Skip to Main content Skip to Navigation

Finite frequency dynamics in correlated quantum conductors

Jonas Müller 1 
1 GNE - Groupe Nano-Electronique
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : In this work, we present the new experimental methods that we have developed in order to investigate the fundamental physics of electronic transport across mesoscopic conductors based on the measurement of electrical fluctuations. In the first part of the thesis we present a novel design of a back-action free quantum detector to separately measure the power spectral density of current fluctuations for positive (absorption noise) and negative (emission noise) frequencies. We extract the absorption and emission noise from a measurement of the power exchanged between a quantum conductor and a finite frequency linear resonator, tested for a SIS junction coupled to a cavity filter. Our results stress the physical meaning of the Kubo formula which, coupled to a quantum description of the measurement setup, provides a quantum version of Joule’s theorem. In the second part of the thesis, we present the design and construction of an experimental platform for time dependant RF-measurements in high magnetic fields. The goal is to efficiently measure a quantum conductor that gives rise to a detection back-action on its transport properties, known as Dynamical Coulomb Blockade (DCB). We wish to investigate such effects in the elementary case of a single conduction channel, with arbitrary transmission, interacting with a single electromagnetic mode. The main challenge is the engineering of high impedance RF resonators used as impedance transformer to efficiently couple the high impedance single channel (25.8 kΩ) to the mismatched 50 Ω RF-detection equipment. For our setup we have firstly designed and tested a magnetic field tolerant resonator, a planar metallic coil, that provides a characteristic impedance of 1 kΩ at a resonance frequency of 5.4 GHz. Using two resonators in series, an effective detection impedance of 27 kΩ is achievable that provides sufficient coupling to a single channel. With all the methodologies developed in this thesis, it is now possible to perform an amazing series of various experiments in the near future.
Complete list of metadata
Contributor : ABES STAR :  Contact
Submitted on : Monday, January 25, 2021 - 5:12:21 PM
Last modification on : Saturday, May 21, 2022 - 3:57:12 AM
Long-term archiving on: : Monday, April 26, 2021 - 7:25:34 PM


Version validated by the jury (STAR)


  • HAL Id : tel-03120690, version 1


Jonas Müller. Finite frequency dynamics in correlated quantum conductors. Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASP061⟩. ⟨tel-03120690⟩



Record views


Files downloads