Photoassisted shot noise spectroscopy at fractional filling factor

Abstract : We study the photoassisted shot noise generated by a periodic voltage in the fractional quantum Hall regime. Fluctuations of the current are due to the presence of a quantum point contact operating in the weak backscattering regime. We show how to reconstruct the photoassisted absorption and emission probabilities by varying independently the dc and ac contributions to the voltage drive. This is made possible by the peculiar power-law behavior of the tunneling rates in the chiral Luttinger liquid theory, which allow to approximate the typical infinite sums of the photoassisted transport formalism in a simple and particularly convenient way. 1. Introduction With the ultimate goal of controlling coherent few-particle excitations in quantum conductors, the condensed matter community has been paying an ever increasing attention to ac transport in mesoscopic devices over the last twenty years. This has lead to the development of full counting statistics [1, 2], photoassisted transport formalism [3, 4], Floquet scattering matrix approach [5] and challenging high-frequency experimental techniques [6, 7, 8, 9], culminated in the new paradigm of electron quantum optics (EQO) [10, 11]. However, less attention has been devoted to the role of electron-electron interactions, which often play a crucial role in low-dimensional systems. For instance, the fractional quantum Hall (FQH) effect emerges as a consequence of strong repulsive interactions that give rise to exotic quasi-particles carrying fractional charge and statistics [12]. At the same time, the presence of dissipationless topological edge modes makes the FQH phase a good candidate to study photoassisted quantum transport in interacting systems [13, 14, 15, 16]. In this paper we investigate the photoassisted shot noise (PASN) in the FQH regime. We consider a FQH system where periodic voltage pulses are injected from one of the terminals in presence of a quantum point contact (QPC). In this geometry, excitations incoming from the leads are partitioned at the QPC, in a protocol that is reminiscent of the Hanbury-Brown and Twiss optical experiment [10]. We evaluate the shot-noise at the first relevant order in the tunneling, considering the QPC in a weak backscattering regime. While the expression for the shot noise generally consists of an infinite superposition of dc contributions, each one weighted by the corresponding photoassisted probability, we show that the FQH physics allows to extract each single contribution to the PASN in a surprisingly simple fashion. We provide a recipe to reconstruct the typical absorption and emission probabilities of the photoassisted formalism by independently tuning the ac and dc components of the voltage drive. We also discuss the
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Journal of Physics: Conference Series, IOP Publishing, 2018, 969, 〈10.1088/1742-6596/969/1/012143〉
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Dernière modification le : mercredi 2 janvier 2019 - 16:10:46
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Luca Vannucci, Flavio Ronetti, Dario Ferraro, Jérôme Rech, Thibaut Jonckheere, et al.. Photoassisted shot noise spectroscopy at fractional filling factor. Journal of Physics: Conference Series, IOP Publishing, 2018, 969, 〈10.1088/1742-6596/969/1/012143〉. 〈hal-01876155〉

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