Electronic polarization in the ultrasoft pseudopotential formalism
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An expression is given for the electronic polarization of an insulating crystal within the ultrasoft pseudopotential scheme. The pseudopotential charge-augmentation terms modify the usual Berry-phase expression, and also give rise to a second term that takes the form of a conventional expectation value.
6 pages. Uses REVTEX macros. Also available at http://www.physics.rutgers.edu/~dhv/preprints/index.html#dv_uspol
6 pages. Uses REVTEX macros. Also available at http://www.physics.rutgers.edu/~dhv/preprints/index.html#dv_uspol