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Complete Report - University of New South Wales

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The phonon dispersions show that if the superlattice structure is engineered correctly, the<br />

mini-gaps can in principle be arranged such that they prevent the decay <strong>of</strong> optical phonons by<br />

interrupting the same mechanism. However the density <strong>of</strong> states (DOS) in Figure 4.5.25 and<br />

Figure 4.5.26 indicate that complete gaps in the DOS for all directions in reciprocal space<br />

only occur for the QD superlattice. Hence this mechanism <strong>of</strong> slowing carrier cooling should<br />

only be present in QD structures. Experimental evidence for this in the literature is being<br />

assessed and effects on effi ciencies calculated. However, to achieve such effects in practice,<br />

the structure would need to be fi nely tuned.<br />

A further effect under investigation is that <strong>of</strong> the QD interface with the matrix, on phonon<br />

dispersion. Figure 4.5.27 shows that with a s<strong>of</strong>t interface the mini-gaps group into doublets<br />

with a larger gap in the centre. This would improve the ease <strong>of</strong> fi ne tuning the QD superlattice<br />

such as to block the optical phonon decay. Further work on modelling such interfaces is<br />

underway.<br />

Figure 4.5.27: Dispersion curve <strong>of</strong><br />

acoustic phonons for 1nm3 QDs in a<br />

superlattice with 1nm spacing between<br />

QDs – incorporating s<strong>of</strong>t interface modes<br />

between QDs and matrix.<br />

Finally, some progress has been made<br />

towards predicting the effi ciencies that a<br />

Hot Carrier cell might achieve using the<br />

non-ideal properties <strong>of</strong> existing materials<br />

[4.5.21]. Preliminary computations show<br />

that, at the illumination level used for the<br />

experiments in [4.5.17, 4.5.18] (equivalent to about 2500 suns), effi ciencies <strong>of</strong> 50% could be<br />

achievable. This is in spite <strong>of</strong> thermal losses in state <strong>of</strong> the art materials such as the multiple-<br />

QW structures discussed elsewhere [4.5.17, 4.5.18], even though these have a non optimal<br />

band gap <strong>of</strong> 1.5 eV. This result compares to a calculated 54% effi ciency at these concentrations<br />

without any thermalisation losses at all [4.5.13]. Hence, at these concentrations the loss to<br />

thermalisation for existing materials is not large. However, these fi gures assume perfect<br />

energy selection at the contacts. Therefore, as operation at lower concentrations would be<br />

preferable and because <strong>of</strong> the diffi culties in the fabrication <strong>of</strong> optimal contacts, it is desirable<br />

to search for further reduction in carrier cooling and/or a reduction in the threshold injection<br />

levels at which this occurs. Phononic band gap engineering in superlattices seems a potential<br />

route to achieving this.<br />

4.5.7 Supporting project areas<br />

There are three projects associated with Third Generation Strand work but not directly<br />

concerned with either <strong>of</strong> Si nanostructures, Up-converters or Hot Carrier cells. These are<br />

continuing work on limiting effi ciency computer programs, coupling <strong>of</strong> light with surface<br />

plasmons and quantum antennae.<br />

90

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