ARCPHOTOVOLTAICSCENTRE OFEXCELLENCE2010/11ANNUAL REPORTPeak at 1.205eV <strong>of</strong> the conductance vs. energy plot fordifferent values <strong>of</strong> σ for configurational disorder (left).Conductance vs. energy plot with peak at 1.573 eV fordifferent values <strong>of</strong> σ for morphological disorder (right).Conductance given in units <strong>of</strong> 2e 2 /h.Figure 4.5.48Planar view <strong>of</strong> the double barrierstructure formed by Si QDs in SiO 2matrix, with SiC barriers <strong>of</strong> 2nmwidth (left). Mean diameter <strong>of</strong> QDsis 1.8nm. I-V characteristics for thedouble barrier structure with SiO 2and SiC barriers at temperature 10Kand 300K (right).Figure 4.5.494.5.3.2 Energy Selective ContactsThe requirement for a narrow range <strong>of</strong> contactenergies can be met by an energy selectivecontact (ESC) based on double barrier resonanttunnelling. Tunnelling to the confined energy levelsin a quantum dot layer embedded between twodielectric barrier layers, can give a conductancesharply peaked at the line up <strong>of</strong> the Fermi level onthe ‘hot’ absorber side <strong>of</strong> the contact with the QDconfined energy level. Conductance both belowthis energy and above it should be very significantlylower. This is the basis <strong>of</strong> the current work ondouble barrier resonant tunnelling ESCs.4.5.3.2.1 Modelling <strong>of</strong> QD structuresResearchersBinesh Puthen-Veettil, Dirk König,Gavin ConibeerWe developed a robust 2 dimensional modelfor describing the transport properties throughquantum dot structures and have used this modelto understand the filtering characteristics <strong>of</strong> EnergySelective Contacts (ESCs). In this way we are ableto compute the effective filtering in 2 dimensionsby running numerical simulations. The model isdeveloped from a discretized Schrödinger equationby considering the sample volume as a collection<strong>of</strong> discrete points and using an effective massapproximation method over the entire volume.During fabrication <strong>of</strong> the quantum dots in adielectric matrix for selective energy contacts,different kinds <strong>of</strong> irregularities can be presentin the structure, the major disorders beingconfigurational (disorders in the position <strong>of</strong> thedots) and morphological (disorders in the size <strong>of</strong>the dots). The extent to which configurational andmorphological disorders determine the electricalproperties <strong>of</strong> the overall structure is investigatedusing simulation runs <strong>of</strong> the model. The disordersare assumed to follow a normal distribution fromthe mean position and size. The results show theoutcome <strong>of</strong> an average <strong>of</strong> 1000 simulation runs withdifferent standard deviation (σ) values.Figure 4.5.48 shows the simulation results forresonance in 2.6nm Si dot in SiO 2matrix underdifferent orders <strong>of</strong> configurational disorders. Asthe disorders increases from σ =0 to σ =1 theconductance decreases by 53%, but the resonantenergy remains the same at 1.205eV. This showsthe confined energy in the QDs does not changeas their size is fixed but the effective filteringreduces dramatically. Figure 4.5.49 shows thesimulation results for a 2.2 nm Si dot in a SiO 2matrix under different orders <strong>of</strong> morphologicaldisorders. As the disorder increases from σ =0 toσ = 1, the conductance decreases by 60% and theresonant peak remains the same at 1.573eV. Butthe morphological disorders cause major impactcompared to configurational disorders because <strong>of</strong>the widening <strong>of</strong> the energy selection window. Thisis due to the distribution in size <strong>of</strong> the QDs, sinceQDs with different sizes have different resonantenergies which are slightly different from the meanresonant energy, the average <strong>of</strong> them all increasethe spread <strong>of</strong> the resonant peak thus reducing theefficiency <strong>of</strong> the double barrier structure as energyselective contacts.A planar representation <strong>of</strong> the double barrierstructure is shown as in Fig. 4.5.49 (left). The barriersare usually high band gap dielectric materials likeSiO 2, Si 3N 4or SiC. SiC barriers have advantagesover SiO 2barriers that SiC barriers in double barrierstructure makes a very good diffusion barrierfor silicon during processing, which can yield a84
250 – 500 nm 500 – 550 nm 550 – 600 nmARCPHOTOVOLTAICSCENTRE OFEXCELLENCE2010/11ANNUAL REPORT600 – 650 nm 650 – 700 nm 700 – 750 nmPrinciple <strong>of</strong> oa-IV, shown for electron injection into the sample(left). If free carriers obtain additional energy by a massivephoton flux significantly above the band gap, a smaller bias fieldis required to reach a resonant condition. Sample stage <strong>of</strong> oa-IV(right); wavelength range indicated. Every 50 nm spectral rangehas a photon flux <strong>of</strong> approximately 50 Suns.Figure 4.5.50structure with uniform QD size in the transportdirection thus ensuring sharp resonances at theresonant energies <strong>of</strong> the structure. Since theconductance <strong>of</strong> the structure is more in the case <strong>of</strong>SiC barriers because <strong>of</strong> the lower barrier height <strong>of</strong>SiC, thicker barriers can be used to give the sameconductance as SiO 2, for which the very thin barriersare difficult to fabricate.Figure 4.5.49 (right) shows the I-V characteristics forthe double barrier QD structure with SiO 2dielectricand SiC barriers at temperature 10K and 300K.As can be seen, the structures with SiC potentialbarriers have higher current density at both lowtemperature and at room temperature. As thetemperature increases, the current density as well asthe width <strong>of</strong> the resonant peak increases. Also, thenegative differential resistances appear at slightlylower voltage in structures with SiC barrier thanthat in structures with SiO 2barrier. This is due to theincreased leakage and thus the lower confinementenergy for the SiC.4.5.3.2.2 Characterization <strong>of</strong> EnergySelective Contacts using ‘Opticallyassisted I-V’Researchers:Dirk König, Stephan Michard (RWTH Aachen,Germany), Binesh Puthen-VeettilCollaboration with:Daniel Hiller (IMTEK, <strong>University</strong> <strong>of</strong>Freiburg, Germany)Optically assisted IV (oa-IV) is a new characterisationmethod which investigates an energy selectivecontact (ESC) fabricated on a Hot Carrier Absorbermaterial with optical excitations in a pre-definedwave length range. If a very large optical generationrate G optexists adjacent to the ESC, it can probe thisHC population immediately next to the contact.Alternatively, if the HC population within theabsorber is known, the ESC can be tested for itsenergy selectivity. The basic principle is to providefree carriers with additional energyby optical means, see Fig. 4.5.50. Theresonant level <strong>of</strong> the ESC can thenbe reached by carriers at a lower biasfield, shifting the tunnelling resonance<strong>of</strong> the ESC – here a QD array – to lowerbias voltages V bias.Samples based on Si were providedby the <strong>University</strong> <strong>of</strong> Freiburg, seeFig. 4.5.51. Si is very far from beingan ideal Hot Carrier Absorber due tothe complete lack <strong>of</strong> a gap betweenoptical and acoustic phonon modesand hence no propensity to slowcarrier cooling. Furthermore, Sihas an indirect band gap in thespectral range <strong>of</strong> optical excitationwhich renders the interpretation<strong>of</strong> measured data rather complexdue to the absorption coefficient a Sichanging over two orders <strong>of</strong> magnitude. However,for initial pro<strong>of</strong> <strong>of</strong> concept it is adequate providingthe excitation <strong>of</strong> hot electron-hole pairs in thematerial is sufficiently large and collection can bemade from very close to the ESC.A Xenon (Xe) arc lamp is a continuous light sourcewith one <strong>of</strong> the most constant photon fluxes F hninthe spectral range 1000 to 500 nm. Nevertheless,there are significant deviations in particular in thelong wavelength region (> 800 nm). We thereforecompare oa-IV curves which have the same V biasfor the current transition from forward to reversedirection, V bias(j → 0), indicating a constant carrierproduct (constant quasi-Fermi level positions) atthe ESC. Under these conditions, the current densityas a function <strong>of</strong> quasi-Fermi level position can beassumed to be identical for these curves and thiscurrent density can be treated as a constant <strong>of</strong>fsetfor each V biasvalue.For liquid nitrogen (LN 2, T = 77 K) measurements,resonant tunnelling behaviour (negative differentialresistance – NDR) was detected for all spectralranges. With the method mentioned above, onlythe oa-IV curves from 800 – 750 nm and 650 –Sample structure for oa-IV (upper).Contact area on QD array is 1mm 2 , with ≈ 10 10 QDs. Opticalgeneration rate G optwithinballistic transport rangeto the ESC and its relativechange for photon wavelength intervals used inoa-IV (middle). For these, theabsorption coefficient <strong>of</strong> c-Sia Siand the photon flux <strong>of</strong> theXe arc lamp F hnwere used(lower). Full green rectanglesshow range <strong>of</strong> measurementswhich can be compared.Dashed green rectangles showmeasurements which cannotbe compared, but approachthe high optical injection limit.Please note breaks on leftordinate in both graphs.Figure 4.5.5185