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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

We analyze the quantum Hall effect in single layer graphene with bilayer stripe defects. Such defects are often encountered at steps in the substrate of graphene grown on silicon carbide. We show that AB or AA stacked bilayer stripes result…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Tomas Lofwander , Pablo San-Jose , Elsa Prada

Two-terminal conductance quantization in the context of quantum Hall (QH) physics is intimately related to the current carried by a discrete number of chiral edge modes. Upon pinching off a QH bar, one may engineer setups where some modes…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Sourav Manna , Ankur Das , Yuval Gefen , Moshe Goldstein

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

We report on the observation of periodic conductance oscillations near quantum Hall plateaus in suspended graphene nanoribbons. They are attributed to single quantum dots that form in the narrowest part of the ribbon, in the valleys and…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 E. Tóvári , P. Makk , P. Rickhaus , C. Schönenberger , S. Csonka

We theoretically study the quantum Hall effect (QHE) in graphene with an ac electric field. Based on the tight-binding model, the structure of the half-integer Hall plateaus at $\sigma_{xy} = \pm(n + 1/2)4e^2/h$ ($n$ is an integer) gets…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Kai-He Ding , Lih-King Lim , Gang Su , Zheng-Yu Weng

We report on our accurate evaluation of spin polarizations of the ground state and particle-hole gaps for partially-filled lowest Landau level, observed in recent experiments on graphene subjected to ultra-high magnetic fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tapash Chakraborty , Pekka Pietilainen

We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Petra Högl , Tobias Frank , Klaus Zollner , Denis Kochan , Martin Gmitra , Jaroslav Fabian

We report on microscopic measurements of the low-energy electronic structures both at zigzag and armchair edges of bilayer graphene using scanning tunneling microscopy and spectroscopy (STM and STS). We have found that, both in the absence…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Long-Jing Yin , Yu Zhang , Jia-Bin Qiao , Si-Yu Li , Lin He

An unusually wide plateau in the quantized Hall resistance has been revealed for a MQW heterostructure of wide p-GeSi / Ge / p-GeSi quantum wells with the Fermi energy comparable to the well bottom bending amplitude. This plateau exists in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. V. Yakunin , Yu. G. Arapov , O. A. Kuznetsov , V. N. Neverov

The realization of p-n junctions in graphene, combined with the gapless and chiral nature of its massless Dirac fermions has led to the observation of many intriguing phenomena such as quantum Hall effect in bipolar regime, Klein tunneling,…

Mesoscale and Nanoscale Physics · Physics 2016-08-07 Thiti Taychatanapat , Jun You Tan , Yuting Yeo , Kenji Watanabe , Takashi Taniguchi , Barbaros Özyilmaz

We have studied quantized transport in HgTe wells with inverted band structure corresponding to the two-dimensional topological insulator phase (2D TI) with locally-controlled density allowing n-p-n and n-2D TI-n junctions. The resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 G. M. Gusev , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

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…

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

In graphene superlattices, bulk topological currents can lead to long-range charge-neutral flow and non-local resistance near Dirac points. A ballistic version of these phenomena has never been explored. Here, we report transport properties…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 K. Komatsu , Y. Morita , E. Watanabe , D. Tsuya , K. Watanabe , T. Taniguchi , S. Moriyama

ABC-stacked trilayer graphene's chiral band structure results in three ($n=0,1,2$) Landau level orbitals with zero kinetic energy. This unique feature has important consequences on the interaction driven states of the 12-fold degenerate…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Yafis Barlas , R. Cote , Maxime Rondeau

We numerically study a 5/2 fractional quantum Hall system with even number of electrons using the exact diagonalization where both the strong Landau level (LL) mixing and a finite width of the quantum well have been considered and adapted…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Wenchen Luo , Wei Zhang , Yutao Hu , Hao Wang

Previous works on deformed graphene predict the existence of valley-polarized states, however, optimal conditions for their detection remain challenging. We show that in the quantum Hall regime, edge-like states in strained regions can be…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 D. Faria , C. León , L. R. F. Lima , A. Latgé , N. Sandler

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

We have realized an integer quantum Hall system with superconducting contacts by connecting graphene to niobium electrodes. Below their upper critical field of 4 tesla, an integer quantum Hall effect coexists with superconductivity in the…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Peter Rickhaus , Markus Weiss , Laurent Marot , Christian Schönenberger
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