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We experimentally investigate interference effects in transport across a single incompressible strip at the edge of the quantum Hall system by using a Fabry-Perot type interferometer. We find the interference oscillations in transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , B. Marquardt , A. Lorke , G. Biasiol , L. Sorba

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

This is a review of electronic quantum interference in mesoscopic ring structures based on graphene, with a focus on the interplay between the Aharonov-Bohm effect and the peculiar electronic and transport properties of this material. We…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Jörg Schelter , Patrik Recher , Björn Trauzettel

Inverted-band $pn$ junctions in two-dimensional materials offer a promising platform for electron optics in condensed matter, as they allow to manipulate and guide electron beams without the need for spatial confinement. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yuhao Zhao , Oded Zilberberg , Antonio Štrkalj

We calculate the tunnelling current through a Fabry-P\'{e}rot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-drain voltage) we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Olaf Smits , Steven H. Simon , J. K. Slingerland

We derive a general capacitive interaction model for an antidot-based interferometer in the integer quantum Hall regime, and study Aharonov-Bohm resonances in a single antidot with multiple bound modes, as a function of the external…

Mesoscale and Nanoscale Physics · Physics 2011-01-17 W. -R. Lee , H. -S. Sim

A quantum Hall edge state provides a rich foundation to study electrons in 1-dimension (1d) but is limited to chiral propagation along a single direction. Here, we demonstrate a versatile platform to realize new 1d systems made by combining…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 J. D. Sanchez-Yamagishi , J. Y. Luo , A. F. Young , B. Hunt , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

We study the quantum self-organization of interacting particles in one-dimensional(1D) many-body systems, modeled via Hubbard chains with short-range interactions between the particles. We show the emergence of 1D states with density-wave…

Strongly Correlated Electrons · Physics 2021-04-06 Ioannis Kleftogiannis , Ilias Amanatidis

The fractional quantum hall effect (FQHE) is a milestone of modern day physics, its disovery paved the way for the study of fractional charges which do not obey abelian physics. However, all FQHE require an external magnetic field in order…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Christopher Sims

We report the detection of spin interference signal in an Aharonov-Bohm type interferometer with quantum dots on the conduction paths. We have found that resonators like quantum dots can work as efficient spin rotators. The interference…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Yu Iwasaki , Yoshiaki Hashimoto , Taketomo Nakamura , Shingo Katsumoto

We demonstrate real-time detection of self-interfering electrons in a double quantum dot embedded in an Aharonov-Bohm interferometer, with visibility approaching unity. We use a quantum point contact as a charge detector to perform…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Gustavsson , R. Leturcq , M. Studer , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

Aharonov-Bohm (AB) effect, the well-known archetype of electron-wave interference phenomena, has been explored extensively through transport measurements. However, these techniques lack spatial resolution that would be indispensable for…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Yi-Wen Liu , Ya-Ning Ren , Chen-Yue Hao , Lin He

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion relation. The same phenomenon will be explained in terms of the more traditional composite bosons, which move…

Superconductivity · Physics 2016-01-18 Shigeji Fujita , Akira Suzuki

We study the visibility of Aharonov-Bohm interference in an electronic Mach-Zehnder interferometer (MZI) in the integer quantum Hall regime. The visibility is controlled by the filling factor $\nu$ and is observed only between $\nu \approx…

Materials Science · Physics 2008-08-06 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

We study the quantum Hall effect (QHE) in graphene based on the current injection model. In our model, the presence of disorder, the edge-state picture, extended states and localized states, which are believed to be indispensable…

Mesoscale and Nanoscale Physics · Physics 2010-02-26 Tobias Kramer , Christoph Kreisbeck , Viktor Krueckl , Eric J Heller , Robert E Parrott , Chi-Te Liang

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 propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral p-wave superconductor. The effect is based on observing vortex interference patterns…

Superconductivity · Physics 2011-08-08 Eytan Grosfeld , Babak Seradjeh , Smitha Vishveshwara

To investigate quantum nature of two dimensional electrons subject to high perpendicular magnetic fields, usually a planar electronic Fabry-P\'erot interferometer is utilized. In this work, we investigate an interferometer defined on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 S. Seyyare Aksu , Oguzhan Kasikci , A. Siddiki

Quantum anomalous Hall (QAH) insulators exhibit chiral dissipationless edge states without an external magnetic field, making them a promising material for quantum metrology and microwave applications. However, the breakdown of the…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Torsten Röper , Daniel Rosenbach , Achim Rosch , Alexey A. Taskin , Yoichi Ando , Erwann Bocquillon

In this work, the classical and the quantum capacitances are calculated for a Fabry-P\'{e}rot interferometer operating in the integer quantized Hall regime. We first consider a rotationally symmetric electrostatic confinement potential and…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 O. Kilicoglu , D. Eksi , A. Siddiki