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Optical properties of graphene are explored by using the generalized tight-binding model. The main features of spectral structures, the form, frequency, number and intensity, are greatly enriched by the complex relationship among the…

Computational Physics · Physics 2016-07-20 Chiun-Yan Lin , Thi-Nga Do , Yao-Kung Huang , Ming-Fa Lin

We propose a first principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero-band gap. Our theory confirms that near the K-point the dynamics of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Sylvain Lannebère , Mário G. Silveirinha

The recent experimental observations of designer Dirac Fermions and topological phases in molecular graphene are addressed theoretically. Using scattering theory we calculate the electronic structure of finite lattices of scattering centers…

Mesoscale and Nanoscale Physics · Physics 2013-12-18 H. Hammar , P. Berggren , J. Fransson

Pristine, single-crystalline graphene displays a unique collection of remarkable electronic properties that arise from its two-dimensional, honeycomb structure. Using in-situ low-energy electron microscopy, we show that when deposited on…

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

Recent theory has demonstrated that the value of the electron-phonon coupling strength $\lambda$ can be extracted directly from the thermal attenuation (Debye-Waller factor) of Helium atom scattering reflectivity. This theory is here…

Materials Science · Physics 2021-04-21 G. Benedek , J. R. Manson , S. Miret-Artés

Graphene has recently attracted a great deal of interest in both academia and industry because of its unique electronic and optical properties [1,2], as well as its chemical, thermal, and mechanical properties. The superb characteristics of…

Materials Science · Physics 2010-06-29 Mingsheng Xu , Daisuke Fujita , Keisuke Sagisaka , Eiichiro Watanabe , Nobutaka Hanagata

We present an investigation of the atomic and electronic structure of graphene monolayer islands on the 6H-SiC(000-1)(3x3) (SiC(3x3)) surface reconstruction using scanning tunneling microscopy (STM) and spectroscopy (STS). The orientation…

Materials Science · Physics 2010-01-04 F. Hiebel , P. Mallet , L. Magaud , J. -Y. Veuillen

Graphite is a well-studied material with known electronic and optical properties. Graphene, on the other hand, which is just one layer of carbon atoms arranged in a hexagonal lattice, has been studied theoretically for quite some time but…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 F. Molitor , D. Graf , C. Stampfer , T. Ihn , K. Ensslin

The electronic properties of a graphene sheet with attached hydrogen atoms is studied using a modified Falicov-Kimball model on the honeycomb lattice. It is shown that in the ground state this system separates into two phases: fully…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov , Franco Nori

Concise and powerful mathematical descriptions of the interplay of spin and charge degrees of degrees of freedom with crystal lattice fluctuations are of extreme importance in materials science. Such descriptions allow structured approaches…

Strongly Correlated Electrons · Physics 2020-11-18 Jamie M. Booth

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

When the phonon spectrum of a material is measured in a scattering experiment, selection rules preclude the observation of phonons that are odd under reflection by the scattering plane. Understanding these rules is crucial to correctly…

Mesoscale and Nanoscale Physics · Physics 2015-01-16 Fernando de Juan , Antonio Politano , Gennaro Chiarello , Herbert A. Fertig

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. Smotlacha , R. Pincak , M. Pudlak

We present the electronic band structures of states with the same symmetry as the three-sublattice planar antiferromagnetic order of the triangular lattice. Such states can also be defined on the honeycomb lattice provided the spin density…

Strongly Correlated Electrons · Physics 2018-08-15 Alex Thomson , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

Graphene is a single layer of carbon atoms arranged in a honeycomb lattice with remarkable mechanical and electrical properties. Regarded as the thinnest and narrowest conductive mesh, it has drastically different transmission behaviours…

Recently a stable monolayer of antimony in buckled honeycomb structure called antimonene was successfully grown on 3D topological insulator Bi$_2$Te$_3$ and Sb$_2$Te$_3$, which displays semiconducting properties. By first principle…

Materials Science · Physics 2017-03-22 Yuanfeng Xu , Bo Peng , Hao Zhang , Hezhu Shao , Rongjun Zhang , Hongliang Lu , David Wei Zhang , Heyuan Zhu

Graphene is the two-dimensional (2d) building block for carbon allotropes of every other dimensionality. It can be stacked into 3d graphite, rolled into 1d nanotubes, or wrapped into 0d fullerenes. Its recent discovery in free state has…