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(a) Spontaneous decay rate Γ and (b) interference term 
of QEs in the structures described in Fig. 1. The solid line, dashed line and dotted line correspond to the cases with d = 1 nm, 2 nm and 4 nm, respectively. The other parameters are identical with those in Fig. 1. Red dotted line represents the corresponding result for a single sphere and two QEs without hotspots as shown in inset.
