
Photonics and Electrooptics
Power, Energy and Industry Applications
Effective mass
Quantum cascade lasers
Conferences
Nanomaterials
Electric potential
Mathematical model
Schrodinger equation
linearly-dependent effective mass
electron quasi-stationary state
transmitting coefficient
nano-structure
Language
Abstract
Using the model of rectangular potential and smooth position-dependent electron effective mass, which is a linear function of coordinate in near-interface regions between wells and barriers of open double-barrier resonant tunneling nano-structure, the solutions of Schrodinger equation are obtained and transmitting coefficient of the structure is analytically calculated. The influence of the sizes of inner and outer near-interface regions on transmitting coefficient of the structure is investigated. The comparative analysis of resonance energies and resonance widths of sub-barrier electron quasi-stationary states as functions of these sizes is performed. It is shown that the relative differences of resonance energies and resonance widths of the same state of electron in the model of linearly-dependent effective mass and simplified abrupt one do not exceed 1% and 5%, respectively, in physically correct interval of the sizes of outer and inner near-interface regions.