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Thermopower of Single-Channel Disordered and Chaotic Conductors

S. A. van Langen·P. G. Silvestrov·C. W. J. Beenakker
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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/3eΔ(where T is the temperature and Δthe mean level spacing). Upon raising the temperature the distribution crosses over to an exponential form exp(-2|S|eT/Δ). 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-β} log|S| for large S (with β=1,2 depending on the presence or absence of time-reversal symmetry).

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S. A. van Langen, P. G. Silvestrov, C. W. J. Beenakker. 1997-10-27. Thermopower of Single-Channel Disordered and Chaotic Conductors. https://doi.org/10.1006/spmi.1997.0532

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