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Spin-1/2 particles such as the electron are described by the Dirac equation, which allows for two spin eigenvalues (up or down) and two types of energy eigenvalues (positive or negative, corresponding to the electron and the positron). A…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Matthew Mecklenburg , B. C. Regan

Due to its exceptional electronic and thermal properties, graphene is a key material for bolometry, calorimetry, and photon detection. However, despite graphene's relatively simple electronic structure, the physical processes responsible…

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics. In particular, it represents an ideal…

Mathematical Physics · Physics 2025-05-16 William Borrelli , Umberto Morellini

Graphene, a single sheet of graphite with honeycomb lattice structure, has massless carriers with tunable density and polarity. We investigate the ground state phase diagram of two graphene sheets (embedded in a dielectric) separated by…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

Graphene, made of sp2 hybridized carbon, is characterized with a Dirac band, representative of its underlying 2D hexagonal lattice. Fundamental understanding of graphene has recently spurred a surge of searching for 2D topological quantum…

Materials Science · Physics 2015-06-23 Miao Zhou , Zheng Liu , Wenmei Ming , Zhengfei Wang , Feng Liu

A density-functional approach on the hexagonal graphene lattice is developed using an exact numerical solution to the Hubbard model as the reference system. Both nearest-neighbour and up to third nearest-neighbour hoppings are considered…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Ijäs , A. Harju

The magnetic field-dependent longitudinal and Hall components of the resistivity rho_xx(H) and rho_xy(H) are measured in graphene on silicon dioxide substrates at temperatures from 1.6 K to room temperature. At charge densities near the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sungjae Cho , Michael S. Fuhrer

Hexagonal boron nitride is the only substrate that has so far allowed graphene devices exhibiting micron-scale ballistic transport. Can other atomically flat crystals be used as substrates for making quality graphene heterostructures? Here…

Raman spectroscopy plays a key role in studies of graphene and related carbon systems. Graphene is perhaps the most promising material of recent times for many novel applications, including electronics. In this paper, the traditional and…

Materials Science · Physics 2015-12-07 Eric J. Heller , Yuan Yang , Lucas Kocia , Wei Chen , Shiang Fang , Mario Borunda , Efthimios Kaxiras

Electronic and transport properties of Graphene, a one-atom thick crystalline material, are sensitive to the presence of atoms adsorbed on its surface. An ensemble of randomly positioned adatoms, each serving as a scattering center, leads…

Materials Science · Physics 2015-05-13 V. V. Cheianov , V. I. Fal'ko , O. Syljuasen , B. L. Altshuler

Each single hydrogen vacancy created at the surface of graphane gives rise to a local unpaired spin. For domains of hydrogen vacancies the situation is, however complex and depends on the size and geometry of domains, as well as whether the…

Materials Science · Physics 2010-05-20 Hasan Sahin , Can Ataca , Salim Ciraci

The effective mass approximation is analysed in a nonperturbative kinetic theory approach to strong field excitations in graphene [1,2]. This problem is highly actual for the investigation of quantum radiation from graphene [3], where the…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 D. B. Blaschke , V. V. Dmitriev , N. T. Gevorgyan , B. Mahato , A. D. Panferov , S. A. Smolyansky , V. A. Tseryupa

Density functional theory has been used to study the adsorption of molecular H2 on a graphene layer. Different adsorption sites on top of atoms, bonds and the center of carbon hexagons have been considered and compared. We conclude that the…

Chemical Physics · Physics 2009-11-06 J. S. Arellano , L. M. Molina , A. Rubio , J. A. Alonso

We investigate interlayer adhesion and relaxation at interfaces between graphene and hexagonal boron nitride (hBN) monolayers in van der Waals heterostructures. The adhesion potential between graphene and hBN is calculated as a function of…

The contact strength, adhesion and friction, between graphene and an incommensurate crystalline substrate such as {\it h}-BN depends on their relative alignment angle $\theta$. The well established Novaco-McTague (NM) theory predicts for a…

Materials Science · Physics 2017-05-29 Roberto Guerra , Merel van Wijk , Andrea Vanossi , Annalisa Fasolino , Erio Tosatti

Recent progress in preparing well controlled 2D van der Waals heterojunctions has opened up a new frontier in materials physics. In this paper we address the intriguing energy gaps that are sometimes observed when a graphene sheet is placed…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Jeil Jung , Ashley DaSilva , Allan H. MacDonald , Shaffique Adam

The most popular way to produce graphene nowadays is chemical vapor deposition, where, surprisingly, H$_2$ gas is routinely supplied even though it is a byproduct itself. In this study, by identifying dominant growing pathways via…

Materials Science · Physics 2017-11-28 Pai Li , Zhenyu Li , Jinlong Yang