Dynamical matrices and free energies

Stefan K. Estreicher, Mahdi Sanati

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


The calculation of the entire dynamical matrix of a periodic supercell (containing a defect or not) provides several most useful pieces of information. At first, the eigenvalues of this matrix are all the normal mode frequencies of the cell, including the local, pseudolocal, and resonant modes associated with the defect under study. The eigenvalues can also be used to construct phonon densities of state which in turn allow the calculation of (Helmholtz) free energies, vibrational entropies, and specific heats. The eigenvectors of the dynamical matrix can be used to prepare a system in thermal equilibriumat a desired temperature. This allows constant-temperature MD simulations to be peformed without thermalization or thermostat. Applications to the calculation of vibrational lifetimes and decay channels are discussed. Finally, the vibrational, rotational, and charge-carrier contributions to the free energy are described. Configurational entropies are calculated in realistic systems.

Original languageEnglish
Title of host publicationTheory of Defects in Semiconductors
EditorsDavid Drabold, Stefan Estreicher
Number of pages20
StatePublished - Oct 27 2006

Publication series

NameTopics in Applied Physics
ISSN (Print)0303-4216
ISSN (Electronic)1437-0859


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