Electronic structure and absorption spectrum of biexciton obtained by using exciton basis
Abstract
We approach the biexciton Schrödinger equation not through the freecarrier basis as usually done, but through the freeexciton basis, exciton–exciton interactions being treated according to the recently developed composite boson manybody formalism which allows an exact handling of carrier exchange between excitons, as induced by the Pauli exclusion principle. We numerically solve the resulting biexciton Schrödinger equation with the exciton levels restricted to the ground state and we derive the biexciton ground state as well as the bound and unbound excited states as a function of holetoelectron mass ratio. The biexciton groundstate energy we find, agrees reasonably well with variational results. Next, we use the obtained biexciton wave functions to calculate optical absorption in the presence of a dilute exciton gas in quantum well. We find an asymmetric peak with a characteristic lowenergy tail, identified with the biexciton ground state, and a set of Lorentzianlike peaks associated with biexciton unbound states, i.e., exciton–exciton scattering states. Last, we propose a pump–probe experiment to probe the momentum distribution of the exciton condensate.  Highlights: •New composite boson manybody theory is used to derive exactly the biexciton Schrödinger equation using the exciton basis. •We solved the 2D and 3D biexciton ground and excitedstatemore »
 Authors:

 Research Center for Applied Sciences, Academia Sinica, Taipei, 115, Taiwan (China)
 Institut des NanoSciences de Paris, Université Pierre et Marie Curie, CNRS, 4 place Jussieu, 75005 Paris (France)
 Publication Date:
 OSTI Identifier:
 22220783
 Resource Type:
 Journal Article
 Journal Name:
 Annals of Physics (New York)
 Additional Journal Information:
 Journal Volume: 336; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 00034916
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ABSORPTION; ABSORPTION SPECTRA; ASYMMETRY; BINDING ENERGY; BOSONS; ELECTRONIC STRUCTURE; ELECTRONS; EQUATIONS; EXCITED STATES; GROUND STATES; MANYBODY PROBLEM; PEAKS; QUANTUM WELLS; WAVE FUNCTIONS
Citation Formats
Shiau, ShiueYuan, Department of Physics, National Cheng Kung University, Tainan, 701, Taiwan, Combescot, Monique, and Chang, YiaChung. Electronic structure and absorption spectrum of biexciton obtained by using exciton basis. United States: N. p., 2013.
Web. doi:10.1016/J.AOP.2013.06.006.
Shiau, ShiueYuan, Department of Physics, National Cheng Kung University, Tainan, 701, Taiwan, Combescot, Monique, & Chang, YiaChung. Electronic structure and absorption spectrum of biexciton obtained by using exciton basis. United States. doi:10.1016/J.AOP.2013.06.006.
Shiau, ShiueYuan, Department of Physics, National Cheng Kung University, Tainan, 701, Taiwan, Combescot, Monique, and Chang, YiaChung. Sun .
"Electronic structure and absorption spectrum of biexciton obtained by using exciton basis". United States. doi:10.1016/J.AOP.2013.06.006.
@article{osti_22220783,
title = {Electronic structure and absorption spectrum of biexciton obtained by using exciton basis},
author = {Shiau, ShiueYuan and Department of Physics, National Cheng Kung University, Tainan, 701, Taiwan and Combescot, Monique and Chang, YiaChung},
abstractNote = {We approach the biexciton Schrödinger equation not through the freecarrier basis as usually done, but through the freeexciton basis, exciton–exciton interactions being treated according to the recently developed composite boson manybody formalism which allows an exact handling of carrier exchange between excitons, as induced by the Pauli exclusion principle. We numerically solve the resulting biexciton Schrödinger equation with the exciton levels restricted to the ground state and we derive the biexciton ground state as well as the bound and unbound excited states as a function of holetoelectron mass ratio. The biexciton groundstate energy we find, agrees reasonably well with variational results. Next, we use the obtained biexciton wave functions to calculate optical absorption in the presence of a dilute exciton gas in quantum well. We find an asymmetric peak with a characteristic lowenergy tail, identified with the biexciton ground state, and a set of Lorentzianlike peaks associated with biexciton unbound states, i.e., exciton–exciton scattering states. Last, we propose a pump–probe experiment to probe the momentum distribution of the exciton condensate.  Highlights: •New composite boson manybody theory is used to derive exactly the biexciton Schrödinger equation using the exciton basis. •We solved the 2D and 3D biexciton ground and excitedstate binding energies for various electrontohole mass ratios. •The absorption spectrum shows an asymmetric lowenergy peak identified with the biexciton ground state. •Highenergy Lorentzianlike peaks in the absorption spectrum are associated with the exciton–exciton scattering states. •The exciton gas momentum distribution can be determined by the absorption spectrum via the biexciton wave functions.},
doi = {10.1016/J.AOP.2013.06.006},
journal = {Annals of Physics (New York)},
issn = {00034916},
number = ,
volume = 336,
place = {United States},
year = {2013},
month = {9}
}