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Studies of electronic interferometers, based on edge channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges.These studies…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

Interferometry is a vital tool for studying fundamental features in the quantum Hall effect (QHE). For instance, Aharonov-Bohm (AB) interference in a quantum Hall interferometer can probe the wave-particle duality of electrons and…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 James Nakamura , Saeed Fallahi , Harshad Sahasrabudhe , Rajib Rahman , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We study the crossover behavior of the Hall resistance between the integer quantum Hall regime and a regime dominated by the Aharonov-Bohm oscillations, in a system of 4-probe quantum dot with an artificial impurity confined inside. In a…

Condensed Matter · Physics 2016-08-31 Ming Lei , Hong Guo

We have investigated spin-related effects on the electronic transport in a single antidot system in the vicinity of the $\nu = 2$ quantum Hall state where two edge states with different spins of the lowest Landau level are formed around the…

Mesoscale and Nanoscale Physics · Physics 2009-11-25 Masanori Kato , Akira Endo , Shingo Katsumoto , Yasuhiro Iye

Quantum Hall systems host quasiparticles demonstrating correlated electron physics and non-trivial quantum statistics. Excitonic phases, archetypical for interaction effect, have attracted significant interest in recent years in…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Rui Pu , Naomi Mizuno , Fernando Camino , Runchen Li , Kenji Watanabe , Takashi Taniguchi , Dmitri Averin , Xu Du

Quantum Antidot (AD) structures have remarkable properties in the integer quantum Hall regime, exhibiting Coulomb-blockade charging and the Kondo effect despite their open geometry. In some regimes a simple single-particle (SP) model…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. C. Bassett , C. P. Michael , C. J. B. Ford , M. Kataoka , C. H. W. Barnes , M. Y. Simmons , D. A. Ritchie

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

The response of a passive mode-locking mechanism, where gain and spectral filtering are saturated with the energy and loss saturated with the power, is examined under the presence of higher order effects. These include third order…

Optics · Physics 2015-06-22 Theodoros P. Horikis , Mark J. Ablowitz

For the solid state double-dot interferometer, the phase shifted interference pattern induced by the interplay of inter-dot Coulomb correlation and multiple reflections is analyzed by harmonic decomposition. Unexpected result is uncovered,…

Quantum Physics · Physics 2015-05-13 Feng Li , HuJun Jiao , Hui Wang , JunYan Luo , Xin-Qi Li

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

An apparent h/fe Aharonov-Bohm flux period, where f is an integer, has been reported in coherent quantum Hall devices. Such sub-period is not expected for non-interacting electrons and thus is thought to result from interelectron Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-09-19 Ping V. Lin , F. E. Camino , V. J. Goldman

The shape of an electronic droplet in the quantum Hall effect is sensitive to gradients of the magnetic field, even if they are placed outside the droplet. Magnetic impurities cause a fingering instability of the edge of the droplet,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Wiegmann

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

Aharonov-Bohm oscillations are studied in the magnetoconductance of a micron-sized open quantum ring coupled capacitively to a Coulomb-blockaded quantum dot. As the plunger gate of the dot is modulated and tuned through a conductance…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 L. Meier , A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

We study the influences of antidot-induced bound states on transport properties of two- dimensional quantum spin Hall insulators. The bound statesare found able to induce quantum percolation in the originally insulating bulk. At some…

Mesoscale and Nanoscale Physics · Physics 2012-02-27 Rui-Lin Chu , Jie Lu , Shun-Qing Shen

Edge states of the quantum Hall fluid provide an almost unparalled opportunity to study mesoscopic effects in a highly correlated electron system. In this paper we develop a bosonization formalism for the finite-size edge state, as…

Condensed Matter · Physics 2009-10-30 Michael R. Geller , Daniel Los

Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Michael R. Geller , Daniel Loss

We report a comprehensive discussion of quantum interference effects due to the finite structure of excitons in quantum rings and their first experimental corroboration observed in the optical recombinations. Anomalous features that appear…