Excitonic states in a quantum well

Volume 3, Issue 1, February 2018     |     PP. 27-34      |     PDF (187 K)    |     Pub. Date: January 2, 2018
DOI:    347 Downloads     6658 Views  

Author(s)

Arnold Abramov, Kuang-Chi Institute of Advanced Technology, Shenzhen, China
Yuanfang Shang, Kuang-Chi Institute of Advanced Technology, Shenzhen, China
Liuzhong Yin, Kuang-Chi Institute of Advanced Technology, Shenzhen, China

Abstract
New approach to calculate both bound and continuum excitonic states in a quantum well are presented. Green functions technique for appropriate Schrödinger equation allowed transforms it to system of linear algebraic equations and to obtain a general numerical solution for excitonic wave function in a matrix form. The exciton binding energy was determined as poles of the wave function. Calculated quantum-mechanical transverse average size of an exciton correlates with binding energy. The results for different well widths and excitonic states are presented and analyzed.

Keywords
Exciton, binding energy, wave function, quantum well

Cite this paper
Arnold Abramov, Yuanfang Shang, Liuzhong Yin, Excitonic states in a quantum well , SCIREA Journal of Physics. Volume 3, Issue 1, February 2018 | PP. 27-34.

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