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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.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

We present a detailed analysis of finite frequency noise for the $\nu=5/2$ fractional quantum Hall state in a quantum point contact geometry. The results are obtained within the Pfaffian and anti-Pfaffian models. We show that the behaviour…

Strongly Correlated Electrons · Physics 2012-04-30 M. Carrega , D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

We investigate the effect of interactions on shot noise in $\nu=2$ quantum Hall edges, where a repulsive coupling between co-propagating edge modes is expected to give rise to charge fractionalization. Using the method of non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Mirco Milletarì , Bernd Rosenow

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

We study theoretically nonequilibrium noise in the fractional quantum Hall regime for an Aharonov Bohm ring which has a third contact in the middle of the ring. We show that as a consequence of their fractional statistics the tunneling of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

The recent measurement of a half-integer thermal conductance for the $\nu=5/2$ fractional quantum Hall state has confirmed its non-Abelian nature, making the question of the underlying topological order highly intriguing. We analyze the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Jinhong Park , Christian Spånslätt , Yuval Gefen , Alexander D. Mirlin

The role of anyonic statistics stands as a cornerstone in the landscape of topological quantum techniques. While recent years have brought forth encouraging and persuasive strides in detecting anyons, a significant facet remains unexplored,…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Gu Zhang , Pierre Glidic , Frederic Pierre , Igor Gornyi , Yuval Gefen

Current noise in nanoscale systems provides additional information beyond the electronic conductance. We report measurements at room temperature of the nonequilibrium "excess" noise in ensembles of atomic-scale gold junctions repeatedly…

Mesoscale and Nanoscale Physics · Physics 2014-06-11 Ruoyu Chen , Patrick Wheeler , D. Natelson

Electrical and thermal transport on a fractional quantum Hall edge are determined by topological quantities inherited from the corresponding bulk state. While electrical transport is the standard method for studying edges, thermal transport…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

We demonstrate that the effective internal entropy of quasiparticles within the non-Abelian fractional quantum Hall effect manifests in the heat current through a tunneling barrier. We derive the electric current and heat current resulting…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Noam Schiller , Hiromi Ebisu , Gil Refael , Yuval Oreg

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting…

Strongly Correlated Electrons · Physics 2013-09-04 Armin Rahmani , Rodrigo A. Muniz , Ivar Martin

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 explain recent experimental observations on effective charge of edge states tunneling through a quantum point contact in the weak backscattering regime. We focus on the behavior of the excess noise and on the effective tunneling charge…

Mesoscale and Nanoscale Physics · Physics 2010-08-31 Dario Ferraro , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles changes the wave function more dramatically than just the usual…

Mesoscale and Nanoscale Physics · Physics 2012-06-26 X. Lin , C. Dillard , M. A. Kastner , L. N. Pfeiffer , K. W. West

We report measurements of the low frequency current fluctuations of a tunnel junction placed at very low temperature biased by a time-dependent voltage $V(t)=V(1+\cos 2\pi\nu t)$. We observe that the excess noise generated by the ac…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Gabriel Gasse , Lafe Spietz , Christian Lupien , Bertrand Reulet

We show experimentally that even when no bias voltage is applied to a quantum conductor, the electronic quantum partition noise can be investigated using GHz radiofrequency irradiation of a reservoir. Using a Quantum Point Contact…

Condensed Matter · Physics 2009-11-07 L. -H. Reydellet , P. Roche , D. C. Glattli , B. Etienne , Y. Jin

In fractional quantum Hall fluids, the quasiparticle excitations are anyons with fractional charges and statistics. Effective interactions among the anyons can be induced by either model or realistic electron-electron (e-e) interactions.…

Strongly Correlated Electrons · Physics 2025-12-12 Qianhui Xu , Guangyue Ji , Yuzhu Wang , Ha Quang Trung , Bo Yang

We consider a tunnel junction between two arbitrary non-linear systems in any dimension, which can be different. We show that the tunneling charge can be detected using three alternative methods based on current measurements. Besides being…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ines Safi , Eugene V. Sukhorukov