14.01.2013 Views

Prospects of Colloidal Nanocrystals for Electronic - Computer Science

Prospects of Colloidal Nanocrystals for Electronic - Computer Science

Prospects of Colloidal Nanocrystals for Electronic - Computer Science

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

448 Chemical Reviews, 2010, Vol. 110, No. 1 Talapin et al.<br />

Figure 64. (A) Size-dependent Siebeck coefficient (also known<br />

as thermopower) observed in superlattices <strong>of</strong> PbSe nanocrystals.<br />

Solid line shows the dependence <strong>of</strong> Siebeck coefficient on carrier<br />

concentration in bulk p-type PbSe. (B) A mechanism that can<br />

qualitatively explain enhancement and size-dependence <strong>of</strong> Siebeck<br />

coefficient in the nanocrystal solids. The electronic density <strong>of</strong> states<br />

is represented by the gray lines. The carrier concentration is<br />

represented by the area <strong>of</strong> the blue region, and the thermopower is<br />

approximately proportional to Ef - Eave, where Ef and Eave are the<br />

Fermi energy and average energy <strong>of</strong> conducting holes, respectively.<br />

See text <strong>for</strong> more detail. Reprinted with permission from ref 255.<br />

Copyright 2008 American Chemical Society.<br />

conductor and <strong>for</strong> a NC solid have opposite trends: <strong>for</strong> bulk<br />

phases, σ decreases with temperature due to increased role<br />

<strong>of</strong> electron-phonon interactions, whereas σ <strong>of</strong> NC solids<br />

typically increases, following the law σ ≈ exp(-T -1/R ),<br />

where R)1, 2, or 4 depends on the conduction mechanism<br />

(section 5.4). 267,314 Conductivity <strong>of</strong> NC solids increases with<br />

temperature due to facilitated interparticle coupling, typical<br />

<strong>for</strong> granular electronic systems. 314<br />

While improvements in ZT <strong>for</strong> nanostructured materials<br />

have generally been attributed to reductions in thermal<br />

conductivity, 254,651 the unique electronic structure <strong>of</strong> low<br />

dimensional semiconductors can also have a strong impact<br />

on thermopower and charge transport. 661 The impact <strong>of</strong> strong<br />

quantum confinement on thermopower <strong>of</strong> NC solids was<br />

recently studied by Wang et al. 255 When a temperature<br />

gradient was created across the NC film, an open circuit<br />

voltage Voc proportional to the temperature gradient was<br />

observed. The Seebeck coefficient was calculated as -dVoc/<br />

dT (e.g., a positive Seebeck coefficient implies that the cold<br />

region develops a higher potential than does the hot region).<br />

The dependence on NC size <strong>for</strong> thermopower is shown in<br />

Figure 64a. As the NC size decreases from 8.6 to 4.8 nm,<br />

the thermopower increases from 700 to 1150 µV/K. The<br />

positive sign <strong>of</strong> thermopower indicates that transport in these<br />

films was p-type. For comparable carrier concentrations, the<br />

PbSe NC solid exhibited a significant thermopower enhancement<br />

<strong>of</strong> several hundred µV/K relative to bulk PbSe. 255 This<br />

enhancement in thermopower was attributed to the presence<br />

<strong>of</strong> the sharp peaks in the NC solid DOS relative to the bulk<br />

DOS. The thermopower is approximately proportional to the<br />

difference between the Fermi energy (Ef) and average mobile<br />

carrier energy (Eave). In a bulk material with parabolic bands,<br />

the Fermi-Dirac occupation function gives a wide distribution<br />

<strong>of</strong> carrier energies (schematically shown in Figure 64b,<br />

left). The DOS <strong>of</strong> zero-dimensional quantum dots differs<br />

from the DOS <strong>of</strong> a bulk semiconductor (Figure 64b, middle<br />

and right). 237,254,675 It has been predicted the thermoelectric<br />

power factor (S 2 σ) can be greatly enhanced when the<br />

chemical potential is within a few kT’s <strong>of</strong> the deltalike<br />

function <strong>of</strong> the ground state and/or one <strong>of</strong> the excited<br />

states. 663 Aside from enhanced thermopower, nanomaterials<br />

should also benefit from a relaxation in the Wiedemann-Franz<br />

law because it loses validity in materials with a delta-like<br />

DOS. Relative to bulk materials, nanostructured materials<br />

can have an increased ratio <strong>of</strong> electrical conductivity to<br />

electronic thermal conductivity, yielding overall greater<br />

values <strong>of</strong> ZT. 667 Another plausible mechanism leading to<br />

enhanced thermopower in nanostructured solids is the<br />

alteration <strong>of</strong> scattering mechanisms, which can lead to carrier<br />

energy filtering. 681<br />

Besides obvious interest in thermoelectric applications <strong>of</strong><br />

NC solids, thermopower measurements are proven to be a<br />

very powerful technique in fundamental studies <strong>of</strong> electronic<br />

structure and doping <strong>of</strong> conventional semiconductors. In<br />

particular, it can unambiguously point to the type <strong>of</strong> carriers<br />

responsible <strong>for</strong> charge transport and provide valuable in<strong>for</strong>mation<br />

on the Fermi energy under particular experimental<br />

conditions. Because thermopower is measured under opencircuit<br />

conditions, it is not affected by contact resistance. In<br />

contrast, the data obtained by current measurements in the<br />

field-effect transistor configuration can be strongly affected<br />

by nature <strong>of</strong> the contacts <strong>for</strong>med between the channel and<br />

electrodes.<br />

If the electrical conductivity <strong>of</strong> NC solids can be improved,<br />

these materials will represent an emerging class <strong>of</strong> inexpensive<br />

and scalable TE materials. To compete with commercial<br />

thermoelectric materials, the conductivity <strong>of</strong> NC solids should<br />

be increased by at least 2-3 orders <strong>of</strong> magnitude. This can<br />

be done by either increasing the carrier concentration or<br />

improving mobility. Increasing carrier concentration generally<br />

results in a decrease <strong>of</strong> thermopower, but could enhance<br />

ZT up until a maximum S 2 σ is reached. A more promising<br />

route to improve ZT is to improve mobility (e.g., reduce<br />

carrier scattering). <strong>Colloidal</strong> NCs embedded in a host material<br />

would be an interesting system that may exhibit a reduction<br />

in carrier scattering. Furthermore, if the reduction in carrier<br />

scattering has a favorable energy dependence, thermopower<br />

could be enhanced due to energy filtering as proposed in ref<br />

681. In this ideal case, electrical conductivity and thermopower<br />

could be enhanced simultaneously.<br />

8. Outlook and Future Directions<br />

<strong>Colloidal</strong> “bottom-up” synthesis and self-assembly <strong>of</strong>fer<br />

the precision <strong>of</strong> size/shape engineering and placement <strong>of</strong><br />

semiconductor, plasmonic, and magnetic components going<br />

far beyond the capabilities <strong>of</strong> current top-down lithographic<br />

techniques. The modular design <strong>of</strong> electronic materials by<br />

assembling these solution-processed functional building<br />

blocks can make a significant impact on the development <strong>of</strong>

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!