Abstract

A definition of the electric polarization of an insulating crystalline solid is given in terms of the centers of charge of the Wannier functions of the occupied bands. The change of this quantity under an adiabatic evolution of the Hamiltonian has previously been shown to correspond to the physical change in polarization. Here, we show that the polarization as defined above also has a direct and predictive relationship to the surface charge which accumulates at an insulating surface or interface.

Keywords

Polarization (electrochemistry)Adiabatic processElectric fieldCondensed matter physicsHamiltonian (control theory)Polarization densityElectric chargeMaterials scienceSurface chargePhysicsQuantum mechanicsChemistryMagnetic fieldMagnetization

Affiliated Institutions

Related Publications

Publication Info

Year
1993
Type
article
Volume
48
Issue
7
Pages
4442-4455
Citations
1247
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

1247
OpenAlex

Cite This

David Vanderbilt, R. D. King-Smith (1993). Electric polarization as a bulk quantity and its relation to surface charge. Physical review. B, Condensed matter , 48 (7) , 4442-4455. https://doi.org/10.1103/physrevb.48.4442

Identifiers

DOI
10.1103/physrevb.48.4442