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What would be the appropriate method of calculating the difference in charges for this type of system?

For composite systems it is usually something like:

$$ \Delta\rho = \rho_{system}-\sum_{i=1}^{N}\rho_{i},$$

where N is the total number of subsystems. So here it would be something like:

$$ \Delta\rho = \rho_{bulk}-\rho_{slab}\; \text{?}$$

And for example for a finite nanowire, does the same apply (at the ends of the wire)?

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