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Phys. Rev. B 48, 4442–4455 (1993)

Electric polarization as a bulk quantity and its relation to surface charge

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David Vanderbilt and R. D. King-Smith
Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849

Received 26 January 1993; published in the issue dated 15 August 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.48.4442
DOI:
10.1103/PhysRevB.48.4442
PACS:
71.25.Tn, 73.20.At, 77.22.Ej