T-matrix analysis of biexcitonic correlations in the nonlinear optical response of semiconductor quantum wells

R. Takayama, Nai-Hang Kwong, I. Rumyantsev, M. Kuwata-Gonokami, Rudolf Binder

Research output: Contribution to journalArticle

87 Citations (Scopus)

Abstract

A detailed numerical analysis of excitom-exciton interactions in semiconductor quantum wells is presented. The theory is based on the dynamics-controlled truncation formalism and evaluated for the case of resonant excitation of 1s-heavy-hole excitons. It is formulated in terms of standard concepts of scattering theory, such as the forward-scattering amplitude (or T-matrix). The numerical diagonalization of the exciton-exciton interaction matrix in the 1s-approximation yields the excitonic T-matrix. We discuss the role of the direct and exchange interaction in the effective two-exciton Hamiltonian, which determines the T-matrix, evaluated within the 1s-subspace, and also analyze the effects of the excitonic wave function overlap matrix. Inclusion of the latter is shown to effectively prevent the 1s-approximation from making the Hamiltonian non-hermitian, but a critical discussion shows that other artefacts may be avoided by not including the overlap matrix. We also present a detailed analysis of the correspondence between the excitonic T-matrix in the 1s-approximation and the well-known T-matrix governing two-particle interactions in two dimensional systems via short-range potentials.

Original languageEnglish (US)
Pages (from-to)445-462
Number of pages18
JournalEuropean Physical Journal B
Volume25
Issue number4
StatePublished - Feb 2 2002

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Semiconductor quantum wells
quantum wells
Excitons
matrices
excitons
Hamiltonians
approximation
Forward scattering
Particle interactions
Exchange interactions
interactions
forward scattering
particle interactions
Wave functions
scattering amplitude
numerical analysis
artifacts
Numerical analysis
LDS 751
wave functions

Keywords

  • 03.65.Nk Scattering theory
  • 71.35.Gg Exciton-mediated interactions
  • 78.67.De Quantum wells

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

T-matrix analysis of biexcitonic correlations in the nonlinear optical response of semiconductor quantum wells. / Takayama, R.; Kwong, Nai-Hang; Rumyantsev, I.; Kuwata-Gonokami, M.; Binder, Rudolf.

In: European Physical Journal B, Vol. 25, No. 4, 02.02.2002, p. 445-462.

Research output: Contribution to journalArticle

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AU - Binder, Rudolf

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