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Quantum electrodynamics predicts that heavy atoms ($Z > Z_c \approx 170$) will undergo the process of atomic collapse where electrons sink into the positron continuum and a new family of so-called collapsing states emerges. The relativistic…

Mesoscale and Nanoscale Physics · Physics 2017-11-07 Dean Moldovan , Massoud Ramezani Masir , Francois M. Peeters

The interplay between a magnetic field and the Coulomb potential from a charged vacancy on the electron states in graphene is investigated within the tight-binding model. The Coulomb potential removes locally Landau level degeneracy, while…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Jing Wang , Wen-Sheng Zhao , Yue Hu , R. N. Costa Filho , Francois M. Peeters

We study the symmetry classes of graphene quantum dots, both open and closed, through the conductance and energy level statistics. For abrupt termination of the lattice, these properties are well described by the standard orthogonal and…

Mesoscale and Nanoscale Physics · Physics 2009-02-09 J. Wurm , A. Rycerz , I. Adagideli , M. Wimmer , K. Richter , H. U. Baranger

A double moir\'e superlattice can be realized by stacking three layers of atomically thin two-dimensional materials with designer interlayer twisting or lattice mismatches. In this novel structure, atomic reconstruction of constituent…

Understanding the coupling of graphene with its local environment is critical to be able to integrate it in tomorrow's electronic devices. Here we show how the presence of a metallic substrate affects the properties of an atomically…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. M. Ugeda , D. Fernández-Torre , I. Brihuega , P. Pou , A. J. Martínez-Galera , R. Pérez , J. M. Gómez-Rodríguez

In order to investigate the interaction between single vacancies in a graphene sheet, we have used spin-polarized density functional theory (DFT). Two distinct configurations were considered, either with the two vacancies located in the…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Wanderla L. Scopel , Wendel S. Paz , Jair C. C. Freitas

We study the role of size effects on atomic collapse of charged impurity in the flat band system. The tight-binding simulations are made for the dice lattice with circular quantum dot shapes. It is shown that the mixing of in-gap edge…

Strongly Correlated Electrons · Physics 2023-09-06 D. O. Oriekhov , S. O. Voronov

In the present work, we investigate how structural defects in graphene can change its transport properties. In particular, we show that breaking of the sublattice symmetry in a graphene monolayer overcomes the Klein effect, leading to…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 C. Popovici , O. Oliveira , W. de Paula , T. Frederico

In graphene growth, island symmetry can become lower than the intrinsic symmetries of both graphene and the substrate. First-principles calculations and Monte Carlo modeling explain the shapes observed in our experiments and earlier studies…

Materials Science · Physics 2015-03-25 Vasilii I. Artyukhov , Yufeng Hao , Rodney S. Ruoff , Boris I. Yakobson

We propose that a multi-graphene of ABC-type stacking yields virtual bound states lying within the Coulomb insulating gap of an Anderson-like adatom. Wondrously, a virtual state constitutes the counterpart of the atomic collapse phenomenon…

Strongly Correlated Electrons · Physics 2023-12-13 W. C. Silva , J. E. Sanches , A. M. Freitas , L. T. Lustosa , M. de Souza , A. C. Seridonio

Inherent symmetries of a system lead to multiple degeneracies of its energy spectra. Introducing individual atomic impurities can locally break these symmetries, which is expected to lift the degenerate degrees of freedom around the…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yu Zhang , Qi-Qi Guo , Si-Yu Li , Lin He

The photon-like electronic dispersion of graphene bestows its charge carriers with unusual confinement properties that depend strongly on the geometry and strength of the surrounding potential. Here we report bottom-up synthesis of…

The functionality of atomic quantum emitters is intrinsically linked to their host lattice coordination. Structural distortions that spontaneously break the lattice symmetry strongly impact their optical emission properties and spin-photon…

We have investigated the effects of inplane and interplane nearest neighbour overlap integrals ($s_0$ and $s_1$) and site energy difference between atoms in two different sublattices in the same graphene layer ($\Delta$) on the electronic…

Materials Science · Physics 2009-07-27 Rupali Kundu

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

The hybridization of $\sigma$ and $\pi$ orbitals of carbon atoms in graphene depends on the surface curvature. Considering a single junction between flat and rippled graphene subsystems, it is found an accumulation of charge in the rippled…

Mesoscale and Nanoscale Physics · Physics 2019-11-19 M. Pudlak , R. G. Nazmitdinov

Graphene lacks an intrinsic band-gap, which limits its use in electronic applications. Here we demonstrate that periodic arrays of topological defects can open and control a band-gap in a predictable manner governed by defect spacing and…

When electrons populate a flat band their kinetic energy becomes negligible, forcing them to organize in exotic many-body states to minimize their Coulomb energy. The zeroth Landau level of graphene under magnetic field is a particularly…

Measuring degeneracy and broken-symmetry states of a system at nanoscale requires extremely high energy and spatial resolution, which has so far eluded direct observation. Here, we realize measurement of the degeneracy and subtle…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Si-Yu Li , Ya-Ning Ren , Yi-Wen Liu , Ming-Xing Chen , Hua Jiang , Lin He

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

Disordered Systems and Neural Networks · Physics 2026-04-10 Oleg Evnin