Mixed electrical-heat noise spectrum in a quantum dot

Paul Eyméoud (1, 2) , Adeline Crépieux (3, 2)

1 CINaM - Centre Interdisciplinaire de Nanoscience de Marseille
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - E6 Nanophysique

Using the Keldysh Green function technique, we calculate the finite-frequency correlator between the electrical current and the heat current flowing through a quantum dot connected to reservoirs. At equilibrium, we find that this quantity, called mixed noise, is linked to the thermoelectric ac-conductance by the fluctuation-dissipation theorem. Out-of-equilibrium, we discuss its spectrum and find evidence of the close relationship between the mixed noise and the thermopower. We study the spectral coherence and identify the conditions to have a strong correlation between the electrical and heat currents. The change in the spectral coherence due to the presence of a temperature gradient between the reservoirs is also highlighted.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Paul Eyméoud, Adeline Crépieux. Mixed electrical-heat noise spectrum in a quantum dot. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2016, 94 (20), pp.205416. ⟨10.1103/PhysRevB.94.205416⟩. ⟨hal-01432416⟩