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We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

Two-dimensional Graphene is fascinating because of its unique electronic properties. From a fundamental perspective, one among them is the geometric phase structure near the Dirac points in the Brillouin zone, owing to the SU(2) nature of…

Strongly Correlated Electrons · Physics 2020-07-23 Ankur Das , Sumiran Pujari

The topology of isoenergetic surfaces in reciprocal space for simple (sc), body-centered (bcc), and face-centered (fcc) cubic lattices is investigated in detail in the tight-binding approximation, taking into account the transfer integrals…

Strongly Correlated Electrons · Physics 2022-02-07 P. A. Igoshev , V. Yu. Irkhin

The fate of the charge-neutral Dirac point in graphene in a high magnetic field $H$ has been investigated at low temperatures ($T\sim$ 0.3 K). In samples with small $V_0$ (the gate voltage needed to access the Dirac point), the resistance…

Mesoscale and Nanoscale Physics · Physics 2008-05-21 Joseph G. Checkelsky , Lu Li , N. P. Ong

Largely motivated by a number of applications, the van der Waals dispersion coefficients ($C_3$s) of the alkali ions (Li$^+$, Na$^+$, K$^+$ and Rb$^+$), the alkaline-earth ions (Ca$^+$, Sr$^+$, Ba$^+$ and Ra$^+$) and the inert gas atoms…

Atomic Physics · Physics 2015-09-16 Kiranpreet Kaur , Bindiya Arora , B. K. Sahoo

We review all symmetry-allowed spin-singlet and spin-triplet superconducting (SC) order parameters in graphene ($s$-wave, $d$-wave, $p$-wave, and $f$-wave) generated by generic onsite, nearest-neighbor (NN), and next-to-nearest-neighbor…

The relativistic nature of Dirac electrons and holes in graphene profoundly affects the way they interact with impurities. Signatures of the relativistic behavior have been observed recently in scanning tunneling measurements on individual…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

We study the localization properties of the wavefunctions in graphene flakes with short range disorder, via the numerical calculation of the Inverse Participation Ratio($IPR$) and it scaling which provides the fractal dimension $D_{2}$. We…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Ioannis Kleftogiannis , Ilias Amanatidis

A ballistic strip of graphene (width W>> length L) connecting two normal metal contacts is known to have a minimum conductivity of 4e^{2}/pi h at the Dirac point of charge neutrality. We calculate what happens if one of the two contacts…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

In twisted h-BN/graphene heterostructures, the complex electronic properties of the fast-traveling electron gas in graphene are usually considered to be fully revealed. However, the randomly twisted heterostructures may also have unexpected…

We present a two-band model based on periodic H\"uckel theory, which is capable of predicting the existence and position of Dirac cones in the first Brillouin zone of an infinite class of two-dimensional periodic carbon networks, obtained…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 Willem Van den Heuvel , Alessandro Soncini

We study localization properties of two-dimensional Dirac fermions subject to a power-law-correlated random vector potential describing, e.g., the effect of "ripples" in graphene. By using a variety of techniques (low-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. V. Khveshchenko

The extreme versatility of two-dimensional van der Waals (vdW) materials derives from their ability to exhibit new electronic properties when assembled in proximity with dissimilar crystals. For example, although graphene is inherently…

Hybridization of highly itinerant Dirac electrons with localized flat-band states is predicted to yield emergent phenomena such as exotic heavy-fermion behaviour. Epitaxial graphene on two-dimensional adsorbate structures on SiC(0001),…

We demonstrate that charge density wave (CDW) phase transition occurs on the surface of electronically doped multilayer graphene when the Fermi level approaches the M points (also known as van Hove singularities where the density of states…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Gen Long , Shuigang Xu , Ting Zhang , Zefei Wu , Wing Ki Wong , Tianyi Han , Jiangxiazi Lin , Yuan Cai , Ning Wang

We study quasiparticle dynamics in graphene exposed to a linearly-polarized electromagnetic wave of very large intensity. Low-energy transport in such system can be described by an effective time-independent Hamiltonian, characterized by…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 S. V. Syzranov , Ya. I. Rodionov , K. I. Kugel , F. Nori

The calculated results of FeCl3 graphite intercalation compounds show the detailed features. The stage-1 FeCl3-graphite intercalation compounds present diversified electronic properties due to the intercalant. The first-principles…

Materials Science · Physics 2021-01-01 Li Wei-Bang , Lin Shih-Yang , Tsai Ming-Shuei , Lin Ming-Fa , Lin Kuang-I

Random fluctuations of the shot-noise power in disordered graphene nanoribbons are studied. In particular, we calculate the distribution of the shot noise of nanoribbons with zigzag and armchair edge terminations. We show that the shot…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Victor A. Gopar

We present a simple group theory explanation of the fact that the energy bands merge in the corners of the Brillouin zone for graphene and for two particular cases of Kagome lattice for arbitrary tight--binding Hamiltonian. We connect the…

Mesoscale and Nanoscale Physics · Physics 2012-02-13 E. Kogan

Strain qualitatively changes the low-energy band structure of bilayer graphene, leading to the appearance of a pair of low-energy Dirac cones near each corner of the Brillouin zone, and a Lifshitz transition, (a saddle point in the…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Diana A. Gradinar , Henning Schomerus , Vladimir I. Fal'ko