Detection of finite frequency current moments with a dissipative resonant circuit

Alex Zazunov (1, 2, 3) , Marjorie Creux (1, 3) , Elisabetta Paladino (4) , Adeline Crépieux (1, 3) , Thierry Martin (1, 3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 LPM2C - Laboratoire de physique et modélisation des milieux condensés
3 CPT - Centre de Physique Théorique - UMR 7332
4 MATIS - MATIS CNR-INFM Dipartimento di Metodologie Fisiche e Chimiche (DMFCI)

We consider the measurement of higher current moments with a dissipative resonant circuit, which is coupled inductively to a mesoscopic device in the coherent regime. Information about the higher current moments is coded in the histograms of the charge on the capacitor plates of the resonant circuit. Dissipation is included via the Caldeira-Leggett model, and it is essential to include it in order for the charge fluctuations (or the measured noise) to remain finite. We identify which combination of current correlators enter the measurement of the third moment. The latter remains stable for zero damping. Results are illustrated briefly for a quantum point contact.

Mots clés: fluctuations; Higher current moments; quantum transport; Noise

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

Alex Zazunov, Marjorie Creux, Elisabetta Paladino, Adeline Crépieux, Thierry Martin. Detection of finite frequency current moments with a dissipative resonant circuit. Physical Review Letters, 2007, 99 (6), pp.066601. ⟨hal-00130211⟩