Effects of the local configuration on the lattice dynamics of group-IV semiconductors
- 15 July 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 14 (2), 531-537
- https://doi.org/10.1103/physrevb.14.531
Abstract
The relative importance of short-range order and local topology versus long-range order in determining the vibrational properties of group-IV semiconductors is investigated. We have developed a cluster-Bethe-lattice method which treats a cluster of atoms with the short-range order and local topology therein exactly. The rest of the system is treated within the Bethe-Peierls approximation which retains the short-range tetrahedral order. We have studied the lattice vibration spectra corresponding to clusters of different sizes in the diamond structure. We find that the presence of rings of bonds have clear and discernible effects not found previously. The main feature of the perfect-crystal density of states is already present in small (∼ 30 atoms) clusters. We can conclude that, as in the electronic case, the density of vibrational states is governed by the local configurations.Keywords
This publication has 13 references indexed in Scilit:
- Density of phonon states in amorphous germanium and siliconSolid State Communications, 1975
- Vibrational properties of amorphous Si and GePhysical Review B, 1975
- "Cluster-Bethe-lattice" method: Electronic density of states of amorphous and crystalline homopolar solidsPhysical Review B, 1974
- New theoretical method to study densities of states of tetrahedrally coordinated solidsSolid State Communications, 1974
- Effect of Local Order on Phonon Density of StatesPhysical Review B, 1973
- Similarities in the Valence Bands of Amorphous and Crystalline GeTe Determined by X-Ray PhotoemissionPhysical Review Letters, 1973
- Phonon Spectra of Tetrahedrally Bonded SolidsPhysical Review Letters, 1972
- A molecular model for the vibrational modes in chalcogenide glassesJournal of Non-Crystalline Solids, 1972
- The Vibrational Properties of Disordered Systems: Numerical StudiesReviews of Modern Physics, 1972
- Structural model for amorphous silicon and germaniumJournal of Non-Crystalline Solids, 1971