Correlations between charge and energy current in ac-driven coherent conductors

Francesca Battista,Janine Splettstoesser,Federica Haupt

doi:10.1088/1742-6596/568/5/052008

Francesca Battista, Janine Splettstoesser + Show 1 more

Open Access

https://doi.org/10.1088/1742-6596/568/5/052008

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Abstract

We study transport in coherent conductors driven by a time-periodic bias voltage. We present results of the charge and energy noise and complement them by a study of the mixed noise, namely the zero-frequency correlator between charge and energy current. The mixed noise presents interference contributions and transport contributions, showing features different from those of charge and energy noise. The mixed noise can be accessed by measuring the correlator between the fluctuations of the power provided to the system and the charge current.

Highlights

In the last years, big effort has been put in the theoretical study and in the experimental investigation of charge transport in mesoscopic structures
In the following we summarize the main features of the interference and the transport part of the charge and energy noise studied in Ref. [8], and focus on the mixed noise
We discussed the correlator of charge current fluctuations and energy current fluctuations and the correlator between charge and energy current fluctuations

Summary

Introduction

Big effort has been put in the theoretical study and in the experimental investigation of charge transport in mesoscopic structures. Single particle sources, allowing for the control in time and space of the flow of a small number of electrons or holes, have been realized with time-periodically driven mesoscopic systems [1]. These setups are usually based on the emission of particles from a confined region. Special Lorentzian-shaped voltage pulses applied to a conductor give rise only to single-particle excitations from a Fermi sea, free from electron-hole pairs excitations. Lorentzian pulses carrying an integer number of particles can approximately be realized by superposing several harmonic driving potentials In this case a reduction of the charge current noise was measured in Refs. Energy current fluctuations (energy noise) we calculate and discuss the behavior of the correlator between the charge and the energy current fluctuations (mixed noise) [9]

Formalism and model

Results

Charge noise

Mixed noise

Conclusions