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Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

We study spectra of long wavelength plasma oscillations in a system of two energy splitted one-dimensional (1D) massless Dirac fermion subbands coupled by spin-orbit interaction. Such a system may be formed by edge subbands in…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 V. V. Enaldiev

Plasmons are the quantized collective oscillations of electrons in metals and doped semiconductors. The plasmons of ordinary, massive electrons are since a long time basic ingredients of research in plasmonics and in optical metamaterials.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 P. Di Pietro , M. Ortolani , O. Limaj , A. Di Gaspare , V. Giliberti , F. Giorgianni , M. Brahlek , N. Bansal , N. Koirala , S. Oh , P. Calvani , S. Lupi

We report the emergence of massless Dirac fermions in moir\'{e}-reconstructed bands of bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN). Magnetotransport measurements reveal that while the primary BLG band retains a…

Mesoscale and Nanoscale Physics · Physics 2026-03-19 Mohit Kumar Jat , Kenji Watanabe , Takashi Taniguchi , Aveek Bid

The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which e.g., underlies the theoretical description of graphene, is computed numerically. Although it belongs to, from a symmetry…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , Mikito Koshino , Shinsei Ryu

We show that in bilayer graphene it is possible to achieve a very restrictive confinement of the massless Dirac fermions zero-modes by using inhomogeneous magnetic fields. Specifically, we show that, using a suitable nonuniform magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-11-13 Lucas Sourrouille

We use supersymmetry transformations to obtain new one parameter family of inhomogeneous magnetic fields $\mathbf{B} = \widetilde{\mathcal{B}}(x,\lambda) \hat{e}_z$ for which the massless Dirac electron possesses exact solution. The…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Bikashkali Midya , David J Fernández

The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb…

Strongly Correlated Electrons · Physics 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

Charge carriers of graphene show neutrino-like linear energy dispersions as well as chiral behavior near the Dirac point. Here we report highly unusual and unexpected behaviors of these carriers in applied external periodic potentials,…

Materials Science · Physics 2008-03-04 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

A two-dimensional electron gas (2DEG) in SrTiO3 is created via modulation doping by interfacing undoped SrTiO3 with a wider-band-gap material, SrTi1-xZrxO3, that is doped n-type with La. All layers are grown using hybrid molecular beam…

Mesoscale and Nanoscale Physics · Physics 2013-11-05 Adam P. Kajdos , Daniel G. Ouellette , Tyler A. Cain , Susanne Stemmer

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

Motivated by the possibility of creating non-Abelian fields using cold atoms in optical lattices, we explore the richness and complexity of non-interacting two-dimensional electron gases (2DEGs) in a lattice, subjected to such fields. In…

Mesoscale and Nanoscale Physics · Physics 2008-04-17 Indubala I. Satija , Daniel C. Dakin , J. Y. Vaishnav , Charles W. Clark

We show how it is possible to trap two-dimensional massless Dirac fermions in spatially inhomogeneous magnetic fields, as long as the formed magnetic quantum dot (or ring) is of a slowly decaying nature. It is found that a modulation of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 C. A. Downing , M. E. Portnoi

This letter presents our findings on the recursive band gap engineering of chiral fermions in bilayer graphene doubly aligned with hBN. By utilizing two interfering moir\'{e} potentials, we generate a supermoir\'{e} pattern which…

We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main concern. We provide easily applicable criteria, mostly depending…

Mesoscale and Nanoscale Physics · Physics 2018-09-24 Marie Fialová , Vít Jakubský , Matěj Tušek

We develop a bosonization scheme for the collective dynamics of a spinless two-dimensional electron gas (2DEG) in the lowest Landau level. The system is treated as a continuous elastic medium, and quantum commutation relations are imposed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Conti , G. Vignale

Tunnelling density of states in the vicinity of Fermi level of a two-dimensional electron gas subjected to an external parallel and zeroth magnetic field is calculated. It reveals a pseudo-gap recently observed in the experiments. The gap…

Strongly Correlated Electrons · Physics 2015-06-24 V. Vyurkov , A. Vetrov , V. Ryzhii

Using angle-resolved photoemission spectroscopy (ARPES) and density functional theory (DFT) we study the electronic structure of layered BaZnBi$_2$. Our experimental results show no evidence of Dirac states in BaZnBi$_2$ originated either…

The discovery of graphene has stimulated enormous interest in two-dimensional (2D) electron gas with linear band structure. 2D Dirac materials possess many intriguing physical properties such as high carrier mobility and zero-energy Landau…

We report infrared studies of AFe$_{2}$As$_{2}$ (A = Ba, Sr), two representative parent compounds of iron-arsenide superconductors, at magnetic fields (B) up to 17.5 T. Optical transitions between Landau levels (LLs) were observed in the…