On the Mott formula for thermopower of non-interactions electrons in quantum point contacts
Mesoscale and Nanoscale Physics
2009-11-11 v1
Abstract
We calculate the linear response thermopower S of a quantum point contact using the Landauer formula and therefore assume non-interacting electrons. The purpose of the paper, is to compare analytically and numerically the linear thermopower S of non-interacting electrons to the low temperature approximation, S^1=(pi^2/3e)k^2 T d(ln G(mu,T=0))/dmu, and the so-called Mott expression, S^M=(pi^2/3e)k^2 T d(ln G(mu,T))/dmu, where G(mu,T) is the (temperature dependent) conductance. This comparison is important, since the Mott formula is often used to detect deviations from single-particle behavior in the thermopower of a point contact.
Cite
@article{arxiv.cond-mat/0506050,
title = {On the Mott formula for thermopower of non-interactions electrons in quantum point contacts},
author = {Anders Mathias Lunde and Karsten Flensberg},
journal= {arXiv preprint arXiv:cond-mat/0506050},
year = {2009}
}
Comments
To be published in Journal of Physics: Condensed Matter (7 pages, 2 figures.)