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We calculate the dynamical conductivity of AA-stacked bilayer graphene as a function of frequency and in the presence of a finite chemical potential due to charging. Unlike the monolayer, we find a Drude absorption at charge neutrality in…

Mesoscale and Nanoscale Physics · Physics 2013-03-01 Calvin J. Tabert , Elisabeth J. Nicol

The nature of electron correlations in bilayer graphene has been investigated. An analytic expression for the radial distribution function is derived for an ideal electron gas and the corresponding static structure factor is evaluated. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

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 the collective modes of the quantum Hall states in undoped bilayer graphene in a strong perpendicular magnetic and electric field. Both for the well-known ferromagnetic state that is relevant for small electric field $E_\perp$ and…

Strongly Correlated Electrons · Physics 2011-05-04 Csaba Toke , Vladimir I. Fal'ko

We perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang

Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid to a strongly correlated two-dimensional electron system with properties that are extraordinarily sensitive to carrier density and to controllable…

Mesoscale and Nanoscale Physics · Physics 2020-12-14 Eva Y. Andrei , Allan H. MacDonald

Bilayer graphene is a nanomaterial that allows for well-defined, separated quantum states to be defined by electrostatic gating and, therefore, provides an attractive platform to construct tunable quantum dots. When a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Jozef Bucko , Frank Schäfer , František Herman , Rebekka Garreis , Chuyao Tong , Annika Kurzmann , Thomas Ihn , Eliska Greplova

We have carried out ab initio electronic structure calculations on graphane (hydrogenated graphene) with single and double vacancy defects. Our analysis of the density of states reveal that such vacancies induce the mid gap states and…

Materials Science · Physics 2010-02-11 Bhalchandra S. Pujari , D. G. Kanhere

We consider confinement of Dirac fermions in $AB$-stacked bilayer graphene by inhomogeneous on-site interactions, (pseudo-)magnetic field or inter-layer interaction. Working within the framework of four-band approximation, we focus on the…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Miguel Castillo-Celeita , Vít Jakubský , Kevin Zelaya

We present a theoretical study of the electronic structure of magnetically modulated graphene. We consider monolayer graphene in the presence of a perpendicular magnetic field and a unidirectional weak magnetic modulation. The density of…

Mesoscale and Nanoscale Physics · Physics 2012-02-06 K. Sabeeh , M. Tahir , A. MacKinnon

We present a theoretical study of the electronic structure of modulated graphene in the presence of a perpendicular magnetic field. The density of states and the bandwidth for the Dirac electrons in this system are determined. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M Tahir , K Sabeeh , A MacKinnon

In a tight-binding model of AA-stacked bilayer graphene, it is demonstrated that a bound defect state within the region of continuous spectrum can exist stably with respect to variations in the strength of a perpendicular magnetic field.…

Mathematical Physics · Physics 2023-07-13 Stephen P. Shipman , Jorge Villalobos

Floquet engineering provides an emerging pathway for tailoring the electronic states of quantum materials through time-periodic drive. A critical step along this direction is achieving light-induced modifications of the dynamical electronic…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Fei Wang , Xuanxi Cai , Wanying Chen , Jinxi Lu , Tianshuang Sheng , Xiao Tang , Jiansong Li , Hongyun Zhang , Shuyun Zhou

The electronic and optical properties of nonuniform bilayer graphene nanoribbons are worth investigating as they exhibit rich magnetic quantization. Based on our numerical results, their electronic and optical properties strongly depend on…

Computational Physics · Physics 2016-10-18 Hsien-Ching Chung , Yu-Tsung Lin , Shih-Yang Lin , Ching-Hong Ho , Cheng-Peng Chang , Ming-Fa Lin

We study the band structures of hybrid graphene quantum dots subject to a magnetic flux and electrostatic potential. The system is consisting of a circular single layer graphene surrounded by an infinite bilayer graphene. By solving the…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Bouchaib Lemaalem , Youness Zahidi , Ahmed Jellal

We present a self-consistent calculation of the interlayer asymmetry in bilayer graphene caused by an applied electric field in magnetic fields. We show how this asymmetry influences the Landau level spectrum in bilayer graphene and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Mucha-Kruczynski , E. McCann , V. I. Fal'ko

Many-body effects in condensed matter yield novel quantum states when the electronic density of states is enhanced. A vivid example is flat bands, which suppress kinetic energy and let interactions dominate, when they are filled with an…

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

We determine the optical properties of gated bilayer graphene quantum dots with trigonal warping (TW) of single-particle energy spectra. The lateral structure of metallic gates confines electrons and holes in a quantum dot (QD)…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Matthew Albert , Daniel Miravet , Yasser Saleem , Katarzyna Sadecka , Marek Korkusinski , Gabriel Bester , Pawel Hawrylak

A perpendicular electric field breaks the layer symmetry of Bernal-stacked bilayer graphene, resulting in the opening of a band gap and a modification of the effective mass of the charge carriers. Using scanning tunneling microscopy and…