On the Mott formula for thermopower of non-interactions electrons in quantum point contacts

Details On the Mott formula for thermopower of non-interactions electrons in quantum point contacts On the Mott formula for thermopower of non-interactions electrons in quantum point contacts

2005-06-02

arxiv.org/abs/cond-mat/0506050v1

J. Phys.: Condens. Matter 17 (2005) 3879-3884.

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To be published in Journal of Physics: Condensed Matter (7 pages, 2 figures.)

Scientific paper

10.1088/0953-8984/17/25/014

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.

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