Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures Page: 71
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increases as 1/T, so one still can still expect the overall enhancement to grow as the
I address here also the attraction of electron-hole pairs towards the
nanoparticles within the QW. While it is clear that a single hole or electron will be
attracted to a nanoparticle, it is not intuitively obvious that an electron-hole pair will
experience a similar attraction. Instead one might expect that the primary interaction
between the e-h pair and its image would be a dipole-dipole in nature which would
produce a negligible attraction. To investigate this problem I solved for the acceleration
of the center-of-mass of the e-h pair for a variety of orientations and distances from the
NP surface. For simplicity I take the separation between the electron and hole to be
equal to the exciton Bohr radius in InGaN, ~3nm. The net acceleration on the system is
(see Appendix A)
e2 1 1
acm(r, e) = d + rex Sin(O) (d -m rex Sin(O) 2
(2 d + (5.5.2)
8 2d mh + me Sin( )
ex mh + m ex S )
where rex is the separation between the electron and hole, d the distance to the surface
of the NP, me,h the masses of the electron and hole, p = memh/me+mh (i.e. the reduced
mass of the e-h pair), and 0 the orientation of the pair with respect to the surface. Figure
5.8 presents a schematic of the system used for calculations and the results of the
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Llopis, Antonio. Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures, dissertation, May 2012; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc115113/m1/81/: accessed February 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .