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The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current…

In quantum Hall edge states and in other one-dimensional interacting systems, charge fractionalization can occur due to the fact that an injected charge pulse decomposes into eigenmodes propagating at different velocities. If the original…

Strongly Correlated Electrons · Physics 2017-02-28 Alexander Schneider , Mirco Milletarì , Bernd Rosenow

Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge $Q$ and scaling dimension $\Delta$. For the simplest states (such as the Laughlin series) the scaling dimension determines the…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Noam Schiller , Yuval Oreg , Kyrylo Snizhko

Non-abelian quantum Hall states are characterized by the simultaneous appearance of charge and neutral gapless edge modes, with the structure of the latter being intricately related to the existence of bulk quasi-particle excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eytan Grosfeld , Sourin Das

Exploring new topological phases and phenomena has become a vital topic in condensed matter physics and material sciences. It is generally believed that a pair of band nodes with opposite topological charges will annihilate after collision.…

Other Condensed Matter · Physics 2023-03-22 Huahui Qiu , Qicheng Zhang , Tingzhi Liu , Xiying Fan , Fan Zhang , Chunyin Qiu

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…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 J. Rech , D. Ferraro , T. Jonckheere , L. Vannucci , M. Sassetti , T. Martin

A point contact in a Luttinger liquid couples the left- and right-moving channels, producing shot noise. We calculate exactly the DC shot noise at zero temperature in the out-of-equilibrium steady state where current is flowing.…

Condensed Matter · Physics 2009-10-28 P. Fendley , A. W. W. Ludwig , H. Saleur

The notion of fractional charges was up until now reserved for quasiparticle excitations emerging in strongly correlated quantum systems, such as Laughlin states in the fractional quantum Hall effect, Luttinger quasiparticles, or…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Roman-Pascal Riwar

We develop the general quantum measurement theory of non-Abelian anyons through interference experiments. The paper starts with a terse introduction to the theory of anyon models, focusing on the basic formalism necessary to apply standard…

Quantum Physics · Physics 2009-09-21 Parsa Bonderson , Kirill Shtengel , J. K. Slingerland

We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasiparticle excitations in the $\mathbb{Z}_3$ parafermion…

Quantum Physics · Physics 2024-04-04 Lachezar S. Georgiev , Ludmil Hadjiivanov , Grigori Matein

We study the quantum anomalous Hall effect in a strip of stripes model coupled to a magnetic texture with zero total magnetization and in the presence of strong electron-electron interactions. A helical magnetization along the stripes and a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jelena Klinovaja , Yaroslav Tserkovnyak , Daniel Loss

Parafermion zero modes are exotic emergent excitations that can be considered as $\mathbb{Z}_n$ generalizations of Majorana fermions. Present in fractional quantum Hall-superconductor hybrid systems, among others, they can serve as…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Noam Schiller , Eyal Cornfeld , Erez Berg , Yuval Oreg

We report an experimental study on the shot noise as well as the dc transport properties of a quantum point contact (QPC) whose conductance anomaly can be tuned electrostatically by the gate electrodes. By controlling the single QPC so that…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Shuji Nakamura , Masayuki Hashisaka , Yoshiaki Yamauchi , Shinya Kasai , Teruo Ono , Kensuke Kobayashi

We present time-resolved measurements of electron transport through a quantum dot. The measurements were performed using a nearby quantum point contact as a charge detector. The rates for tunneling through the two barriers connecting the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Gustavsson , R. Leturcq , B. Simovic , R. Schleser , P. Studerus , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

Frequency dependent current noise in ferromagnetic double junctions with Coulomb blockade is studied theoretically in the limit of sequential tunneling. Two different relaxation processes are found in the correlations between spin polarized…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. R. Bulka , J. Martinek , G. Michalek , J. Barnas

Recent schemes for experimentally probing non-abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Rosenow , B. I. Halperin , S. H. Simon , Ady Stern

In this work we propose a measure for the quantum discord of indistinguishable particles, based on the definition of entanglement of particles given in [H. M. Wiseman et al., Phis. Rev. Lett 91, 097902 (2003)]. This discord of particles is…

Quantum Physics · Physics 2016-04-28 Andrea Beggi , Fabrizio Buscemi , Paolo Bordone

Andreev reflection, which corresponds to the tunneling of two electrons from a metallic lead to a superconductor lead as a Cooper pair (or vice versa), can be exploited to measure high frequency noise. A detector is proposed, which consists…

Superconductivity · Physics 2009-11-11 T. K. T. Nguyen , T. Jonckheere , A. Crépieux , A. V. Nguyen , T. Martin

Nonequilibrium physics of random events, or fluctuations, is a unique fingerprint of a given system. Here we demonstrate that in noninteracting systems, whose dynamics is driven by Majorana states, the effective charge $e^*$, characterizing…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Sergey Smirnov

We derive single-particle and two-particle correlators of anyons in the presence of a magnetic field in the lowest Landau level. We show that the two-particle correlator exhibits signatures of fractional statistics which can distinguish…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 Smitha Vishveshwara , Michael Stone , Diptiman Sen
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