Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-05-30
Phys. Rev. B 72, 205107 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
published version, 6 pages, 4 figures
Scientific paper
10.1103/PhysRevB.72.205107
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.
Stone Douglas A.
Vavilov Maxim G.
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