There is a number of works about exciton-plasmon hybrid excitations (polaritons) in nanostructures, for example:



In these papers, exciton and plasmon are assumed to couple via electromagnetic field. However it is known that:

1) any configuration of electric field can be decomposed into longitudinal and transverse fields (Helmholtz decomposition);

2) plasmons interact only with the longitudinal electric field (density response), while excitons interact only with the transverse field.

So how excitons and plasmons couple to each other electromagnetically?



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