Quantum Theory of the Dielectric Constant in Real Solids
1962/04/15 by Stephen L. Adler · 1,239 citations
Chemistry · Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Chemistry #Classical mechanics #Condensed matter physics #Dielectric #Dipole #Discrete dipole approximation #Electric field #Electromagnetic field #Electron and X-Ray Spectroscopy Techniques #Geophysical and Geoelectrical Methods #Local field #Lorentz transformation #Physics #Polarization (electrochemistry) #Quantum electrodynamics #Quantum mechanics #Surface and Thin Film Phenomena #Transverse plane
paper · doi:10.1103/physrev.126.413
published in Physical Review 126(2), 413-420 (American Institute of Physics)
openalex publication_date 1962/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract
The quantum theory of the frequency- and wave-number-dependent dielectric constant in solids is extended in order to study the full dielectric constant tensor and to include local-field effects. Within the framework of the band theory, an explicit expression for the dielectric constant tensor, neglecting local-field effects, is derived. In addition to components which are the ordinary longitudinal and transverse dielectric constants, there are components which couple transverse and longitudinal electromagnetic disturbances. A formalism for calculating the local-field corrections to the dielectric constant is developed in detail for the case of the longitudinal dielectric constant of a cubic insulating solid. In the coarsest (dipole) approximation, the theory gives a Lorenz-Lorentz formula modified by self-polarization corrections arising from the polarization of the charge in a unit cell by its own field.
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