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     7289 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.

References

[ 1 ] Moskalenko, S.A., Tiginyanu, I. M. 2016. “Exciton-polariton laser.” Fiz. Nizk. Temp. 42: 426–437.
[ 2 ] Lozovik, Yu. E. 2001. “Exciton Bose condensate control and the phonon laser.” Phys.Usp. 44: 1307–1309.
[ 3 ] Andreakou, P. P., Poltavtsev, S.V., Leonard, J.R., Calman, E.V., Remeika, M., Kuznetsova, Y.Y., Butov, L.V., Wilkes, J., Hanson, M., Gossard, A.C. 2014. “Optically controlled excitonic transistor.” Applied Physics Letters 104: 091101.
[ 4 ] Green, R. L., Bajaj, K. K. Phelps, D. E. 1984. “Energy levels of Wannier excitons in GaAs-Ga(1-x)Al(x)As quantum-well structures.” Phys. Rev B 29: 1807-1812
[ 5 ] Chao, C. Y-P., Chuang, S.L. 1993. ”Momentum-space solution of exciton excited states and heavy-hole -light-hole mixing in quantum wells.” Phys Rev B: 8210-8221.
[ 6 ] Sanders G. D., Chang, Y.-C. 1985. “Effect of band hybridization on exciton states in GaAs-AlxGal1-xAs quantum wells.” Phys Rev B 32: 5517-5520
[ 7 ] Broido D. A., Yang S.-R. 1990. “Mixing of excitons and continuum states in quantum wells.” Phys Rev B 42: 11051-11055
[ 8 ] Zinmermann, R. 1986. “Excitonic Spectra in 1, 2, 3 Dimmensions. A Numerical Approach.” Phys. stat. sol. (b) 136: 681 -690
[ 9 ] Willcox, A.R.K., Whittaker, D.W. 1994. “Fano resonances in quantum well absorption spectra.” Superlatt. and Microstruct. 16: 59-62
[ 10 ] Vinter, B. 1982. “Influence of charged impurities on Si inversion-layer electrons.” Phys.Rev. B 26: 6808-6825
[ 11 ] Abramov, A. 2011. “Resonant Donor States in Quantum Well.” Mod. Phys. Lett. B 25: 89-96.
[ 12 ] Abramov, A., Akimov, V., Tulupenko V.. 2007. “Analytical approach to the impurity scattering in quantum wells.” Phys. Stat. Sol. (b) 244: 1-7.