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Mixed Wannier-Bloch Functions for Electrons and Phonons in Periodic Systems

Mixed Wannier-Bloch Functions for Electrons and Phonons in Periodic Systems We introduce mixed Wannier-Bloch functions for studying electronic and vibrational spectra of periodic systems. These functions carry both spatial localization and limited spectral broadening, thereby combining the advantages of descriptions based on energy eigenstates (Bloch states) and position eigenstates (Wannier states). For the analysis of vibrational modes, a lattice position operator is introduced, analogous to the electronic Berry-phase position operator. Application to vitreous SiO 2 demonstrates that mixed Wannier-Bloch functions constitute a powerful tool for tracking fingerprints of short- and medium-range structural order in electronic and vibrational spectra. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Mixed Wannier-Bloch Functions for Electrons and Phonons in Periodic Systems

4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2006 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.96.216403
pmid
16803259
Publisher site
See Article on Publisher Site

Abstract

We introduce mixed Wannier-Bloch functions for studying electronic and vibrational spectra of periodic systems. These functions carry both spatial localization and limited spectral broadening, thereby combining the advantages of descriptions based on energy eigenstates (Bloch states) and position eigenstates (Wannier states). For the analysis of vibrational modes, a lattice position operator is introduced, analogous to the electronic Berry-phase position operator. Application to vitreous SiO 2 demonstrates that mixed Wannier-Bloch functions constitute a powerful tool for tracking fingerprints of short- and medium-range structural order in electronic and vibrational spectra.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jun 2, 2006

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