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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Superlattices and microstructures 1998-03, Vol.23 (3-4), p.691-698
Hauptverfasser: van Langen, S.A., Silvestrov, P.G., Beenakker, C.W.J.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
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).
ISSN:0749-6036
1096-3677
DOI:10.1006/spmi.1997.0532