Title :
Transfer Matrix method for computation of electron transmission through aperiodic MQW
Author :
Gain, Jatindranath ; Sarkar, Madhumita Das ; Kundu, Sudakshina
Author_Institution :
Dept. Of Phys., Derozio Memorial Coll., Kolkata, India
Abstract :
This paper presents the Eigen values and corresponding Eigen functions for the electron states in an aperiodic and asymmetric Multiple Quantum Well structure. A faster, simpler, and accurate algorithm based on Transfer Matrix method has been introduced for solving time independent Schro??dinger equation in the most general case of aperiodic and asymmetric MQW structure. The MQWs are aperiodic with varying well and barrier widths and asymmetric i.e., having different materials and effective masses for the different regions of the wells and barriers. Adjacent wells are coupled through the barriers. Effect of barrier width on the tunneling properties has also been investigated. The theoretical results are compared with experimental results of Giorgetta et all. Results of the computation based on the general model agree well with experimental data.
Keywords :
Schrodinger equation; eigenvalues and eigenfunctions; quantum wells; transfer function matrices; tunnelling; Eigen functions; Eigen values; Schrodinger equation; aperiodic multiple quantum well structure; asymmetric multiple quantum well structure; barrier widths; effective mass; electron states; electron transmission; transfer matrix method; Effective mass; Electrons; Mathematical model; Photonics; Quantum cascade lasers; Quantum computing; Quantum mechanics; Quantum well devices; Testing; Tunneling; Multiple Quantum wells; Optical Devices; Quantum Tunneling; Transfer Matrix method;
Conference_Titel :
Emerging Trends in Electronic and Photonic Devices & Systems, 2009. ELECTRO '09. International Conference on
Conference_Location :
Varanasi
Print_ISBN :
978-1-4244-4846-3
DOI :
10.1109/ELECTRO.2009.5441050