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A theoretical study of the single electron coherence properties of Lorentzian and rectangular pulses is presented. By combining bosonization and the Floquet scattering approach, the effect of interactions on a periodic source of voltage…

介观与纳米尺度物理 · 物理学 2013-08-08 C. Grenier , J. Dubois , T. Jullien , P. Roulleau , D. C. Glattli , P. Degiovanni

We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with…

介观与纳米尺度物理 · 物理学 2017-02-24 J. Rech , D. Ferraro , T. Jonckheere , L. Vannucci , M. Sassetti , T. Martin

We study the quantum fluctuations of the two quadratures of the emitted electromagnetic radiation generated by a quantum Hall device in a quantum point contact geometry. In particular, we focus our attention on the role played by the…

介观与纳米尺度物理 · 物理学 2021-06-11 G. Rebora , D. Ferraro , M. Sassetti

We propose ways to create and detect fractionally charged excitations in \emph{integer} quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels.…

介观与纳米尺度物理 · 物理学 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

介观与纳米尺度物理 · 物理学 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles…

介观与纳米尺度物理 · 物理学 2017-06-16 Luca Vannucci , Flavio Ronetti , Jérôme Rech , Dario Ferraro , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

Precise shaping of coherent electron sources allows the controlled creation of wavepackets into a one dimensional (1D) quantum conductor. Periodic trains of Lorentzian pulses have been shown to induce minimal excitations without creating…

介观与纳米尺度物理 · 物理学 2019-10-17 Matteo Acciai , Alessio Calzona , Matteo Carrega , Thierry Martin , Maura Sassetti

We study the problem of injecting single electrons into interacting one-dimensional quantum systems, a fundamental building block for electron quantum optics. It is well known that such injection leads to charge and energy…

介观与纳米尺度物理 · 物理学 2017-08-29 Matteo Acciai , Alessio Calzona , Giacomo Dolcetto , Thomas L. Schmidt , Maura Sassetti

We present a theoretical study of the excitations on the edge of a two-dimensional electron system in a perpendicular magnetic field in terms of a contour dynamics formalism. In particular, we focus on edge excitations in the quantum Hall…

介观与纳米尺度物理 · 物理学 2009-10-31 C. Wexler , Alan T. Dorsey

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

介观与纳米尺度物理 · 物理学 2015-05-30 Izhar Neder

In this work we address the recent experiment of Altimiras and collaborators, where an electron distribution function at the quantum Hall (QH) edge at filling factor 2 has been measured with high precision. It has been reported that the…

介观与纳米尺度物理 · 物理学 2015-06-03 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

介观与纳米尺度物理 · 物理学 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

We discuss the propagation and fractionalization of localized charges on the edges of quantum Hall bars of variable widths, where interactions between the edges give rise to Luttinger liquid behavior with a non-trivial interaction parameter…

介观与纳米尺度物理 · 物理学 2013-05-29 Mats Horsdal , Marianne Rypestøl , Hans Hansson , Jon Magne Leinaas

We theoretically investigate the evolution of the peak height of an energy resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor $\nu=2$. This is ultimately related to the…

介观与纳米尺度物理 · 物理学 2021-02-24 G. Rebora , D. Ferraro , R. H. Rodriguez , F. D. Parmentier , P. Roche , M. Sassetti

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

强关联电子 · 物理学 2011-09-23 D. L. Kovrizhin , J. T. Chalker

Quantum Hall edge channels can be combined with metallic regions to fractionalize electrons and form correlated impurity models. We study a minimal device, that has been experimentally achieved quite recently, with two floating islands…

介观与纳米尺度物理 · 物理学 2022-07-13 Deepak B. Karki , Edouard Boulat , Christophe Mora

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

凝聚态物理 · 物理学 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

介观与纳米尺度物理 · 物理学 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre

We develop a simple kinetic equation description of edge state dynamics in the fractional quantum Hall effect (FQHE), which allows us to examine in detail equilibration processes between multiple edge modes. As in the integer quantum Hall…

凝聚态物理 · 物理学 2009-10-28 C. L. Kane , Matthew P. A. Fisher

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We…

介观与纳米尺度物理 · 物理学 2018-09-05 Flavio Ronetti , Luca Vannucci , Dario Ferraro , Thibaut Jonckheere , Jérôme Rech , Thierry Martin , Maura Sassetti
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