Coulomb potential inside a large finite crystal
L N Kantorovich; I I Tupitsyn
Журнал:
Journal of Physics: Condensed Matter
Дата:
1999-08-16
Аннотация:
We review long-range Coulomb interactions in systems consisting of periodically repeated replicas of identical unit cells containing a net dipole moment. Cases of both infinite and large finite samples of arbitrary shape are considered. The general result due to Smith (1981 Proc. Roy. Soc. Lond. A 375 475) for a large finite sample is considerably simplified. This allowed us to reveal further its physical meaning. We show that extra shape-dependent terms both in the electrostatic potential and energy have a pure macroscopic origin. We also suggest an alternative derivation for the Coulomb potential of a large finite sample of arbitrary shape which is believed to be simpler than the original one due to Smith.
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