We present a planar approach to the calculation of the dynamical matrix for polar semiconductor superlattices: in-plane and inter-plane Coulombic force constants are derived analytically. This technique obtains a fast convergence of the lattice summations and allows for a helpful comparison between the analytic expressions of single slab force constants and superlattice ones. The origin and the dispersive behavior of macroscopic interface modes are discussed in comparison to Fuchs and Kliewer surface branches. A numerical application to the (GaAs)3(AlAs)3 system is made in the framework of the bond-charge-model dynamics: the sensitivity of the microscopic interface vibrations to the interface force constants parametrization is pointed out by a few examples. © 1989.
Miglio, L., Colombo, L. (1989). A planar approach to the lattice-dynamics of polar semiconductor superlattices. SURFACE SCIENCE, 221(3), 486-512 [10.1016/0039-6028(89)90483-4].
A planar approach to the lattice-dynamics of polar semiconductor superlattices
MIGLIO, LEONIDA;
1989
Abstract
We present a planar approach to the calculation of the dynamical matrix for polar semiconductor superlattices: in-plane and inter-plane Coulombic force constants are derived analytically. This technique obtains a fast convergence of the lattice summations and allows for a helpful comparison between the analytic expressions of single slab force constants and superlattice ones. The origin and the dispersive behavior of macroscopic interface modes are discussed in comparison to Fuchs and Kliewer surface branches. A numerical application to the (GaAs)3(AlAs)3 system is made in the framework of the bond-charge-model dynamics: the sensitivity of the microscopic interface vibrations to the interface force constants parametrization is pointed out by a few examples. © 1989.
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