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The interplay between quantum Hall states and Cooper pairs is usually hindered by the suppression of the superconducting state due to the strong magnetic fields needed to observe the quantum Hall effect. From this point of view graphene is…

Superconductivity · Physics 2015-06-03 Lucian Covaci , Francois Peeters

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang

Electrons behave like a classical fluid with a momentum distribution function that varies slowly in space and time when the quantum mechanical carrier-carrier scattering dominates over all other scattering processes. Recent experiments in…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 Derek Y. H. Ho , Indra Yudhistira , Nilotpal Chakraborty , Shaffique Adam

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electrical field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the…

Mesoscale and Nanoscale Physics · Physics 2017-04-24 F. Fillion-Gourdeau , P. Blain , D. Gagnon , C. Lefebvre , S. MacLean

The quantum Hall physics of bilayer graphene is extremely rich due to the interplay between a layer degree of freedom and delicate fractional states. Recent experiments show that when an electric field perpendicular to the bilayer causes…

Strongly Correlated Electrons · Physics 2023-06-27 Michael P. Zaletel , Scott Geraedts , Zlatko Papić , Edward H. Rezayi

Interactions among electrons can give rise to striking collective phenomena when the kinetic energy of charge carriers is suppressed. One example is the fractional quantum Hall effect, in which correlations between electrons moving in two…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Benjamin E. Feldman , Benjamin Krauss , Jurgen H. Smet , Amir Yacoby

We study electronic transport in graphene under the influence of a transversal magnetic field $\f{B}(\f{r})=B(x)\f{e}_z$ with the asymptotics $B(x\to\pm\infty)=\pm B_0$, which could be realized via a folded graphene sheet in a constant…

Mesoscale and Nanoscale Physics · Physics 2013-01-18 Friedemann Queisser , Ralf Schützhold

The quantum anomalous Hall effect (QAHE) is a robust topological phenomenon featuring quantized Hall resistance at zero magnetic field. We report the QAHE in a rhombohedral pentalayer graphene/monolayer WS2 heterostructure. Distinct from…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Tonghang Han , Zhengguang Lu , Yuxuan Yao , Jixiang Yang , Junseok Seo , Chiho Yoon , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Fan Zhang , Long Ju

We discuss the quantum Hall effect of bilayer graphene with finite gate voltage where the Fermi energy exceeds the interlayer hopping energy. We calculated magnetic susceptibility, diagonal and off-diagonal conductivities in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masaaki Nakamura , Lila Hirasawa , Ken-Ichiro Imura

Photo-excitation in solids can trigger a cascade in which multiple particle-hole excitations are generated. We analyze the carrier multiplication cascade of impact excitation processes in graphene and show that the number of pair…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Justin C. W. Song , Klaas J. Tielrooij , Frank H. L. Koppens , Leonid S. Levitov

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

We study, within the tight-binding approximation, the electronic properties of a graphene bilayer in the presence of an external electric field applied perpendicular to the system -- \emph{biased bilayer}. The effect of the perpendicular…

Electronic localization is numerically studied in disordered bilayer graphene with an electric-field induced energy gap. Bilayer graphene is a zero-gap semiconductor, in which an energy gap can be opened and controlled by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino

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

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works,…

Strongly Correlated Electrons · Physics 2012-05-31 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

Despite much theoretical work, developing a comprehensive ab initio model for twisted bilayer graphene (TBG) has proven challenging due to the inherent trade-off between accurately describing the band structure and incorporating the…

Strongly Correlated Electrons · Physics 2025-09-25 Run Hou , Shouvik Sur , Lucas K. Wagner , Andriy H. Nevidomskyy

When passing an optical medium in the presence of a magnetic field, the polarization of light can be rotated either when reflected at the surface (Kerr effect) or when transmitted through the material (Faraday rotation). This phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Viet Hung Nguyen , Aurélien Lherbier , Jean-Christophe Charlier

Spatially indirect excitons can be created when an electron and a hole, confined to separate layers of a double quantum well system, bind to form a composite Boson. Because there is no recombination pathway such excitons are long lived…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 J. I. A. Li , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean