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Related papers: Negative Excess Shot Noise by Anyon Braiding

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Recent pioneering works have set the stage for exploring anyon braiding statistics from negative current cross-correlations along two intersecting quasiparticle beams. In such a dual-source - analyzer quantum point contact setup, also…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 P. Glidic , O. Maillet , A. Aassime , C. Piquard , A. Cavanna , U. Gennser , Y. Jin , A. Anthore , F. Pierre

Electrical conductance measurements have limited scope in identifying Andreev edge states (AESs), which form the basis for realizing various topological excitations in quantum Hall (QH) - superconductor (SC) junctions. To unambiguously…

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. E. Feldman , Yuval Gefen , Alexei Kitaev , K. T. Law , Ady Stern

The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained. The third correlator of current fluctuations (the skewness of the charge counting distribution) has a…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , M. Reznikov

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

Interactions between nanoscale semiconductor structures form the basis for charge detectors in the solid state. Recent experimental advances have demonstrated the on-chip detection of single electron transport through a quantum dot (QD).…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan , Simon Gustavsson , Renaud Leturcq , Thomas Ihn , Klaus Ensslin

We study the behavior of shot noise in resonant tunneling junctions far from equilibrium. Quantum-coherent elastic charge transport can be characterized by a transmission function, that is the probability for an incoming electron at a given…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 Anqi Mu , Dvira Segal

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We present a calculation of noise in the tunneling current through junctions between two two-dimensional electron gases (2DEG) in inequivalent Laughlin fractional quantum Hall (FQH) states, as a function of voltage and temperature. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Nancy P. Sandler , Claudio de C. Chamon , Eduardo Fradkin

A central long standing prediction of the theory of fractional quantum Hall (FQH) states that it is a topological fluid whose elementary excitations are vortices with fractional charge and fractional statistics. Yet, the unambiguous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eun-Ah Kim , Michael J. Lawler , Smitha Vishveshwara , Eduardo Fradkin

Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor $\nu=1/m$ (where m…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 H. Bartolomei , M. Kumar , R. Bisognin , A. Marguerite , J. -M. Berroir , E. Bocquillon , B. Plaçais , A. Cavanna , Q. Dong , U. Gennser , Y. Jin , G. Fève

We study the current correlations of fractional quantum Hall edges at the output of a quantum point contact (QPC) subjected to a temperature gradient. This out-of-equilibrium situation gives rise to a form of temperature-activated shot…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 J. Rech , T. Jonckheere , B. Grémaud , T. Martin

We explain effective charge anomalies recently observed for fractional quantum Hall edge states at $\nu=5/2$ [M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Phys.Rev. B. \textbf{81}, 161303(R) (2010)]. The…

Strongly Correlated Electrons · Physics 2011-10-03 M. Carrega , D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

The exact structure of edge modes in `hole conjugate' fractional quantum Hall states remains an unsolved issue despite significant experimental and theoretical efforts devoted to their understanding. Recently, there has been a surge of…

Mesoscale and Nanoscale Physics · Physics 2009-11-24 Aveek Bid , Nissim Ofek , Moty Heiblum , Vladimir Umansky , Diana Mahalu

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slips in quantum interference experiments demonstrates a…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Sanghun An , P. Jiang , H. Choi , W. Kang , S. H. Simon , L. N. Pfeiffer , K. W. West , K. W. Baldwin

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

We investigate the influence of capacitive coupling on the detection of anyon braiding in a single-edge interferometer realized in the fractional quantum Hall regime. In this setup, a quantum point contact bends a single edge into a loop,…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Noé Demazure , Flavio Ronetti , Benoît Grémaud , Laurent Raymond , Masayuki Hashisaka , Takeo Kato , Thierry Martin

Electronic Fabry-P{\'e}rot interferometry is a powerful method to probe quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. We extend this technique to the hierarchy $\nu = 2/5$ fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We consider the problem of shot noise in resonant tunneling through double quantum dots in the case of interacting particles. Using a many-body quantum mechanical description we evaluate the energy dependent transmission probability, the…

Condensed Matter · Physics 2009-11-07 Brahim Elattari , S. A. Gurvitz