Thermopower of Single-Channel Disordered and Chaotic Conductors

dc.creatorvan Langen, S. A.
dc.creatorSilvestrov, P. G.
dc.creatorBeenakker, C. W. J.
dc.date1997-10-27
dc.date.accessioned2026-07-07T03:09:20Z
dc.date.available2026-07-07T03:09:20Z
dc.descriptionWe 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).
dc.descriptionTo be published in Superlattices and Microstructures, special issue on the occasion of Rolf Landauer's 70th birthday
dc.identifierhttps://arxiv.org/abs/cond-mat/9710280
dc.identifierhttp://arxiv.org/abs/cond-mat/9710280
dc.identifierSuperlattices and Microstructures 23, 691 (1998)
dc.identifierdoi:10.1006/spmi.1997.0532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27845
dc.subjectDisordered Systems and Neural Networks
dc.titleThermopower of Single-Channel Disordered and Chaotic Conductors
dc.typetext

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