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Fractional charges in the fractional quantum Hall effect were first observed via DC shot noise measurements of anyons tunneling at a quantum point contact (QPC). However, in scenarios with simultaneous tunneling of different types of…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Kishore Iyer , Flavio Ronetti , Benoît Grémaud , Thierry Martin , Thibaut Jonckheere , Jérôme Rech

We investigate the behavior of the shot-noise power through quantum mechanical cavities in the semiclassical limit of small electronic wavelength. In the absence of impurity scattering, the Fano factor $F$, giving the noise to current…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Philippe Jacquod , Robert S. Whitney

We study the zero frequency noise in an interacting quantum wire connected to leads, in the presence of an impurity. In the absence of quasiparticle decoherence the zero-frequency noise is that of a non-interacting wire. However, if the…

Strongly Correlated Electrons · Physics 2013-05-29 Cristina Bena

The charge of quasiparticles in a fractional quantum Hall (FQH) liquid, tunneling through a partly reflecting constriction with transmission t, was determined via shot noise measurements. In the nu=1/3 FQH state, a charge smoothly evolving…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. G. Griffiths , E. Comforti , M. Heiblum , Ady Stern , V. Umansky

Electrons living in a two-dimensional world under a strong magnetic field - the so-called fractional quantum Hall effect (FQHE) - often manifest themselves as fractionally charged quasiparticles (anyons). Moreover, being under special…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Bhattacharyya , Mitali Banerjee , Moty Heiblum , Diana Mahalu , Vladimir Umansky

Unconventional quasiparticles emerging in the fractional quantum Hall regime present the challenge of observing their exotic properties unambiguously. Although the fractional charge of quasiparticles has been demonstrated since nearly three…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 A. Veillon , C. Piquard , P. Glidic , Y. Sato , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , A. Anthore , F. Pierre

We study nonequilibrium transport through a charge Kondo device realizing the two-channel Kondo critical point in a recent experiment by Iftikhar et al. By computing the current and shot noise at low voltages near the critical point, we…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 L. A. Landau , E. Cornfeld , E. Sela

The effect of an ac perturbation on the shot noise of a fractional quantum Hall fluid is studied at finite temperature. For a normal metal, it is known that the zero-frequency noise derivative exhibits steps as a function of bias voltage.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Adeline Crepieux , Pierre Devillard , Thierry Martin

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…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Counter propagating (upstream) chiral neutral edge modes, which were predicted to be present in hole-conjugate states, were observed recently in a variety of fractional quantum Hall states (v=2/3,v=3/5,v=8/3 & v=5/2), by measuring charge…

Mesoscale and Nanoscale Physics · Physics 2011-12-21 Y. Gross , M. Dolev , M. Heiblum , V. Umansky , D. Mahalu

A recent theory is reviewed for the shot noise of coherent radiation propagating through a random medium. The Fano factor P/I (the ratio of the noise power and the mean transmitted current) is related to the scattering matrix of the medium.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker , M. Patra

The $\nu = 2/3$ filling is the simplest paradigmatic example of a fractional quantum Hall state, which contains counter-propagating edge modes. These modes can be either in the unequilibrated regime or equilibrated to different extents, on…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Sourav Manna , Ankur Das , Yuval Gefen , Moshe Goldstein

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

Electrical current fluctuations in a single-channel quantum point contact can produce photons (at frequency omega close to the applied voltage V x e/hbar) which inherit the sub-Poissonian statistics of the electrons. We extend the existing…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 I. C. Fulga , F. Hassler , C. W. J. Beenakker

Fractional quantum Hall quasiparticles are famous for having fractional electric charge. Recent experiments report that the quasiparticles' effective electric charge determined through tunneling current noise measurements can depend on the…

Strongly Correlated Electrons · Physics 2016-02-02 Kyrylo Snizhko

The progress in nanofabrication, measurement technology, and mesoscopic transport theory has been expanding the field of shot noise. Although a wave-packet approach to DC shot noise of independent electrons at finite temperature was offered…

Mesoscale and Nanoscale Physics · Physics 2012-11-27 Hiroyuki Inoue

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Materials Science · Physics 2007-05-23 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

Shot-noise of electrons that are transmitted with probability $T$ through a quantum point contact (biased at a voltage $V_0$) leads to a fluctuating current that in turn emits radiation in the microwave regime. By calculating the Fano…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Fabian Hassler , Daniel Otten

We have studied here the charge and statistics of quasiparticle excitations in FQH states on the basis of the Berry phase approach incorporating the fact that even number of flux quanta can be gauged away when the Berry phase is removed to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Basu , P. Bandyopadhyay , S. Dhar

Shot noise measurements were recently exploited to measure the charge of the quasiparticles in the Fractional Quantum Hall (FQH) regime. For fractional filling factors nu=1/3 and 2/5 of the first Landau level, fractional charges q=e/3 and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Comforti , Y. C. Chung , M. Heiblum , V. Umansky , D. Mahalu