Exciton Binding Energies in GaAs-Al\ulcornerGa\ulcornerAs and In\ulcornerGa\ulcornerAs-Inp Quantum Well Structures

  • Lee, Jong-Chul (Institute of New Technology, Dept. of Radio Science & Eng., Kwangwoon University)
  • Published : 1997.12.01

Abstract

The binding energies of the ground state of both the heavy-hole and light-hole excitons in a GaAs(In\ulcornerGa\ulcornerAs) quantum well sandwiched between two semi-infinite Al\ulcornerGa\ulcornerAs(InP) layers are calculated as a function of well width in the presence of an arbitray magnetic field. A variational approach is followed using very simple trial wave function. The applied magnetic field is assumed to be parallel to the axis of growth and the binding energies are calculated for a finite value of the height of the potential barrier. The exciton binding energies for a given value of the magnetic field are found to be increased than their values in a zero magnetic field due to the compression of their wave functions within the well with the applied magnetic field.

Keywords

References

  1. Phys. Rev. B v.31 Binding energies of Wannier excitons in GaAs-Ga1-xAlxAs quantum-well structures in a magnetic field R.L.Green;K.K.Bajaj
  2. Phys. Rev. Lett. v.58 Theory of Magne-toexcitons in Quantum Wells S.R.E.Yang;L.J.Sham
  3. Phys. Rev. B. v.38 Exciton mixing in quantum wells G.E.W.Bauer;T.Ando
  4. Phys. Rev. B. v.46 Binding energies of excitons and donors in a double quantum well in a magnetic field J.Cen;K.K.Bajaj
  5. Electronic States and Optical Transitions in Solid F.Bassani;G.P.Parravicini;ed.R.A.Ballinger
  6. Phys. Rev. B. v.37 Theory of heavy-hole magnetoexcitons in GaAs(Al,Ga)As quantum-well heterostructures G.Duggan
  7. Phys. Rev. B. v.21 Electron transport and band structure of Ga1-xAlxAs alloys H.J.Lee;L.Y.Juravel;J.C.Woolley;A.J.Spring Thorpe
  8. Phys. Rev. B. v.4 Valence-band parameters in cubic semiconductors P.Lawaetz
  9. Phys. Rev. B. v.9 Exciton states of semiconductors in a high magnetic field M.Altarelli;N.O.Lipari