22.01.2014 Views

nanoelectronics - Institut d'Études Scientifiques de Cargèse (IESC)

nanoelectronics - Institut d'Études Scientifiques de Cargèse (IESC)

nanoelectronics - Institut d'Études Scientifiques de Cargèse (IESC)

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.

Tuesday<br />

Tuesday, October 23<br />

Random-matrix theory of thermoelectricity<br />

Carlo Beenakker<br />

Instituut-Lorentz, Lei<strong>de</strong>n University, P.O. Box 9506, 2300 RA Lei<strong>de</strong>n, The Netherlands<br />

Since Landauer, Büttiker, and Imry’s work in the 1980’s we know that the study of electrical<br />

conductance in mesocopic systems is related to the study of the statistical properties of<br />

scattering matrices. Random-matrix theory was <strong>de</strong>veloped as a powerful tool to make<br />

universal predictions, in<strong>de</strong>pen<strong>de</strong>nt of microscopic <strong>de</strong>tails of the system. Thermoelectric<br />

transport properties typically involve energy <strong>de</strong>rivatives of the conductance, and one might<br />

won<strong>de</strong>r whether random-matrix theory can play an instructive role as well. The relevant<br />

matrix is the socalled time-<strong>de</strong>lay matrix, which contains dynamical information on the<br />

electron scattering. We review some ol<strong>de</strong>r work on the random-matrix theory of<br />

thermoelectricity, and also some recent work on thermal conduction in topological<br />

superconductors.<br />

General background material: ArXiv:0904.1432<br />

__________________________________________________________________________<br />

Thermoelectric Properties of Semiconductor Nanostructures<br />

Laurens W. Molenkamp<br />

Physikalisches <strong>Institut</strong> (EP3) <strong>de</strong>r Universität Würzburg, Am Hubland, 97074 Würzburg<br />

Thermoelectric experiments on nanostructures are often complicated by the need to apply a<br />

temperature difference of a few K across a <strong>de</strong>vice a few 100 nm in size. In semiconductors,<br />

such large gradients lead to very strong phonon drag effects, that overwhelm the electronic<br />

thermoelectric effects a transport physicist usually is interested in.<br />

Over the years, we have <strong>de</strong>veloped a current heating technique that utilizes the relatively<br />

small electron-acoustic phonon coupling in semiconductors to create a thermal gradient in<br />

the electronic system only. This has allowed us to study in <strong>de</strong>tail the thermoelectric<br />

properties of quantum point contacts and quantum dots. More recently, we have started to<br />

apply the technique to spintronic nanostructures. In this talk, I will present some of our recent<br />

results in this direction, with examples such as the thermoelectric properties of a dot in the<br />

Kondo regime, thermal rectification and the diffusion thermopower of (Ga,Mn)As.

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

Saved successfully!

Ooh no, something went wrong!