The properties of the band spectrum parameters in the band‐inversion region of narrow‐gap Ph1−xSnxTe

Abstract

AbstractA calculation technique based on experimental data is proposed for determining the Dimmock model parameters m , P⊥,‖ of narrow‐gap Pbi−xSnxTe 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 Pb1−xSnx Te can be calculated in terms of the Dimmock model.