Thermopower of Single-Channel Disordered and Chaotic Conductors

Details Thermopower of Single-Channel Disordered and Chaotic Conductors Thermopower of Single-Channel Disordered and Chaotic Conductors

1997-10-27

arxiv.org/abs/cond-mat/9710280v1

Superlattices and Microstructures 23, 691 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

To be published in Superlattices and Microstructures, special issue on the occasion of Rolf Landauer's 70th birthday

Scientific paper

10.1006/spmi.1997.0532

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).

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