Thermopower of Single-Channel Disordered and Chaotic Conductors
Abstract
We show (analytically and by numerical simulation) that the zero-temperature limit of the distribution of the thermopower S of a one-dimensional disordered wire in the localized regime is a Lorentzian, with a disorder-independent width of 4 pi^3 k_B^2 T/3e\Delta (where T is the temperature and \Delta the mean level spacing). Upon raising the temperature the distribution crosses over to an exponential form exp(-2|S|eT/\Delta). We also consider the case of a chaotic quantum dot with two single-channel ballistic point contacts. The distribution of S then has a cusp at S=0 and a tail |S|^{-1-\beta} log|S| for large S (with \beta=1,2 depending on the presence or absence of time-reversal symmetry).
Keywords
Cite
@article{arxiv.cond-mat/9710280,
title = {Thermopower of Single-Channel Disordered and Chaotic Conductors},
author = {S. A. van Langen and P. G. Silvestrov and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:cond-mat/9710280},
year = {2007}
}
Comments
To be published in Superlattices and Microstructures, special issue on the occasion of Rolf Landauer's 70th birthday