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Optical properties of In1xGaxAsyP1y from 1.5 to 6.0 eV determined by spectroscopic ellipsometry

S. M. Kelso*

D. E. Aspnes and M. A. Pollack

R. E. Nahory

  • Bell Laboratories, Murray Hill, New Jersey 07974 and Xerox Palo Alto Research Center, Palo Alto, California 94304

  • Bell Laboratories, Murray Hill, New Jersey 07974

  • Bell Laboratories, Holmdel, New Jersey 07733

  • *Present address.
  • Present address: Bell Laboratories, Crawford Hill Laboratory, Holmdel, New Jersey 07733.
  • Present address: Bell Laboratories, Murray Hill, New Jersey 07974.

Phys. Rev. B 26, 6669 – Published 15 December, 1982

DOI: https://doi.org/10.1103/PhysRevB.26.6669

Abstract

We report high-precision pseudodielectric function spectra ellipsometrically measured from 1.5 to 6.0 eV of In1xGaxAsyP1y alloys lattice-matched to InP. Analysis of third derivatives numerically calculated from these data yields critical-point energies, broadening parameters, phases, and amplitudes for the valence—conduction-band critical points E1, E1+Δ1, E0, and E0+Δ0. An observed inversion of the relative strengths of the E1 and E1+Δ1 transitions as a function of composition is attributed to the k-linear interaction. The phases indicate strong Coulomb interactions for E1 and E0, without the ambiguities present in the interpretation of electroreflectance spectra. The composition dependence of critical-point energies yields the following bowing parameters for E1, E1+Δ1, Δ1, and E0: 0.33±0.05, 0.26±0.04, -0.07±0.02, and -0.01±0.05 eV, respectively. We discuss our results with the use of the models of Van Vechten and others for the nonlinear variation of energy gaps and spin-orbit splittings with composition. The E0 structure may contain contributions from both Γ and Δ, as observed in Ge and GaAs. We reassign the feature previously attributed to E2 in InP to E0+Δ0, where Δ0 is the spin-orbit splitting of the second conduction band at k=0. Our improved methods of analysis allow spectroscopic ellipsometry to be used as a valuable supplement to modulation spectroscopy for the study of interband transitions in solids.

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