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Recent experiments [M. Yamamoto et al., Nature Nanotechnology 7, 247 (2012)] used the transport of electrons through an Aharonov-Bohm interferometer and two coupled channels (at both ends of the interferometer) to demonstrate a manipulable…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. Aharony , S. Takada , O. Entin-Wohlman , M. Yamamoto , S. Tarucha

We report a numerical study on Aharonov-Bohm (AB) effect and giant magnetoresistance in rectangular rings made of graphene nanoribbons (GNRs). We show that in low energy regime where only the first subband of contact GNRs contributes to the…

Mesoscale and Nanoscale Physics · Physics 2013-07-05 Viet-Hung Nguyen , Yann-Michel Niquet , Philippe Dollfus

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

This is a numerical study of the conductance of an Aharonov-Bohm interferometer in a tight-binding model of graphene. Two single-mode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a…

Mesoscale and Nanoscale Physics · Physics 2007-09-24 A. Rycerz , C. W. J. Beenakker

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

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

We demonstrate a quantum Hall edge-channel interferometer in a high-quality graphene pn junction under a high magnetic field. The co-propagating p and n quantum Hall edge channels traveling along the pn interface functions as a built-in…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Sei Morikawa , Satoru Masubuchi , Rai Moriya , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

We provide a theoretical study of the conductance response of systems based on graphene nanoribbon to the potential of a scanning probe. The study is based on the Landauer approach for the tight-binding Hamiltonian with an implementation of…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran

We consider conductance mapping of the snake-orbits confined along the n-p junction defined in graphene by the electrostatic doping in the quantum Hall regime. We explain the periodicity of conductance oscillations at the magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

We present an electron interferometer defined purely by electrostatic gating in encapsulated bilayer graphene. This minimizes possible sample degradation introduced by conventional etching methods when preparing quantum devices. The device…

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

We consider a dilute fluorinated graphene nanoribbon as a spin-active element. The fluorine adatoms introduce a local spin-orbit Rashba interaction that induces spin-precession for electron passing by. In the absence of the external…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Bartlomiej Rzeszotarski , Alina Mrenca-Kolasinska , Bartlomiej Szafran

The ability to detect and distinguish quantum interference signatures is important for both fundamental research and for the realization of devices including electron resonators, interferometers and interference-based spin filters.…

We consider the currents flowing in a solid-state interferometer under the effect of both an Aharonov-Bohm phase and a bias potential. Expressions are obtained for these currents, allowing for electronic or electron-boson interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

We report experiments on a quantum electron interferometer fabricated from high mobility, low density GaAs/AlGaAs heterostructure material. In this device, a nearly circular electron island is defined by four front gates deposited in etched…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , W. Zhou , V. J. Goldman

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

Armchair graphene nanoribbons are a highly promising class of semiconductors for all-carbon nanocircuitry. Here, we present a new perspective on their electronic structure from simple model Hamiltonians and $\textit{ab initio}$…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 Nikita V. Tepliakov , Johannes Lischner , Efthimios Kaxiras , Arash A. Mostofi , Michele Pizzochero

We theoretically study a current switch that exploits the phase acquired by a charge carrier as it tunnels through a potential barrier in graphene. The system acts as an interferometer based on an armchair graphene quantum ring, where the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 D. J. P. de Sousa , Andrey Chaves , J. M. Pereira , G. A. Farias

In this work we analyze an Aharonov-Bohm interferometer in the tunneling regime. In this regime, current magnification effect which arises in presence of transport currents is absent. A slight modification in the form of a quantum well…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Colin Benjamin , A. M. Jayannavar

Accessing intrinsic properties of a graphene device can be hindered by the influence of contact electrodes. Here, we capacitively couple graphene devices to superconducting resonant circuits and observe clear changes in the resonance-…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 V. Ranjan , S. Zihlmann , P. Makk , K. Watanabe , T. Taniguchi , C. Schönenberger