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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

We have studied quantum interference between electrons and holes in a split-ring gold interferometer with graphene arms, one of which contained a pn junction. The carrier type, the pn junction and the phase of the oscillations in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Atikur Rahman , Janice Wynn Guikema , Soo Hyung Lee , Nina Markovic

We investigate experimentally transport through ring-shaped devices etched in graphene and observe clear Aharonov-Bohm conductance oscillations. The temperature dependence of the oscillation amplitude indicates that below 1 K the phase…

We investigate the magnetoresistance of a side-gated ring structure etched out of single-layer graphene. We observe Aharonov-Bohm oscillations with about 5% visibility. We are able to change the relative phases of the wave functions in the…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Magdalena Huefner , Françoise Molitor , Arnhild Jacobsen , Alessandro Pioda , Christoph Stampfer , Klaus Ensslin , Thomas Ihn

Aharonov-Bohm (AB) interferences in the quantum Hall regime can be achieved, provided that electrons are able to transmit between two edge channels in nanostructures. Pioneering approaches include quantum point contacts in 2DEG systems,…

Mesoscale and Nanoscale Physics · Physics 2019-11-21 Viet Hung Nguyen , Jean-Christophe Charlier

Simulating quantum transport through mesoscopic, ring-shaped graphene structures, we address various quantum coherence and interference phenomena. First, a perpendicular magnetic field, penetrating the graphene ring, gives rise to…

Mesoscale and Nanoscale Physics · Physics 2018-05-21 Alexander Filusch , Christian Wurl , Andreas Pieper , Holger Fehske

We define a mesoscopic ring in a 2-dimensional electron gas (2DEG) interrupted by two tunnel barriers, enabling us to apply a well-defined potential difference between the two halves of the ring. The electron interference in the ring is…

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (a {\em two-slit-like}) setup a conducting ring is pierced by…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 Adam Rycerz , Dominik Suszalski

The effect of electron-electron interaction on the electronic structure of Aharonov-Bohm (AB) graphene quantum rings (GQRs) is explored theoretically using the single-band tight-binding Hamiltonian and the mean-field Hubbard model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 R. Farghadan , A. Saffarzadeh , E. Heidari Semiromi

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen

With an atomic force microscope a ring geometry with self-aligned in-plane gates was directly written into a GaAs/AlGaAs-heterostructure. Transport measurements in the open regime show only one transmitting mode and Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. F. Keyser , S. Borck , R. J. Haug , W. Wegscheider , M. Bichler , G. Abstreiter

We report a study of the Aharonov-Bohm effect, the oscillations of the resistance of a mesoscopic ring as a function of a perpendicular magnetic field, in a GaAs two-dimensional hole system with a strong spin-orbit interaction. The Fourier…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jeng-Bang Yau , E. P. De Poortere , M. Shayegan

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 measured Aharonov-Bohm resistance oscillations in a shallow two-dimensional GaAs hole ring structure, defined by local anodic surface oxidation. The amplitude of the oscillations is about 10% of the ring resistance, the strongest seen in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Habib , E. Tutuc , M. Shayegan

We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic field vanishes on and in the vicinity of the graphene sheet and…

Mathematical Physics · Physics 2020-09-28 Mikhail I. Katsnelson , Vladimir Nazaikinskii

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

The Aharonov-Bohm (AB) interference patterns in ring-shaped conductors are usually dominated by random features. The amplitude of the oscillations is random from sample to sample and from point to point on the magnetic field axis owing to…

Condensed Matter · Physics 2009-10-22 J. Liu , W. X. Gao , K. Ismail , K. Y. Lee , J. M. Hong , S. Washburn

Graphene is a stable single atomic layer material exhibiting two-dimensional electron gas of massless Dirac fermions of high mobility. One of the intriguing properties of graphene is a possibility of realization of the Tamm-type edge…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Yu. I. Latyshev , A. P. Orlov , V. A. Volkov , V. V. Enaldiev , I. V. Zagorodnev , O. F. Vyvenko , Yu. V. Petrov , P. Monceau

Electron interferometry with quantum Hall edge channels holds promise for probing and harnessing exotic exchange statistics of non-Abelian anyons. In semiconductor heterostructures, however, quantum Hall interferometry has proven…

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