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In the framework of dielectric theory the static non-local self-energy of an electron near an ultra-thin polarizable layer has been calculated and applied to study binding energies of image-states near free-standing graphene. The…

Materials Science · Physics 2014-03-04 P. L. de Andres , P. M. Echenique , D. Niesner , Th. Fauster , A. Rivacoba

The formation of image-potential states at the interface between a graphene layer and a metal surface is studied by means of model calculations. An analytical one-dimensional model-potential for the combined system is constructed and used…

Mesoscale and Nanoscale Physics · Physics 2016-06-23 N. Armbrust , J. Güdde , U. Höfer

We evaluate the electronic self-energy Sigma(E) at an Al(111) surface using the GW space-time method. This self-energy automatically includes the image potential V_{im} not present in any local-density approximation for exchange and…

Materials Science · Physics 2009-10-30 I. D. White , R. W. Godby , M. M. Rieger , R. J. Needs

We present several applications of the layered electron gas model to electron energy loss spectroscopy of free-standing films consisting of $N$ graphene layers in a scanning transmission electron microscope. Using a two-fluid model for the…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 V. Borka Jovanović , I. Radović , D. Borka , Z. L. Mišković

Free electron like image potential states are observed in scanning tunneling spectroscopy on graphene quantum dots on Ir(111) acting as potential wells. The spectrum strongly depends on the size of the nanostructure as well as on the…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Fabian Craes , Sven Runte , Jürgen Klinkhammer , Marko Kralj , Thomas Michely , Carsten Busse

In present work we calculated the three components of polarization in phenomenological theory framework by consideration of three Euler-Lagrange equations, which include mismatch effect and influence of misfit dislocations, surface tension…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , A. N. Morozovska

In present work we calculated the three components of polarization in phenomenological theory framework by consideration of three Euler-Lagrange equations, which include mismatch effect and influence of misfit dislocations, surface…

Soft Condensed Matter · Physics 2015-06-25 M. D. Glinchuk , A. N. Morozovska , E. A. Eliseev

The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 M. V. Ioffe , D. N. Nishnianidze

Macroscopic properties of ferroelectric samples, including those in form of thin films, are, to large extent, influenced by their domain structure. In this paper the free energy is calculated for a plate-like sample composed of…

Materials Science · Physics 2007-05-23 A. Kopal , P. Mokry , J. Fousek , T. Bahnik

We explore the spatial variations of the unoccupied electronic states of graphene epitaxially grown on Ru(0001) and observed three unexpected features: the first graphene image state is split in energy, unlike all other image states, the…

We study the density of states in graphene at high magnetic field, when the physics is dominated by strong correlations between electrons. In particular we use the method of Haldane pseudopotentials to focus on almost empty or almost filled…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Lih-King Lim , M. O. Goerbig , Cristina Bena

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

In scenarios where electrons are confined to a flat surface, such as graphene, quantizing electrodynamics reveals intriguing insights. We find that one of Maxwell's equations manifests as part of the Hamiltonian, leading to novel…

Quantum Physics · Physics 2024-05-29 Ken-ichi Sasaki

We study electronic image states around a metallic nanoring and show that the interplay between the attractive polarization force and a repulsive centrifugal force gives rise to Rydberg-like image states trapped several nanometers away from…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Christian Fey , Henrik Jabusch , Johannes Knörzer , Peter Schmelcher

We study theoretically the energy and spatially resolved local density of states (LDoS) in graphene at high perpendicular magnetic field. For this purpose, we extend from the Schr\"odinger to the Dirac case a semicoherent-state…

Mesoscale and Nanoscale Physics · Physics 2010-07-23 Thierry Champel , Serge Florens

Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr{\"o}dinger equations,…

Mathematical Physics · Physics 2022-03-14 DJ Fernández , JD García-Muñoz

Using the quasiparticle self-consistent GW (QSGW) and local-density (LD) approximations, we calculate the q-dependent static dielectric function, and derive an effective 2D dielectric function corresponding to screening of point charges. In…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. van Schilfgaarde , M. I. Katsnelson

We theoretically explore mechanisms that can potentially give rise to the steady-state and transient negative capacitance in a uniaxial ferroelectric film stabilized by a dielectric layer. The analytical expressions for the steady-state…

Materials Science · Physics 2022-06-01 Eugene. A. Eliseev , Mykola E. Yelisieiev , Sergei V. Kalinin , Anna N. Morozovska

An exact calculation of the local electric field ${\bf E}({\bf r})$ is described for the case of a time dependent point electric dipole ${\bf p}e^{-i\omega t}$ in the top layer of an $\epsilon_2$, $\epsilon_1$, $\epsilon_2$ three parallel…

Optics · Physics 2016-03-22 Asaf Farhi , David J. Bergman

Thermodynamic theory is developed for the ferroelectric phase transition of an ultrathin film in equilibrium with a chemical environment that supplies ionic species to compensate its surface. Equations of state and free energy expressions…

Materials Science · Physics 2015-05-20 G. Brian Stephenson , Matthew J. Highland
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