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The creation of van der Waals heterostructures based on a graphene monolayer and other two-dimensional crystals has attracted great interest because atomic registry of the two-dimensional crystals can modify the electronic spectra and…

Materials Science · Physics 2014-09-09 Wei Yan , Lan Meng , Mengxi Liu , Jia-Bin Qiao , Zhao-Dong Chu , Rui-Fen Dou , Zhongfan Liu , Jia-Cai Nie , Lin He

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

Mesoscale and Nanoscale Physics · Physics 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

We formulate a theory of transport in graphene bilayers in the weak momentum scattering regime in such a way as to take into account contributions to the electrical conductivity to leading and next-to-leading order in the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dimitrie Culcer , R. Winkler

This thesis studies how the rudimentary attributes of graphene's charge carriers, and local moments on its surface, can be directly manipulated and controlled with electrostatic potentials. We first consider bilayer graphene subject to a…

Strongly Correlated Electrons · Physics 2013-09-25 Matthew Killi

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

We model optical absorption of monolayer and bilayer graphene on hexagonal boron nitride for the case of closely-aligned crystal lattices. We show that perturbations with different spatial symmetry can lead to similar absorption spectra. We…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 D. S. L. Abergel , M. Mucha-Kruczynski

The edges of graphene-based systems possess unusual electronic properties, originating from the non-trivial topological structure associated to the pseudo-spinorial character of the electron wave-functions. These properties, which have no…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Jian Li , Ivar Martin , Markus Buttiker , Alberto F. Morpurgo

Two-dimensional (2D) crystals' edge structures not only influence their overall properties but also dictate their formation due to edge-mediated synthesis and etching processes. Edges must be carefully examined because they often display…

Mesoscale and Nanoscale Physics · Physics 2022-08-03 Sol Lee , Yangjin Lee , Li Ping Ding , Kihyun Lee , Feng Ding , Kwanpyo Kim

The unique capabilities of capacitance measurements in bilayer graphene enable probing of layer-specific properties that are normally out of reach in transport measurements. Furthermore, capacitance measurements in the top-gate and…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Andrea F. Young , Leonid S. Levitov

We study the effect of spatial modulations in the interlayer hopping of graphene bilayers, such as those that arise upon shearing or twisting. We show that their single-particle physics, characterized by charge accumulation and recurrent…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pablo San-Jose , Jose Gonzalez , Francisco Guinea

We present infrared spectra (0.1-1 eV) of electrostatically gated bilayer graphene as a function of doping and compare it with tight binding calculations. All major spectral features corresponding to the expected interband transitions are…

Strongly Correlated Electrons · Physics 2009-11-13 A. B. Kuzmenko , E. van Heumen , D. van der Marel , P. Lerch , P. Blake , K. S. Novoselov , A. K. Geim

We study the effect of a local potential shift induced by a side electrode on the edge modes at the boundary between gapped and ungapped bilayer graphene. A potential shift close to the gapped-ungapped boundary causes the emergence of…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Hira Ali , Llorenç Serra

While the exponential decay of tunneling probability with barrier thickness is well known, the accompanying oscillations with thickness have been comparatively less explored. Using a tight binding model, we investigate an AB-stacked bilayer…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ryo Tamura

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We present the first Raman spectroscopic study of Bernal bilayer graphene flakes under uniaxial tension. Apart from a purely mechanical behavior in flake regions where both layers are strained evenly, certain effects stem from inhomogeneous…

Two-dimensional systems with flat bands support correlated phases such as superconductivity and charge fractionalization. While twisted moire systems like twisted bilayer graphene have revealed such states, they remain complex to control.…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Elias Andrade , Alejandro Jimeno-Pozo , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis

Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band…

Mesoscale and Nanoscale Physics · Physics 2010-10-06 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

Electronic and transport properties of bilayer heterostructure under light irradiation are of fundamental interest to improve functionality of optoelectronic devices. We theoretically study the modification of transport properties of…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 Pascal Stadler , Mikael Fogelström

We evaluate the optical reflectivity for a uniaxially strained graphene single layer between a SiO2 substrate and air. A tight binding model for the band dispersion of graphene is employed. As a function of the strain modulus and direction,…

Mesoscale and Nanoscale Physics · Physics 2010-01-04 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci