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Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

We report on the fabrication and transport studies of a single-layer graphene p-n junction. Carrier type and density in two adjacent regions are individually controlled by electrostatic gating using a local top gate and a global back gate.…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 J. R. Williams , L. DiCarlo , C. M. Marcus

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

Charge carriers in the quantum Hall regime propagate via one-dimensional conducting channels that form along the edges of a two-dimensional electron gas. Controlling their transmission through a gate-tunable constriction, also called…

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

Quantum Hall effects offer a formidable playground for the investigation of quantum transport phenomena. Edge modes can be detected, branched, and mixed by designing a suitable potential landscape in a two-dimensional conducting system…

Graphene quantum point contacts (QPCs) in the quantum Hall regime host competing transport mechanisms including chiral edge propagation, valley degeneracy, and gate-induced mode mixing. Their interplay is not visible in conductance alone.…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Shakthidhar Vilvanathan , Jerin Saji , Kristiana Frei , Jakub Tworzydlo , Manohar Kumar

We present a device architecture of hybrid-edge and dual-gated quantum point contact. We demonstrate improved electrostatic control over the separation, position, and coupling of each broken-symmetry compressible strip in graphene. Via…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Wei Ren , Xi Zhang , Jaden Ma , Xihe Han , Kenji Watanabe , Takashi Taniguchi , Ke Wang

Quantum Hall edge states are the paradigmatic example of the bulk-boundary correspondence. They are prone to intricate reconstructions calling for their detailed investigation at high spatial resolution. Here, we map quantum Hall edge…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 T. Johnsen , C. Schattauer , S. Samaddar , A. Weston , M. Hamer , K. Watanabe , T. Taniguchi , R. Gorbachev , F. Libisch , M. Morgenstern

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. Electronic transport measurements have been used to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Dmitri A. Abanin , Leonid S. Levitov , Philip Kim

We report distinctive magnetotransport properties of a graphene p-n-p junction prepared by controlled diffusion of metallic contacts. In most cases, materials deposited on a graphene surface introduce substantial carrier scattering, which…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Cheng-Hua Liu , Po-Hsiang Wang , Tak-Pong Woo , Fu-Yu Shih , Shih-Ching Liou , Po-Hsun Ho , Chun-Wei Chen , Chi-Te Liang , Wei-Hua Wang

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 M. D. Petrović , F. M. Peeters

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

The quantum Hall and longitudinal resistances in multi-terminal ferromagnetic graphene p-n junctions under a perpendicular magnetic field are investigated. In the Hall measurements, the transverse contacts are assumed to be located at p-n…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Lei Xu , Jin An , Chang-De Gong

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

Four-terminal resistances, both longitudinal and diagonal, of a locally gated graphene device are measured in the quantum-Hall (QH) regime. In sharp distinction from previous two-terminal studies [J. R. Williams \textit{et al.}, Science…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Dong-Keun Ki , Hu-Jong Lee

The edge states of the quantum Hall and fractional quantum Hall effect of a two-dimensional electron gas provide key access to the excitations of the bulk. Here we demonstrate controlled transmission of edge states in bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing Li , Hua Wen , Kenji Watanabe , Takashi Taniguchi , Jun Zhu
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