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Graphene is a two dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions which…

Strongly Correlated Electrons · Physics 2011-07-28 Maria A. H. Vozmediano

We discuss topological aspects of electronic properties of graphene, including edge effects, with the tight-binding model on a honeycomb lattice and its extensions to show the following: (i) Appearance of the pairn of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Hatsugai , T. Fukui , H. Aoki

The recent Quantum Hall experiments in graphene have confirmed the theoretically well-understood picture of the quantum Hall (QH) conductance in fermion systems with continuum Dirac spectrum. In this paper we take into account the lattice,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Andrei Bernevig , Taylor L. Hughes , Han-Dong Chen , Congjun Wu , Shou-Cheng Zhang

Large-angle twisted bilayer graphene (TBLG) realizes a multicomponent quantum Hall (QH) platform of spin, valley and layer pseudospins with strong Coulomb interaction-driven symmetry broken phases. Here, we investigate the low energy…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Vineet Pandey , Prasenjit Ghosh , Riju Pal , Sourav Paul , Abhijith M B , Kenji Watanabe , Takashi Taniguchi , Atindra Nath Pal , Vidya Kochat

Using a novel structure, consisting of two, independently contacted graphene single layers separated by an ultra-thin dielectric, we experimentally measure the Coulomb drag of massless fermions in graphene. At temperatures higher than 50 K,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Seyoung Kim , Insun Jo , Junghyo Nah , Z. Yao , S. K. Banerjee , E. Tutuc

The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Mark O. Goerbig

We quantum mechanically analyze the fractional quantum Hall effect in graphene. This will be done by building the corresponding states in terms of a potential governing the interactions and discussing other issues. More precisely, we…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Bellati Malika

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

We report on numerical study of the Dirac fermions in partially filled N=3 Landau level (LL) in graphene. At half-filling, the equal-time density-density correlation function displays sharp peaks at nonzero wavevectors $\pm {\bf q^{*}}$.…

Strongly Correlated Electrons · Physics 2008-03-31 Hao Wang , D. N. Sheng , L. Sheng , F. D. M. Haldane

In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

The spectrum of two-dimensional (2D) plasma waves in graphene has been recently studied in the Dirac fermion model. We take into account the whole dispersion relation for graphene electrons in the tight binding approximation and the local…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Timur Tudorovskiy , Sergey A. Mikhailov

Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

We show that chiral edge states in graphene under Quantum Hall effect conditions can be selectively probed and excited by terahertz or infrared radiation with single-quasiparticle sensitivity without affecting bulk states. Moreover,…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Ashutosh Singh , Maria Sebastian , Mikhail Tokman , Alexey Belyanin

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

Monolayer graphene in a strong magnetic field exhibits quantum Hall states at filling fractions $\nu = 0$ and $\nu = \pm 1$ that are not explained within a picture of noninteracting electrons. We propose that these states arise from…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Bitan Roy , Malcolm P. Kennett , S. Das Sarma

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

Strongly Correlated Electrons · Physics 2015-06-04 Van-Nham Phan , Holger Fehske

Monolayer graphene is an example of materials with multi-valley electronic structure. In such materials, the valley index is being considered as an information carrier. Consequently, relaxation mechanisms leading to loss of valley…

Mesoscale and Nanoscale Physics · Physics 2015-08-28 Péter Boross , András Pályi

Massless Dirac fermions in graphene at charge neutrality form a strongly interacting system in which both charged and neutral (energy) modes play an important role. These modes are essentially decoupled in the absence of a magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2013-09-20 Justin C. W. Song , Leonid S. Levitov