Symmetry Properties of Mixed and Heat Photo-Assisted Noise in the Quantum Hall Regime

Flavio Ronetti,Dario Ferraro,Maura Sassetti,Matteo Acciai,Thibaut Jonckheere Thierry Martin,Jérôme Rech

doi:10.3390/e21080730

Abstract

We investigate the photo-assisted charge-heat mixed noise and the heat noise generated by periodic drives in Quantum Hall states belonging to the Laughlin sequence. Fluctuations of the charge and heat currents are due to weak backscattering induced in a quantum point contact geometry and are evaluated at the lowest order in the tunneling amplitude. Focusing on the cases of a cosine and Lorentzian periodic drive, we show that the different symmetries of the photo-assisted tunneling amplitudes strongly affect the overall profile of these quantities as a function of the AC and DC voltage contributions, which can be tuned independently in experiments.

Highlights

IntroductionThe possibility to generate, manipulate and detect single- to few-electron excitations coherently propagating in mesoscopic quantum conductors represents one of the main tasks in condensed matter
The possibility to generate, manipulate and detect single- to few-electron excitations coherently propagating in mesoscopic quantum conductors represents one of the main tasks in condensed matter.Theoretical and experimental studies in this direction culminated with the development of the new field of electron quantum optics (EQO) [1,2,3]
The first relies on a driven quantum dot [4,5], which plays the role of a mesoscopic capacitor [6,7,8,9], tunnel coupled to a Quantum Hall edge channel

Summary

Introduction

The possibility to generate, manipulate and detect single- to few-electron excitations coherently propagating in mesoscopic quantum conductors represents one of the main tasks in condensed matter. This observation is of particular importance in view of the progressive miniaturization of electronic devices, which makes the problem of heat transfer at the nanoscale extremely timely [24], as demonstrated by recent progress in the field of quantum thermodynamics [25] In this framework, new intriguing challenges are posed by the need of properly transposing concepts such as energy harvesting [26,27,28,29,30,31,32,33], transport [34,35,36,37,38,39,40] and exchange [41,42,43] at the mesoscopic scale. The time evolution of quantum operators can be constructed in terms of a perturbative series in the tunneling amplitude Λ

Charge Current

Heat Current

Mixed Noise and Heat Noise

Mixed Noise

Heat Noise

Conclusions