Erratum: Evaluation of the bond polarizabilities of zincblende‐type semiconductors: Application to the Raman spectra of disordered GaSb/AlSb (001) superlattices [Phys. Status Solidi B 249, No. 8, 1521–1530 (2012)]

Abstract

Equations with reference to the zinc blende primitive cell volume are slightly changed. (ii) On page 1522, the paragraph after Eq. (10) should be changed. The current version which reads: ''where p ij are the components of the elasto-optic tensor of the bulk crystal and e 1 , a, r 0 , V c the high frequency dielectric constant, the lattice constant, the first neighbor distance and the bond volume of the bulk crystal, respectively. (The bond volume, V c , is defined as the volume of the cube occupied by the tetrahedrally coordinated bond. This volume is equal to the zinc blend primitive cell volume.)'' should be replaced by this new paragraph: ''where p ij are the components of the elasto-optic tensor of the bulk crystal and e 1 , a, r 0 , V c the high frequency dielectric constant, the lattice constant, the first neighbor distance, and the volume of the zinc blende primitive cell, respectively.'' These corrections do not influence the results obtained in the article, since the calculations were done with the proper volume V c , which is the volume of the primitive zincblende cell.

Investigation of the disorder of Ga1–xAlxAs mixed crystals. Part I: Small concentrations

“…The value of P ab (0j) has been calculated using the relations of Ref. [24]. h(v j ) is the Bose-Einstein population factor.…”

“…with respect to the bond-length change, for either bond Ga-As and Al-As. The expressions giving the above four parameters are [24]…”

“…a, m, and v T are, respectively, the lattice constant, the reduced mass of the zincblende primitive cell and the frequency of the doubly degenerate transverse optical mode of the bulk zincblende crystal. B is the first-neighbor, short-range, noncentral atomic force constant [24].…”

“…Next, we calculate the Raman spectra of the modes with longitudinal displacements, distant from resonance conditions, using the BPM formalism [22,23]. For this purpose, we evaluate the values of the BP parameters for Ga-As and Al-As bonds using certain expressions [24] that involve experimentally measurable quantities, like dielectric and elasto-optic constants of the corresponding bulk crystals. Earlier, these BP values have been estimated either arbitrarily [15] with no clear physical meaning or by using simplifying approximations [16,17].…”

“…The corresponding D s2 (k) dynamical matrix that contains the interactions between the atoms of the bulk AlAs crystal described by the new primitive cell, can be constructed in the same way. Then, we can construct the dynamical matrix D s (k) of the mixed crystal from the D s1 (k) and D s2 (k) dynamical matrices [16,18,21,24]. It should be noted that the short-range interactions Ga-Al of the mixed crystal, are calculated by averaging the corresponding Ga-Ga and Al-Al elements of both D s1 (k) and D s2 (k) dynamical matrices before multiplying them by the corresponding ion masses.…”