Localized Basis for Lattice Vibrations.

Abstract

For the case of electrons in a periodic lattice there exist extended basis functions (Bloch waves) and localized basis functions (Wannier functions). It is shown that also for lattice vibrations there exists, in addition to the usual extended basis functions (normal modes), a set of localized basis functions. These are non-trivial only for lattices with several atoms per unit cell. Examples are worked out and discussed. These functions appear to be of interest for the treatment of defects and other problems calling for a localized description. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0756671

Entities

People

  • Walter Kohn

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Crystal Lattice Vibrations
  • Crystal Lattices
  • Crystal Structure
  • Electrons
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Theoretical Analysis.

Technology Areas

  • Microelectronics