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Lattice Dynamics for Superlattices
Author(s) -
Albuquerque E. L.,
Fulco P.,
Tilley D. R.
Publication year - 1988
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.2221460205
Subject(s) - superlattice , diatomic molecule , lattice (music) , transfer matrix , long wavelength limit , physics , boundary value problem , particle in a one dimensional lattice , statistical physics , periodic boundary conditions , wavelength , condensed matter physics , classical mechanics , theoretical physics , quantum mechanics , diffraction , computer science , molecule , reciprocal lattice , acoustics , computer vision
The acoustic and optic modes of a one‐dimensional model of a diatomic superlattice are considered. By employing a microscopic theory it is possible to explore the zone‐folding characteristics. The treatment is based on linear lattice dynamics with nearest neighbour interactions. The equations of motion for the different atoms (on either side) at two superlattice interfaces replace the boundary conditions used in continuum theories. This microscopic approach has the advantage that both optic and acoustic branches are described within a single formulation and without recourse to the long wavelength limit. The algebra, which is otherwise quite involved, is simplified by the use of transfer matrix techniques. The spectrum contains a number of interesting features whose underlying physical principles are discussed.