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The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

Electronic screening strongly renormalizes the linear bands which occur near the Dirac crossing in graphene. The single bare Dirac crossing is split into two individual Dirac-like points, which are separated in energy but still at zero…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 J. P. F. LeBlanc , J. P. Carbotte , E. J. Nicol

We calculate the density of states (DOS) in graphene for electrons coupled to a phonon in an external magnetic field. We find that coupling to an Einstein mode of frequency $\omega_E$ not only shifts and broadens the Landau levels (LLs),…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Adam Pound , J. P. Carbotte , E. J. Nicol

Heterostructures of atomically-thin materials have attracted significant interest owing to their ability to host novel electronic properties fundamentally distinct from their constituent layers. In the case of graphene on boron nitride, the…

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

We investigated proximity-induced superconductivity in a graphene-insulating InO bilayer system through gate-controlled transport measurements. Distinct oscillations in the differential conductance are observed across both the electron and…

Superconductivity · Physics 2025-04-08 Yuxiao Wu , Udit Khanna , Eyal Walach , Efrat Shimshoni , Aviad Frydman

We report on resonance Raman spectroscopy measurements with excitation photon energy down to 1.16 eV on graphene, to study how low-energy carriers interact with lattice vibrations. Thanks to the excitation energy close to the Dirac point at…

We investigate the many-body instabilities of electrons interacting near Van Hove singularities arising in monolayer and twisted bilayer graphene. We show that a pairing instability must be dominant over the tendency to magnetic order as…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 J. Gonzalez

We study proximity effects in clean nanoscale superconductor-normal metal-superconductor (S$\mid$N$\mid$S) graphene heterostructures using a self-consistent numerical solution to the continuum Dirac Bogoliubov-de Gennes (DBdG) equations. We…

Superconductivity · Physics 2015-05-28 Klaus Halterman , Oriol T. Valls , Mohammad Alidoust

This paper reports on the topological effects of three-dimensional (3D) porous graphene with tunable pore sizes and a preserved 2D graphene system of Dirac quasiparticles on its electrical properties. This 3D architecture is characterized…

Materials Science · Physics 2020-02-20 Takuya Okamoto , Yoshikazu Ito , Naoka Nagamura , Keishi Akada , Takeshi Fujita , Yukio Kawano

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…

Mesoscale and Nanoscale Physics · Physics 2018-12-13 Francisco Guinea , Niels R. Walet

The Schr\"odinger equation dictates that the propagation of nearly free electrons through a weak periodic potential results in the opening of band gaps near points of the reciprocal lattice known as Brillouin zone boundaries. However, in…

Theory predicts that graphene under uniaxial compressive strain in an armchair direction should undergo a topological phase transition from a semimetal into an insulator. Due to the change of the hopping integrals under compression, both…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 J. Feilhauer , W. Apel , L. Schweitzer

We investigate a planar heterostructure composed of two graphene films separated by a narrow-gap semiconductor ribbon. We show that there is no the Klein paradox when the Dirac points of the Brillouin zone of graphene are in a band gap of a…

Materials Science · Physics 2015-05-13 P. V. Ratnikov , A. P. Silin

It is shown that in the absence of spontaneous symmetry breaking the Dirac cones in the system of interacting electrons on honeycomb lattice are isotropic at low energies. The effect is due to the $Z_3$ subgroup of the $D_3$ symmetry group…

Mesoscale and Nanoscale Physics · Physics 2009-05-19 Igor F. Herbut

We perform systematic first-principles calculations of the proximity exchange coupling, induced by cobalt (Co) and nickel (Ni) in graphene, via a few (up to three) layers of hexagonal boron nitride (hBN). We find that the induced spin…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Klaus Zollner , Martin Gmitra , Tobias Frank , Jaroslav Fabian

By means of atomistic tight-binding calculations, we investigate the effects of uniaxial strain on the electronic bandstructure of twisted graphene bilayer. We find that the bandstructure is dramatically deformed and the degeneracy of the…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 Viet Hung Nguyen , Philippe Dollfus

Electrons in quantum materials exhibiting coexistence of dispersionless (flat) bands piercing dispersive (steep) bands can give rise to strongly correlated phenomena, and are associated with unconventional superconductivity. It is known…

Strongly Correlated Electrons · Physics 2020-06-01 Stephen Carr , Chenyuan Li , Ziyan Zhu , Efthimios Kaxiras , Subir Sachdev , Alex Kruchkov

We present results of comprehensive first-principles and kp-method studies of electronic, magnetic, and topological properties of graphene on a monolayer of CrI$_3$. First, we identify a twist angle between the graphene and CrI$_3$, that…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 M. Jafari , M. Gmitra , A. Dyrdał

We have investigated the fractional quantum Hall states for the Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion relation of the electrons in the graphene significantly…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim M. Apalkov , Tapash Chakraborty