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The properties of the band spectrum parameters in the band‐inversion region of narrow‐gap Ph 1− x Sn x Te
Author(s) -
Dmitriev A. I.,
Lashkarev G. V.,
Orletskii V. B.,
Tovstyuk K. D.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221350217
Subject(s) - anisotropy , effective mass (spring–mass system) , band gap , matrix element , exponential function , physics , alloy , electron , condensed matter physics , spectral line , electronic band structure , composition (language) , analytical chemistry (journal) , materials science , chemistry , mathematical analysis , mathematics , quantum mechanics , linguistics , philosophy , chromatography , particle physics , composite material
A calculation technique based on experimental data is proposed for determining the Dimmock model parameters m ⊥ ±, ‖ 1 ± , P ⊥ ,‖ of narrow‐gap Pb i− x Sn x Te alloys. From the six‐band model, a relation is derived to describe the dependence of the current carrier g ‐factor on carrier concentration of the alloy composition. The composition dependence of the matrix element of the momentum operator (MOME) P ⊥ as derived earlier by the authors is studied over a wide range of compositions x . The analysis of experimental data reveals an anomalous behaviour of P ⊥ in the region of band inversion. The dependence P ⊥( x ) may be approximated by an exponential function. The dependences of effective masses, the g ‐factor of electrons and holes, as well as mass anisotropy coefficients, on composition and carrier concentration are analyzed on the assumption that P is a function of composition. The results of the analysis are compared with experiment. It is shown that the disagreement between theory and experiment can be substantially reduced by substituting P ⊥ ( x ) for P ⊥ = const. Relations are given by which the carrier parameters in Pb 1− x Sn x Te can be calculated in terms of the Dimmock model.