Failure of the Wiedemann-Franz Law in Mesoscopic Conductors

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We study the effect of mesoscopic fluctuations on the validity of the Wiedemann--Franz (WF) law for quasi-one-dimensional metal wires and open quantum dots. At temperatures much less than the generalized Thouless energy, E_c, the WF law is satisfied for each specific sample but as the temperature is raised through E_c a sample-specific correction to the WF law of order 1/g appears (g is the dimensionless conductance) and then tends to zero again at high temperatures. The mesoscopic violation of the Weidemann-Franz law is even more pronounced in a ring geometry, for which Lorenz number exhibits h/e flux-periodic Aharonov-Bohm oscillations.
published version, 6 pages, 4 figures

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Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/100545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0505695
 http://arxiv.org/abs/cond-mat/0505695
 Phys. Rev. B 72, 205107 (2005)
 doi:10.1103/PhysRevB.72.205107

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arXiv