Validity of Wiedemann Franz law in small molecular wires

Details Validity of Wiedemann Franz law in small molecular wires Validity of Wiedemann Franz law in small molecular wires

2012-02-23

arxiv.org/abs/1202.5109v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 10 figures

Scientific paper

We report our investigations on the finite size effects of Lorenz number in a molecular wire. Using Landauer-B\"uttiker formalism, we find that for sufficiently long wires there are two validity regimes of Wiedemann-Franz (WF) law, the cotunneling and the sequential tunneling regimes, while in small systems only the first regime survives. We compare our results with standard Kubo formalism and explain its failure to detect the WF law in small systems. Furthermore, our studies on exponentially localized disordered wires show that Lorenz number value L_0 predicted by WF law is obtained only in the cotunneling regime. Also, Lorenz number L exhibits typical distribution at different temperatures corresponding to different tunneling process. In particular, first order tunneling results in a low value of L whereas second order tunneling recovers the universal value L_0.

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