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We investigate the properties of the finite frequency noise in a quantum point contact geometry for the fractional quantum Hall state at filling factor $\nu=2/5$. The results are obtained in the framework of the Wen's hierarchical model. We…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

We performed noise measurements in a two-dimensional electron gas to investigate the nonequilibrium quantum Hall effect (QHE) state. While excess noise is perfectly suppressed around the zero-biased QHE state reflecting the dissipationless…

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

Strongly correlated low-dimensional systems can host exotic elementary excitations carrying a fractional charge $q$ and potentially obeying anyonic statistics. In the fractional quantum Hall effect, their fractional charge has been…

Mesoscale and Nanoscale Physics · Physics 2019-07-11 R. Bisognin , H. Bartolomei , M. Kumar , I. Safi , J. -M. Berroir , E. Bocquillon , B. Plaçais , A. Cavanna , U. Gennser , Y. Jin , G. Fève

We have measured the shot noise in a quantum point contact (QPC) fabricated by using InGaAs/InGaAsP heterostructure, whose conductance can be electrically tuned by the gate voltages. The reduced shot noise is observed when the QPC…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Yoshitaka Nishihara , Shuji Nakamura , Kensuke Kobayashi , Teruo Ono , Makoto Kohda , Junsaku Nitta

We report on direct measurements of the electronic shot noise of a quantum point contact at frequencies nu in the range 4-8 GHz. The very small energy scale used ensures energy independent transmissions of the few transmitted electronic…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 Eva Zakka-Bajjani , Julien Segala , Fabien Portier , Patrice Roche , Christian Glattli , Antonella Cavanna , Yong Jin

We investigate the finite frequency noise of a quantum point contact at filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations…

Strongly Correlated Electrons · Physics 2016-06-24 A. Braggio , M. Carrega , D. Ferraro , M. Sassetti

In the quantum Hall effect regime, taking place in a two-dimensional-electron gas under strong magnetic field, currents flow along the edges of the sample. For some particle-hole conjugate states of the fractional regime, e.g., with filling…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Aveek Bid , Nissim Ofek , Hiroyuki Inoue , Moty Heiblum , Charles Kane , Vladimir Umansky , Diana Mahalu

Transport properties of graphene - superconductor junction has been studied extensively to understand the interplay of the relativistic Dirac quasiparticles and superconductivity. Though shot noise measurements in graphene has been…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Manas Ranjan Sahu , Arup Kumar Paul , Abhiram Soori , K. Watanabe , T. Taniguchi , Subroto Mukerjee , Anindya Das

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors $\nu $ away from $1/2\beta$ $\beta$ an integer. The theory is in terms of quasiparticles which carry a charge $e^{\ast}$ equal to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Pasquier

Fano profiles are observed across various fields of wave physics. They emerge from interference phenomena and are quantified by the asymmetry parameter q. In optics, q is usually considered as a phenomenological coefficient obtained by…

We present measurements of current noise in quantum point contacts as a function of source-drain bias, gate voltage, and in-plane magnetic field. At zero bias, Johnson noise provides a measure of the electron temperature. At finite bias,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. DiCarlo , Yiming Zhang , D. T. McClure , D. J. Reilly , C. M. Marcus , L. N. Pfeiffer , K. W. West , M. P. Hanson , A. C. Gossard

Shot noise is a powerful tool to probe correlations and microscopic transport details that conductance measurements alone cannot reveal. Even in atomic-scale Au devices that are well described by Landauer-B{\"u}ttiker physics, complications…

Mesoscale and Nanoscale Physics · Physics 2017-04-07 Ruoyu Chen , Douglas Natelson

A standing problem in low dimensional electron systems is the nature of the 5/2 fractional quantum Hall state: its elementary excitations are a focus for both elucidating the state's properties and as candidates in methods to perform…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. L. Willett , L. N. Pfeiffer , K. W. West

We calculate the full counting statistics of charge transfer in a chiral Majorana interferometer - a setup where a Dirac mode (an electron-hole mode) is split into two Majorana modes that encircle a number of h/2e vortices in a topological…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 C. W. J. Beenakker

The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Xi Lin , Rui -Rui Du , Xincheng Xie

In this paper, we present theoretical investigation of the zero-frequency shot noise spectra in electron tunneling through an interacting quantum dot connected to two ferromagnetic leads with possibility of spin-flip scattering between the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ivana Djuric , Bing Dong , H. L. Cui

Low temperature transport through a quantum dot in the Kondo regime proceeds by a universal combination of elastic and inelastic processes, as dictated by the low-energy Fermi-liquid fixed point. We show that as a result of inelastic…

Strongly Correlated Electrons · Physics 2015-06-25 Eran Sela , Yuval Oreg , Felix von Oppen , Jens Koch

Even-denominator fractional quantum Hall states (FQHSs) fall outside the standard Laughlin's and Jain's odd-denominator hierarchy. In this work, we study the FQHS $\nu=1/2$ in the lowest Landau level. The state is confined within a 70…

We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a Hall bar where two quantum point contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eytan Grosfeld , Steven H. Simon , Ady Stern