Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-23
J. Appl. Phys. 111, 053704 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Scientific paper
10.1063/1.3689817
We consider the thermoelectric properties of a double-quantum-dot molecule coupled in parallel to metal electrodes with a magnetic flux threading the ring. By means of the Sommerfeld expansion we obtain analytical expressions for the electric and thermal conductances, thermopower and figure of merit for arbitrary values of the magnetic flux. We neglect electronic correlations. The Fano antiresonances in transmission demand that terms usually discarded in the Sommerfeld expansion are taken into account. We also explore the behavior of the Lorenz ratio L=\kappa/\sigma T, where \kappa\ and \sigma\ are the thermal and electrical conductances and T the absolute temperature, and we discuss the reasons why the Wiedemann-Franz law fails in presence of Fano antiresonances.
Ávalos-Ovando O.
de Guevara L. Ladrón M.
Gómez-Silva G.
Orellana Pedro A.
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