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A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only…

数学物理 · 物理学 2020-11-18 Cesar R. de Oliveira , Vinicius L. Rocha

We explore the electronic ground states of Bernal-stacked multilayer graphenes using the Hartree-Fock mean-field approximation and the full-parameter band model. We find that the electron-electron interaction tends to open a band gap in…

介观与纳米尺度物理 · 物理学 2017-07-05 Mikito Koshino , Kyoka Sugisawa , Edward McCann

We show that the low-energy electronic structure of arbitrarily stacked graphene multilayers with nearest-neighbor interlayer tunneling consists of chiral pseudospin doublets. Although the number of doublets in an $N$-layer system depends…

介观与纳米尺度物理 · 物理学 2008-04-11 Hongki Min , A. H. MacDonald

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…

强关联电子 · 物理学 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

We report the infrared transmission measurement on electrically gated twisted bilayer graphene. The optical absorption spectrum clearly manifests the dramatic changes such as the splitting of inter-linear-band absorption step, the shift of…

We theoretically show that an interlayer bias voltage in the AB-stacked bilayer graphene nanoribbons with armchair edges induces an electric polarization along the ribbon. Both tight-binding and ab initio calculations consistently indicate…

介观与纳米尺度物理 · 物理学 2015-10-20 Ryo Okugawa , Junya Tanaka , Takashi Koretsune , Susumu Saito , Shuichi Murakami

Electrostatic confinement of charge carriers in bilayer graphene provides a unique platform for carbon-based spin, charge or exchange qubits. By exploiting the possibility to induce a band gap with electrostatic gating, we form a versatile…

We have investigated the electronic structure of charged bilayer and trilayer phoshporene using first-principles, density-functional-theory calculations. We find that the effective dielectric constant for an external electric field applied…

介观与纳米尺度物理 · 物理学 2017-08-09 Bukyoung Jhun , Cheol-Hwan Park

Motivated by the recent experimental realization of twisted trilayer graphene and the observed superconductivity that is associated with its flat bands at specific angles, we study trilayer graphene under the influence of different forms of…

介观与纳米尺度物理 · 物理学 2021-12-08 I. A. Assi , J. P. F. LeBlanc , Martin Rodriguez-Vega , Hocine Bahlouli , Michael Vogl

A density-matrix formalism within the length gauge is developed to calculate the nonlinear response of both doped and undoped biased bilayer graphene (BBLG) at terahertz frequencies. Employing a tight-binding model, we derive an effective…

介观与纳米尺度物理 · 物理学 2017-08-09 Riley McGouran , Marc M. Dignam

Bilayer graphene twisted by a small angle shows a significant charge modulation away from neutrality, as the charge in the narrow bands near the Dirac point is mostly localized in the regions of the Moir\'e pattern with $AA$ stacking. The…

介观与纳米尺度物理 · 物理学 2018-12-13 Francisco Guinea , Niels R. Walet

The recent constructions of flat moir\'e minibands in specifically twisted multilayer graphene and twisted transition metal dichalcogenides (TMDs) have facilitated the observation of strong correlations with a convenient tunability. These…

介观与纳米尺度物理 · 物理学 2024-04-05 Jihang Zhu , Dawei Zhai , Cong Xiao , Wang Yao

Trilayer graphene {(TLG)} consists of three layers of graphene arranged in a particular stacking order. In the case of ABC-ABA-ABC stacking, the layers are arranged in an A-B-C sequence, followed by an A-B-A sequence, and again an A-B-C…

介观与纳米尺度物理 · 物理学 2024-05-28 Abderrahim El Mouhafid , Mouhamadou Hassane Saley , Ahmed Jellal

The Raman shift, broadening, and relative Raman intensities of bilayer graphene are computed as functions of the electron concentration. We include dynamic effects for the phonon frequencies and we consider the gap induced in the band…

材料科学 · 物理学 2009-09-11 Paola Gava , Michele Lazzeri , A. Marco Saitta , Francesco Mauri

Valley Hall effect has been observed in asymmetric single-layer and bilayer graphene systems. In single-layer graphene systems, asymmetry is introduced by aligning graphene with hexagonal boron nitride (hBN) with a near-zero twist angle,…

介观与纳米尺度物理 · 物理学 2023-11-16 Teppei Shintaku , Afsal Kareekunnan , Masashi Akabori , Kenji Watanabe , Takashi Taniguchi , Hiroshi Mizuta

Graphene can be turned into a semimetal with broken time-reversal symmetry by adding a valley-dependent pseudo-scalar potential that shifts the Dirac point energies in opposite directions, as in the modified Haldane model. We consider a…

介观与纳米尺度物理 · 物理学 2023-01-16 Marwa Mannaï , Jean-Noël Fuchs , Frédéric Piéchon , Sonia Haddad

The co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

介观与纳米尺度物理 · 物理学 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

Motivated by recent experiments indicating strong superconductivity and intricate correlated insulating and flavor-polarized physics in mirror-symmetric twisted trilayer graphene, we study the effects of interactions in this system close to…

强关联电子 · 物理学 2022-04-26 Maine Christos , Subir Sachdev , Mathias S. Scheurer

We demonstrate that the electronic gap of a graphene bilayer can be controlled externally by applying a gate bias. From the magneto-transport data (Shubnikov-de Haas measurements of the cyclotron mass), and using a tight binding model, we…

We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy…

介观与纳米尺度物理 · 物理学 2016-05-06 Ahmed Jellal , Ilham Redouani , Hocine Bahlouli