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Recent advances in strain engineering at the nanoscale have shown the feasibility to modulate the properties of graphene. Although the electron-phonon (e-ph) coupling and Kohn anomalies in graphene define the phonon branches contributing to…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 M. E. Cifuentes-Quintal , O. de la Peña-Seaman , R. Heid , R. de Coss , K. -P. Bohnen

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 M. A. Hidalgo

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

In orbital Chern insulators, the chemical potential acts as a tuning knob to reverse chirality in dissipationless edge currents, enabling electric-field control of magnetic order-key for future quantum electronics. Despite the rise of…

Strong Goos-H\"anchen (GH) effect at a prism-graphene interface in the quantum Hall effect (QHE) condition is reported. Based on the full quantum description of the temperature-dependent surface conductivity of graphene present in the…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 D. Jahani , O. Akhavan , A. Alidoust Ghatar

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Recent experiments on pentalayer rhombohedral graphene moir\'e superlattices have observed the quantum anomalous Hall effect at moir\'e filling factor of $\nu = 1$ and various fractional values. These phenomena are attributed to a flat…

Strongly Correlated Electrons · Physics 2024-12-30 Koji Kudo , Ryota Nakai , Kentaro Nomura

The functionalized graphene with induced superconductivity, Zeeman coupling, and finite Rashba spin-orbit coupling is proposed to display topological superconducting phases with Majorana end modes. We obtain the phase diagram of bulk…

Mesoscale and Nanoscale Physics · Physics 2016-01-21 Zhen-Hua Wang , Eduardo V. Castro , Hai-Qing Lin

We show that the anomalous Hall effect (AHE) at a magnetic interface with strong spin-orbit coupling can be tuned with an external electric field. By altering the strength of the inversion symmetry breaking, the electric field changes the…

Strongly Correlated Electrons · Physics 2018-12-24 Sayantika Bhowal , S. Satpathy

We study electron transport in a strained graphene sheet subjected to a sequence of $N$ electrostatic and magnetic barriers. Employing a modified and improved transfer-matrix framework, we examine how the transmission and reflection…

The combination of the unique properties of graphene with spin polarization and magnetism for the design of new spintronic concepts and devices has been hampered by the small Coulomb interaction and the tiny spin-orbit coupling of carbon in…

Materials Science · Physics 2012-02-03 Hongbin Zhang , Cesar Lazo , Stefan Blügel , Stefan Heinze , Yuriy Mokrousov

Quantum anomalous Hall effect (QAHE) is a fundamental transport phenomenon in the field of condensed-matter physics. Without external magnetic field, spontaneous magnetization combined with spin-orbit coupling give rise to a quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Z. F. Wang , Zheng Liu , Feng Liu

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

Quantum anomalous Hall (QAH) insulators with high Chern number (C) enables multiple dissipationless edge channels for low-power-consumption electronics. We report the realization of multiple high-C QAH insulators including C=3,5,6, and 7 in…

Electrons in topological flat bands can form novel topological states driven by the correlation effects. The penta-layer rhombohedral graphene/hBN moire superlattice has been shown to host fractional quantum anomalous Hall effect (FQAHE) at…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Jixiang Yang , Junseok Seo , Lihan Shi , Shenyong Ye , Kenji Watanabe , Takashi Taniguchi , Long Ju

The recent experimental observation of quantum anomalous Hall (QAH) effects in the rhombohedrally stacked pentalayer graphene has motivated theoretical discussions on the possibility of quantum anomalous Hall crystal (QAHC), a topological…

Strongly Correlated Electrons · Physics 2025-06-10 Boran Zhou , Ya-Hui Zhang

Graphene and its multilayers have attracted considerable interest owing to the fourfold spin and valley degeneracy of their charge carriers, which enables the formation of a rich variety of broken-symmetry states and raises the prospect of…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 Benjamin E. Feldman , Andrei J. Levin , Benjamin Krauss , Dmitry Abanin , Bertrand. I. Halperin , Jurgen H. Smet , Amir Yacoby

We address the question of the stability of the (fractional) quantum Hall effect (QHE) in presence of pseudomagnetic disorder generated by mechanical deformations of a graphene sheet. Neglecting the potential disorder and taking into…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Andrey A. Bagrov , Alessandro Principi , Mikhail I. Katsnelson

Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based materials. Some of the observed fractions are anomalous in that FQHE has not been established at these fractions in conventional GaAs systems. One such…

Strongly Correlated Electrons · Physics 2022-06-09 Rakesh K. Dora , Ajit C. Balram

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