1997/10/27 by S. A. van Langen, P. G. Silvestrov, C. W. J. Beenakker · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1006/spmi.1997.0532
published as Superlattices and Microstructures 23, 691 (1998) · To be published in Superlattices and Microstructures, special issue on the occasion of Rolf Landauer's 70th birthday
arxiv created 1997/10/27 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 pi3 kB2 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).