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An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We study the possibility of excitonic pairing in layered degenerate semimetals such as graphite, where the electron density of states almost vanishes at the Fermi level and, therefore, the Coulomb interactions remain essentially unscreened.…

Condensed Matter · Physics 2009-11-10 H. Leal , D. V. Khveshchenko

We formulate and solve the perhaps simplest two-body bound state problem for interacting Dirac fermions in two spatial dimensions. A two-body bound state is predicted for gapped graphene monolayers in the presence of weakly repulsive…

Mesoscale and Nanoscale Physics · Physics 2017-02-15 A. De Martino , R. Egger

We investigate the conductivity of doped graphene in the semiclassical Boltzmann limit, as well as the conductivity minimum within the self-consistent transport theory. Using the hard-disk model for a two-dimensional distribution of…

Materials Science · Physics 2013-11-21 Rastko Aničić , Zoran L. Mišković

In compensated two-component systems in confined, two-dimensional geometries, nonlocal response may appear due to external magnetic field. Within a phenomenological two-fluid framework, we demonstrate the evolution of charge flow profiles…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 S. Danz , M. Titov , B. N. Narozhny

We investigate the energy spectrum, wave functions, and local density of states of an electrical dipole placed on a sheet of gapped graphene as function of the charge strength Z{\alpha} for different sizes of the dipole and for different…

Mesoscale and Nanoscale Physics · Physics 2018-10-22 R. Van Pottelberge , B. Van Duppen , F. M. Peeters

The possibility of excitonic condensation in a recently proposed electrically biased double-layer graphene system is studied theoretically. The main emphasis is put on obtaining a reliable analytical estimate for the transition temperature…

Strongly Correlated Electrons · Physics 2012-08-29 Maxim Yu. Kharitonov , Konstantin B. Efetov

Kohn anomalies in three-dimensional metallic crystals are dips in the phonon dispersion that are caused by abrupt changes in the screening of the ion-cores by the surrounding electron-gas. These anomalies are also present at the…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 F. Forster , A. Molina-Sanchez , S. Engels , A. Epping , K. Watanabe , T. Taniguchi , L. Wirtz , C. Stampfer

We solve a nonlinear integral equation for the electrostatic potential in doped graphene due to an external charge, arising from a Thomas-Fermi (TF) model for screening by graphene's $\pi$ electron bands. In particular, we study the effects…

Mesoscale and Nanoscale Physics · Physics 2010-06-10 M. Ghaznavi , Z. L. Miskovic , F. O. Goodman

Excitons in atomically-thin semiconductors necessarily lie close to a surface, and therefore their properties are expected to be strongly influenced by the surrounding dielectric environment. However, systematic studies exploring this role…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Andreas V. Stier , Nathan P. Wilson , Genevieve Clark , Xiaodong Xu , Scott A. Crooker

By making use of the generalized Landau level representation (GLLR) for the quasiparticle propagator, we study the effect of screening on the properties of the quantum Hall states with integer filling factors in graphene. The analysis is…

Mesoscale and Nanoscale Physics · Physics 2016-01-29 Igor A. Shovkovy , Lifang Xia

We have studied the dielectric screening of electric field which is induced by a gate voltage in twisted double bilayer graphene by using a sample with a mismatch angle of about 5 degrees. In low temperature magnetotransport measurements,…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Fumiya Mukai , Kota Horii , Nazuna Hata , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Local electrical imaging using microwave impedance microscope is performed on graphene in different modalities, yielding a rich hierarchy of the local conductivity. The low-conductivity graphite oxide and its derivatives show significant…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Worasom Kundhikanjana , Keji Lai , Hailiang Wang , Hongjie Dai , Michael A. Kelly , Zhi-xun Shen

This article develops a consistent theory of free carrier screening of a two-dimensional electron gas in the silicon inversion layer in the presence of stacked layers of dielectric environment-commonly knows as gate stack in context of…

Mesoscale and Nanoscale Physics · Physics 2013-01-15 Aniruddha konar , Mohit Bajaj , Rajan K. Pandey , Ninad Sathaye , Murali V. Kota

We present a gating scheme to separate even strong parallel conductance from the magneto-transport signatures and properties of a two-dimensional electron system. By varying the electron density in the parallel conducting layer, we can…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Sebastian Peters , Lars Tiemann , Christian Reichl , Stefan Fält , Werner Dietsche , Werner Wegscheider

Some unusual properties of layered graphite, including a linear energy dependence of the quasiparticle damping and weak ferromagnetism at low doping, are explained as a result of the proximity of a single graphene sheet to the excitonic…

Condensed Matter · Physics 2009-11-07 D. V. Khveshchenko

We have used density functional theory to study the nonlinear screening properties of a two-dimensional (2D) electron gas. In particular, we consider the screening of an external static point charge of magnitude Z as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Zaremba , I. Nagy , P. M. Echenique

Graphene is a 2-dimensional (2D) carbon allotrope with the atoms arranged in a honeycomb lattice. The low-energy electronic excitations in this 2D crystal are described by massless Dirac fermions that have a linear dispersion relation…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Peter Rickhaus , Romain Maurand , Ming-Hao Liu , Markus Weiss , Klaus Richter , Christian Schönenberger

The advent of few-layer graphenes has given rise to a new family of two-dimensional systems with emergent electronic properties governed by relativistic quantum mechanics. The multiple carbon sublattices endow the electronic wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2012-12-12 L. C. Campos , A. F. Young , K. Surakitbovorn , K. Watanabe , T. Taniguchi , P. Jarillo-Herrero

We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction ($\sim…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Levente Máthé , Ioan Grosu
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