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The emergence of interference is observed in the resistance of a graphene annulus pn junction device as a result of applying two separate gate voltages. The observed resistance patterns are carefully inspected, and it is determined that the…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Son T. Le , Albert F. Rigosi , Joseph A. Hagmann , Christopher Gutierrez , Ji Ung Lee , Curt A. Richter

The tunable magnetism at graphene edges with lengths of up to 48 unit cells is analyzed by an exact diagonalization technique. For this we use a generalized interacting one-dimensional model which can be tuned continuously from a limit…

Strongly Correlated Electrons · Physics 2011-05-26 David J. Luitz , Fakher F. Assaad , Manuel J. Schmidt

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

We report real-time detection of longitudinal and transverse transport responses across distinct frequency bands in a ferromagnetic filling factor $\nu$ = 1 integer quantum Hall state. By tuning $\nu$, we simultaneously access the evolution…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Hoai Anh Ho , Jian Huang , L. N. Pfeiffer , K. W. West

We combine the ideas of intensity interferometry, polarization optics and Bell's measurement into an experimental proposal which is hosted in a $\nu\,$=$\,2$ quantum Hall (QH) edge state. Our interferometer comprises of a single gate, that…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Krishanu Roychowdhury , Disha Wadhawan , Poonam Mehta , Biswajit Karmakar , Sourin Das

The two-dimensional nature of graphene makes it an ideal platform to explore proximity-induced unconventional planar superconductivity and the possibility of topological superconductivity. Using Green's functions techniques, we study the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Oscar E. Casas , Shirley Gómez Páez , Alfredo Levy Yeyati , Pablo Burset , William J. Herrera

Graphene quantum dots (GQDs) can exhibit a range of spectacular phenomena such as the Klein-tunneling-induced quasibound states1-6 and Berry-phase-tuned energy spectra7-15. According to previous studies, all these interesting quantum…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Hui-Ying Ren , Ya-Ning Ren , Qi Zheng , Jia-Qi He , Lin He

The surface bound electronic states of three-dimensional topological insulators, as well as the edge states in two-dimensional topological insulators, are investigated in the presence of a circularly polarized light. The strong coupling…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Andrii Iurov , Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

The interplay between the confinement potential and electron-electron interactions causes reconstructions of Quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Torsten Karzig , Alex Levchenko , Leonid I. Glazman , Felix von Oppen

We study the spin exchange between two electrons localized in separate quantum dots in graphene. The electronic states in the conduction band are coupled indirectly by tunneling to a common continuum of delocalized states in the valence…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Matthias Braun , P. R. Struck , Guido Burkard

We study edge-states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. We find that the edge-bands dispersion can be controlled by potentials applied on the boundary with unit cell length scale. Under…

Mesoscale and Nanoscale Physics · Physics 2009-03-11 Wang Yao , Shengyuan A. Yang , Qian Niu

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

We show that exchange interactions in two-dimensional electron gases out of equilibrium can generate a fictitious vector potential with intriguing signatures in interference and Hall measurements. Detailed predictions are made for graphene,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Kindermann

Laterally localized electronic states are identified on a single layer of graphene on ruthenium. The individual states are separated by 3 nm and comprise regions of about 90 carbon atoms. This constitutes a quantum dot array, evidenced by…

Materials Science · Physics 2010-07-08 H. G. Zhang , H. Hu , Y. Pan , J. H. Mao , M. Gao , H. M. Guo , S. X. Du , T. Greber , H. -J. Gao

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

Recent quantum Hall experiments conducted on disordered graphene pn junction provide evidence that the junction resistance could be described by a simple Ohmic sum of the n and p mediums' resistances. However in the ballistic limit, theory…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Tony Low

Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron nitride substrates. The evolution and…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Shibing Tian , Pengjie Wang , Xin Liu , Junbo Zhu , Hailong Fu , Takashi Taniguch , Kenji Watanabe , Jian-Hao Chen , Xi Lin

We investigate edge reconstruction scenarios in the $\nu = 1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Sampurna Karmakar , Amulya Ratnakar , Sourin Das