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Thermopower of Single-Channel Disordered and Chaotic Conductors | | S. A. van Langen
; P. G. Silvestrov
; C. W. J. Beenakker
; | | Date: |
27 Oct 1997 | | Journal: | Superlattices and Microstructures 23, 691 (1998) DOI: 10.1006/spmi.1997.0532 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | 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/3eDelta (where T is the temperature and Delta the mean level spacing). Upon raising the temperature the distribution crosses over to an exponential form exp(-2|S|eT/Delta). 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-eta} log|S| for large S (with eta=1,2 depending on the presence or absence of time-reversal symmetry). | | Source: | arXiv, cond-mat/9710280 | | Services: | Forum | Review | PDF | Favorites | |
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