1998
DOI: 10.1103/physrevb.57.5742
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Dynamical-charge neutrality at a crystal surface

Abstract: For both molecules and periodic solids, the ionic dynamical charge tensors which govern the infrared activity are known to obey a dynamical neutrality condition. This condition enforces their sum to vanish (over the whole finite system, or over the crystal cell, respectively). We extend this sum rule to the non trivial case of the surface of a semiinfinite solid and show that, in the case of a polar surface of an insulator, the surface ions cannot have the same dynamical charges as in the bulk. The sum rule is… Show more

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Cited by 25 publications
(25 citation statements)
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“…We have shown in Ref. [17] how to regolarize such an indeterminate sum using the appropriate physical criterion: to the present purposes, suffices to say that the dynamical neutrality of the interface, discussed above, is the crucial property ensuring the correct result.…”
Section: Figmentioning
confidence: 96%
See 2 more Smart Citations
“…We have shown in Ref. [17] how to regolarize such an indeterminate sum using the appropriate physical criterion: to the present purposes, suffices to say that the dynamical neutrality of the interface, discussed above, is the crucial property ensuring the correct result.…”
Section: Figmentioning
confidence: 96%
“…We have recently discovered a novel sum rule for the dynamical charges at the surface of a semi-infinite crystal, [17] which is easily generalized to the case of an interface between a pair of semiinfinite crystals. The present (001) geometry is a particularly simple example, where the meaning of our sum rule can be made clear without any formal derivations.…”
Section: Figmentioning
confidence: 99%
See 1 more Smart Citation
“…We notice that the dynamical charges in the surface region deviate considerably from their bulk value, although they converge rather fast to it. A corollary of the dynamical-neutrality theorem, as applied to the [001] geometry considered here, states the the sum of the dynamical charges in the surface planes must add up to one half of the corresponding bulk value (with the appropriate sign) [15]. This sum rule-which can be regarded as the surface analogue of the popular acoustic sum rule for the bulk [16]-is very accurately fullfilled by our calculations.…”
Section: Surface Dynamical Chargesmentioning
confidence: 68%
“…This fact implies-owing to a recently discovered theorem [15]-that the surface region must also be dynamically neutral. We notice that the dynamical charges in the surface region deviate considerably from their bulk value, although they converge rather fast to it.…”
Section: Surface Dynamical Chargesmentioning
confidence: 99%