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Bilayer graphene is a highly promising material for electronic and optoelectronic applications since it is supporting massive Dirac fermions with a tuneable band gap. However, no consistent picture of the gap's effect on the optical and…

Silicene, a sheet of silicon atoms in a honeycomb lattice, was proposed to be a new Dirac-type electron system similar as graphene. We performed scanning tunneling microscopy and spectroscopy studies on the atomic and electronic properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Lan Chen , Cheng-Cheng Liu , Baojie Feng , Xiaoyue He , Peng Cheng , Zijing Ding , Sheng Meng , Yugui Yao , Kehui Wu

We study alpha, beta, and gamma graphyne, a class of graphene allotropes with carbon triple bonds, using a first-principles density-functional method and tight-binding calculation. We find that graphyne has versatile Dirac cones and it is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Bog G. Kim , Hyoung Joon Choi

Superconducting proximity effects in graphene have received a great deal of attention for over a decade now. This has unveiled a plethora of exotic effects linked to the specificities of graphene's electronic properties. The vast majority…

Strongly Correlated Electrons · Physics 2022-06-14 D. Perconte , D. Bercioux , B. Dlubak , P. Seneor , F. S. Bergeret , J. E. Villegas

Graphene quantum dots provide a platform for manipulating electron behaviors in two-dimensional (2D) Dirac materials. Most previous works were of the "forward" type in that the objective was to solve various confinement, transport and…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Chen-Di Han , Ying-Cheng Lai

Two-dimensional (2D) materials, composed of single atomic layers, have attracted vast research interest since the breakthrough discovery of graphene. One major benefit of such systems is the simple ability to tune the chemical potential by…

Superconductivity · Physics 2020-10-01 Gopi Nath Daptary , Eyal Walach , Efrat Shimshoni , Aviad Frydman

In a vicinity of the Fermi surface, graphene layers with bandgaps allow for closely simulating the vacuum of quantum electrodynamics and, thus, its yet unverified strong-field phenomenology with accessible field strengths. This striking…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Ibrahim Akal , Reinhold Egger , Carsten Müller , Selym Villalba-Chávez

We generalize a proposal by Sorensen et al. [Phys. Rev. Lett. 94, 086803 (2005)] for creating an artificial magnetic field in a cold atom system on a square optical lattice. This leads us to an effective lattice model with tunable spatially…

Quantum Gases · Physics 2018-12-13 Malcolm P. Kennett , Nazanin Komeilizadeh , Kamran Kaveh , Peter M. Smith

We investigate the emergence of extra Dirac points in the electronic structure of a periodically spaced barrier system, i.e., a superlattice, on single-layer graphene, using a Dirac-type Hamiltonian. Using square barriers allows us to find…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Barbier , P. Vasilopoulos , F. M. Peeters

In the present work, we give a phenomenological theory of the monolayer graphene where two worlds quantum and classical meet together and complete each other in the most natural way. It appears that the graphene is the unique material where…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 V. Apinyan , M. Sahakyan

We demonstrate the topological properties of the band-gap of armchair graphene nanoribbons in a spatially varying staggered sublattice potential. Several general scaling laws are presented to quantify the band gap variation. It is found…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 T. E. O'Brien , Chao Zhang , Anthony R. Wright

Electron supercollimation, in which a wavepacket is guided to move undistorted along a selected direction, is a highly desirable property that has yet been realized experimentally. Disorder in general is expected to inhibit…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 SangKook Choi , Cheol-Hwan Park , Steven G. Louie

Fabrication of graphene structures has triggered vast research efforts focused on the properties of two-dimensional systems with massless Dirac fermions. Nevertheless, further progress in exploring this quantum electrodynamics system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-10 P. Neugebauer , M. Orlita , C. Faugeras , A. -L. Barra , M. Potemski

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

We prove that the two-dimensional Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities (Dirac points) at the vertices of its Brillouin zone. No assumptions…

Mathematical Physics · Physics 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

The recent discovery of graphene has sparked significant interest, which has so far been focused on the peculiar electronic structure of this material, in which charge carriers mimic massless relativistic particle. However, the structure of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jannik C. Meyer , A. K. Geim , M. I. Katsnelson , K. S. Novoselov , T. J. Booth , S. Roth

The optical properties of graphene are made unique by the linear band structure and the vanishing density of states at the Dirac point. It has been proposed that even in the absence of a semiconducting bandgap, a relaxation bottleneck at…

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schaefer

We simulate boron on Pb(110) surface by using ab initio evolutionary methodology. Interestingly, the two-dimensional (2D) Dirac Pmmn boron can be formed because of good lattice matching. Unexpectedly, by increasing the thickness of 2D…

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

Mathematical Physics · Physics 2024-05-22 Solomon Quinn , Guillaume Bal