Thermopower of single-channel disordered and chaotic conductors
We show (analytically and by numerical simulation) that the zero-temperature limit of the distribution of the thermopowerSof a one-dimensional disordered wire in the localized regime is a Lorentzian, with a disorder-independent width of 4π3kB2T/3eΔ (whereTis the temperature and Δ the mean level spac...
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Veröffentlicht in: | Superlattices and microstructures 1998-03, Vol.23 (3-4), p.691-698 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We show (analytically and by numerical simulation) that the zero-temperature limit of the distribution of the thermopowerSof a one-dimensional disordered wire in the localized regime is a Lorentzian, with a disorder-independent width of 4π3kB2T/3eΔ (whereTis the temperature and Δ the 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 ofSthen has a cusp atS=0 and a tail ∝∣S∣−1−βln ∣S∣ for largeS(with β=1,2 depending on the presence or absence of t ime-reversal symmetry). |
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ISSN: | 0749-6036 1096-3677 |
DOI: | 10.1006/spmi.1997.0532 |