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Gapless bilayer graphene is susceptible to a variety of spontaneously gapped states. As predicted by theory and observed by experiment, the ground state is however topologically trivial, because a valley-independent gap is energetically…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Chunlei Qu , Chuanwei Zhang , Fan Zhang

We demonstrate the existence of a new type of zero energy state associated to vacancies in multilayer graphene that has a finite amplitude over the layer with a vacancy and adjacent layers, and the peculiarity of being quasi-localized in…

Materials Science · Physics 2010-02-05 Eduardo V. Castro , María P. López-Sancho , María A. H. Vozmediano

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…

Materials Science · Physics 2009-09-11 Paola Gava , Michele Lazzeri , A. Marco Saitta , Francesco Mauri

The nature of the interaction-driven spontaneously broken-symmetry state in charge neutral bilayer graphene (BLG) has attracted a lot of interest. Theoretical studies predict various ordered states as the candidates for the ground state of…

Mesoscale and Nanoscale Physics · Physics 2015-05-22 Junhua Zhang , Rahul Nandkishore , E. Rossi

We systematically calculate thermopower of biased and unbiased multilayer grphene systems. The effect of screening to a bias field perpendicular to the graphene planes is taken into account self-consistently under the Hartree approximation.…

Materials Science · Physics 2015-05-19 Lei Hao , T. K. Lee

Anderson impurity problem is considered for a graphene bilayer subject to a gap-opening bias. In-gap localized states are produced even when the impurity level overlaps with the continuum of band electrons. The effect depends strongly on…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 V. V. Mkhitaryan , E. G. Mishchenko

The statistical properties of the carrier density profile of graphene in the ground state in the presence particle-particle interaction and random charged impurity in zero gate voltage has been recently obtained by Najafi \textit{et al.}…

Statistical Mechanics · Physics 2018-07-18 M. N. Najafi , N. Ahadpour , J. Cheraghalizadeh , H. Dashti-Naserabadi

The flat bands in bilayer graphene(BLG) are sensitive to electric fields E\bot directed between the layers, and magnify the electron-electron interaction effects, thus making BLG an attractive platform for new two-dimensional (2D) electron…

Mesoscale and Nanoscale Physics · Physics 2012-03-23 J. Velasco , L. Jing , W. Bao , Y. Lee , P. Kratz , V. Aji , M. Bockrath , C. N. Lau , C. Varma , R. Stillwell , D. Smirnov , Fan Zhang , J. Jung , A. H. MacDonald

Scattering mechanisms in graphene are critical to understanding the limits of signal-to-noise-ratios of unsuspended graphene devices. Here we present the four-probe low frequency noise (1/f) characteristics in back-gated single layer…

Mesoscale and Nanoscale Physics · Physics 2010-08-05 Guangyu Xu , Carlos M. Torres , Yuegang Zhang , Fei Liu , Emil B. Song , Minsheng Wang , Yi Zhou , Caifu Zeng , Kang L. Wang

A theoretical study of the magnetoelectronic properties of zigzag and armchair bilayer graphene nanoribbons (BGNs) is presented. Using the recursive Green's function method, we study the band structure of BGNs in uniform perpendicular…

Mesoscale and Nanoscale Physics · Physics 2009-07-13 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

Scattering through natural porous formations (by far the most ubiquitous example of disordered media) represents a formidable tool to identify effective flow and transport properties. In particular, we are interested here in the scattering…

Soft Condensed Matter · Physics 2023-05-16 Gerardo Severino , Francesco Giannino

A distinctive feature of single layer graphene is the linearly dispersive energy bands, which in case of multilayer graphene become parabolic. Other than the quantum Hall effect, this distinction has been hard to capture in electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-01 Atindra Nath Pal , Subhamoy Ghatak , Vidya Kochat , Sneha E. S. , Arjun B. S. , Srinivasan Raghavan , Arindam Ghosh

We calculate the dynamical polarization function and solve a self-consistent gap equation in the random phase approximation in undoped ABC-stacked n-layer graphene. We find that the gap is maximal in trilayer graphene and decreases…

Strongly Correlated Electrons · Physics 2013-12-04 Junji Jia , E. V. Gorbar , V. P. Gusynin

We investigate the transport properties of double-gated bilayer graphene nanoribbons at room temperature. The devices were fabricated using conventional CMOS-compatible processes. By analyzing the dependence of the resistance at the charge…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Bartholomaeus N. Szafranek , Daniel Schall , Martin Otto , Daniel Neumaier , Heinrich Kurz

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

Graphene possesses remarkable electronic, optical and mechanical properties that have taken the research of two-dimensional relativistic condensed matter systems to prolific levels. However, the understanding of how its nonlinear optical…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 David N. Carvalho , Andrea Marini , Fabio Biancalana

In this paper, a real-space analytical expression for the free Green's function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green's function displays highly spatial anisotropy with three-fold…

Materials Science · Physics 2015-06-25 Z. F. Wang , Qunxiang Li , Haibin Su , Xiaoping Wang , Q. W. Shi , Jie Chen , Jinlong Yang , J. G. Hou

We investigate edge properties of a gapful rectangular graphene quantum dot in a staggered potential. In such a system gap states with discrete and closely spaced energy levels exist that are spatially located on the left or right zigzag…

Mesoscale and Nanoscale Physics · Physics 2017-09-29 Y. H. Jeong , S. -R. Eric Yang

In rhombohedral-stacked few-layer graphene, the very flat energy bands near the charge neutrality point are unstable to electronic interactions, giving rise to states with spontaneous broken symmetries. Using transport measurements on…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 K. Myhro , S. Che , Y. Shi , Y. Lee , K. Thilahar , K. Bleich , Dmitry Smirnov , C. N. Lau

In multilayer graphene, the stacking order of the layers plays a crucial role in the electronic properties and the manifestation of superconductivity. By applying shear stress, it is possible to induce sliding between different layers,…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jean Paul Nery , Lorenzo Monacelli , Francesco Mauri
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