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We have developed an analytical formulation to calculate the plasmon dispersion relation for a two-dimensional layer which is encapsulated within a narrow spatial gap between two bulk half-space plasmas. This is based on a solution of the…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Godfrey Gumbs , Norman J. M. Horing , Andrii Iurov , Dipendra Dahal

The theory of graphons has proven to be a powerful tool in many areas of graph theory. In this paper, we introduce several foundational aspects of the theory of digraphons -- asymmetric two-variable functions that arise as limits of…

Combinatorics · Mathematics 2025-12-16 Jan Hladký , Petr Savický

Quantum confinement endows two-dimensional (2D) layered materials with exceptional physics and novel properties compared to their bulk counterparts. Although certain two- and few-layer configurations of graphene have been realized and…

The effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

Electron devices based on graphene have lately received a considerable interest; in fact, they could represent the ultimate miniaturization, since the active area is only one atom tick. However, the gapless dispersion relation of graphene…

Mathematical Physics · Physics 2025-12-04 Giovanni Nastasi , Vittorio Romano

We obtained numerical and closed-form analytic expressions for finite-temperature plasmon dispersion relations for intrinsic graphene in the presence of a finite energy gap in the energy spectrum. The calculations were carried out using the…

Mesoscale and Nanoscale Physics · Physics 2015-04-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. Silkin

We investigate the graphene-impurity interaction problem by combining experimental - scanning tunneling microscopy (STM) and spectroscopy (STS) - and theoretical - Anderson impurity model and density functional theory (DFT) calculations -…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 F. Hiebel , P. Mallet , J. -Y. Veuillen , L. Magaud

Recent advances in experimental techniques emphasize the usefulness of multiple scanning probe techniques when analyzing nanoscale samples. Here, we analyze theoretically dual-probe setups with probe separations in the nanometer range,…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Mikkel Settnes , Stephen R. Power , Dirch H. Petersen , Antti-Pekka Jauho

We assessed the efficiencies of surface plasmon excitation by an aloof-scattered electron beam on metals and graphene. Graphene is shown to exhibit high energy transfer efficiencies at very low electron kinetic energy requirements. We show…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Kelvin J. A. Ooi , Wee Shing Koh , Hong Son Chu , Dawn T. H. Tan , L. K. Ang

We present a method based on graph theory for evaluation of the inelastic propensity rules for molecules exhibiting complete destructive quantum interference in their elastic transmission. The method uses an extended adjacency matrix…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 Rudolf Sýkora , Tomáš Novotný

The generalized self-consistent field method is used to describe intraband relaxation processes in a general multiband electronic system with presumably weak residual electron-electron interactions. The resulting memory-function…

Mesoscale and Nanoscale Physics · Physics 2017-01-30 I. Kupcic

We present a theoretical study of indirect exchange interaction between magnetic adatoms in graphene. The coupling between the adatoms to a graphene sheet is described in the framework of tunneling Hamiltonian. We account for the…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Igor Krainov , Igor Rozhansky , Nikita Averkiev , Erkki Lahderanta

We extend the recently proposed thermally-assisted-occupation density functional theory (TAO-DFT) [J.-D. Chai, J. Chem. Phys. 136, 154104 (2012)] to generalized-gradient approximation (GGA) exchange-correlation density functionals. Relative…

Chemical Physics · Physics 2015-06-18 Jeng-Da Chai

Starting from an atomistic approach we have derived a hierarchy of successively more simplified continuum elasticity descriptions for modeling the mechanical properties of suspended graphene sheets. The descriptions are validated by…

Other Condensed Matter · Physics 2015-05-13 Juan Atalaya , Andreas Isacsson , Jari M. Kinaret

Adatom-decorated graphene offers a promising new path towards spintronics in the ultrathin limit. We combine experiment and theory to investigate the electronic properties of dilutely fluorinated bilayer graphene, where the fluorine adatoms…

Mesoscale and Nanoscale Physics · Physics 2015-10-07 Adam A. Stabile , Aires Ferreira , Jing Li , N. M. R. Peres , J. Zhu

A comprehensive theory is presented for the voltage, temperature, and spatial dependence of the tunneling current between a scanning tunneling microscope (STM) tip and a metallic surface with an individual magnetic adatom. Modeling the…

Strongly Correlated Electrons · Physics 2009-10-31 Avraham Schiller , Selman Hershfield

We study electromagnetic scattering and subsequent plasmonic excitations in periodic grids of graphene ribbons. To address this problem, we develop an analytical method to describe the plasmon-assisted absorption of electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 P. A. D. Gonçalves , E. J. C. Dias , Yu. V. Bludov , N. M. R. Peres

Understanding the dynamics of excitons in two dimensional semiconductors requires a theory that incorporates the essential physics distinct from their three-dimensional counterparts. In addition to the modified dielectric environment,…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Pengke Li , Ian Appelbaum

The novel graphene allotropes $\alpha$-, $\beta$-, and $\gamma$-graphyne derive from graphene by insertion of acetylenic groups. The three graphynes are the only members of the graphyne family with the same hexagonal symmetry as graphene…

Mesoscale and Nanoscale Physics · Physics 2013-08-28 Valentin N. Popov , Philippe Lambin

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma