Interpolation of quaternary III-V alloy parameters with surface bowing estimations

Abstract

Articles you may be interested inOptical method of estimation of degree of atomic ordering within quaternary semiconductor alloys J. Appl. Phys. 112, 023102 (2012); 10.1063/1.4737574 Accurate ab initio predictions of III-V direct-indirect band gap crossovers Appl. Phys. Lett. 97, 091902 (2010); 10.1063/1.3485297 Study of piezoresistance under unixial stress for technologically relevant III-V semiconductors using wafer bending experimentsWe present the weighted-sum expression of quaternary parameter estimations via balancing surface bowing estimation errors. Expressions have been derived for both quaternary alloys A x B y C z D and A x B 1−x C y D 1−y and applied to the band gaps of AlGaInAs, AlGaInP, InAsPSb, GaInAsP, and GaInAsSb. Approximation can be improved by fitting known data of quaternary alloys and maximum deviations are less than 20 meV with respect to the lattice-matched polynomial expressions.

A convenient band-gap interpolation technique and an improved band line-up model for InGaAlAs on InP

“…Recently, an interpolation method with surface bowing estimations [17] had been developed for the quaternary III-V compound material. With the inclusion of balancing surface bowing estimation error, the band-gap energy of In 1 − x − y Ga x Al y As may be calculated with the expression of [21]:…”

“…Since the binary band-gap energies and ternary bowing values are the basis of any quaternary interpolation method, this inherit nature of the surface bowing interpolation method is deemed to provide a better fitting framework than the weighted-sum method. However, though the surface bowing interpolation method had been validated against the In 0.53 Ga 0.47 As-Al 0.48 In 0.52 As direct interpolation approach given in (3) [17], there is still no investigation on the applicability and the effectiveness of this method on experimentally measured In 1 − x − y Ga x Al y As band-gap energy. Consequently, the issue of bowing discrepancy is also left unaddressed.…”

“…We adopt the single-variable surface bowing interpolation method in which the correction term in (6c) is replaced by a single-variable expression [17].…”

“…Among the interpolation methods capable for the determination of strained band-gap energy, the multivariable technique [15] can only be fitted to one of the above results at a time, whereas the weighted-sum approach [16] requires tedious adjustment of independent ternary bowing parameters to incorporate the bowing effect. Recently, an improved interpolation method with surface bowing estimations was proposed by Mei [17], but there is still lack of a proper mechanism to address the bowing issue of In 1 − x − y Ga x Al y As on InP. Considering the disagreement arose on the degree of band-gap bowing in the reported results, multiple sets of interpolation input values will be needed to match the interpolation results to the respective experimental results if these interpolation techniques were to be used.…”

“…Other than demonstrating the capability of the proposed solution to address the bowing effect of experimental results via single parameter, a set of material parameters suitable for the band-gap interpolation of In 1 − x − y Ga x Al y As on InP will also be determined and presented in this work. Furthermore, the possible physical meaning of the adjustable parameter, which is resultant from mathematical derivation in Mei's work [17], will also be discussed.…”