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We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight binding calculations we show that perfect armchair edges give rise to equidistant peaks in the focusing spectrum. In the…

Mesoscale and Nanoscale Physics · Physics 2010-03-22 Peter Rakyta , Andor Kormanyos , Jozsef Cserti , Pekka Koskinen

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

Low-energy electronic behavior in graphite crystals is highly dependent on the relative stacking arrangement of the constituent layers. Topologically non-trivial electronic states can arise due to interrupted rhombohedral (ABC) stacking,…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Luke Soneji , Simon Crampin , Marcin Mucha-Kruczynski

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

A theoretical study of the electronic properties of nanodisks and nanocones is presented within the framework of a tight-binding scheme. The electronic densities of states and absorption coefficients are calculated for such structures with…

Mesoscale and Nanoscale Physics · Physics 2013-02-27 P. Ulloa , M. Pacheco , L. E. Oliveira , A. Latge

We study topological bound states in quantum dots defined by an electric field in bilayer graphene. An external field is perpendicular to the bilayer and changes sign in a finite region that defines the quantum dot. The electric field opens…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Wlodzimierz Jaskolski

We theoretically investigate the electronic and magneto-optical properties of rectangular, hexangular, and triangular monolayer phosphorene quantum dots (MPQDs) utilizing the tight-binding method. The electronic states, density of states,…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 Rui Zhang , X. Y. Zhou , D. Zhang , W. K. Lou , F. Zhai , Kai Chang

We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It…

Mesoscale and Nanoscale Physics · Physics 2008-01-16 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , A. H. Castro Neto , F. Guinea

Electronic correlation effects are manifested in quantum materials when either the onsite Coulomb repulsion is large or the electron kinetic energy is small. The former is the dominant effect in the cuprate superconductors or heavy fermion…

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

Model lattices such as the kagome and Lieb lattices have been widely investigated to elucidate the properties of interacting flat-band systems. While a quasicrystal does not have proper bands, the non-interacting density of states of…

Strongly Correlated Electrons · Physics 2025-08-28 Yuxi Zhang , Richard T. Scalettar , Rafael M. Fernandes

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

The flat band of edge states which occur in the simple tight-binding lattice model of graphene with a zig-zag edge have long been conjectured to take up a ferromagnetic configuration. In this work we demonstrate that, for a large class of…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Gordon W. Semenoff

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

Electronic structure of graphene monolayer-bilayer junction in a magnetic field is studied within an effective-mass approximation. The energy spectrum is characterized by interface Landau levels, i.e., the locally flat bands appearing near…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Mikito Koshino , Takeshi Nakanishi , Tsuneya Ando

The density of electronic one-particle states in monolayer graphene is studied by performing the Hybrid Monte-Carlo simulations of the tight-binding model for electrons on the pi orbitals of carbon atoms which make up the graphene lattice.…

Strongly Correlated Electrons · Physics 2013-07-01 P. V. Buividovich

The evolution of electronic structure of graphene nanoribbons (GNRs) as a function of the number of layers stacked together is investigated using \textit{ab initio} density functional theory (DFT) including interlayer van der Waals…

Materials Science · Physics 2011-10-28 Neerav Kharche , Yu Zhou , Kevin P. O'Brien , Swastik Kar , Saroj K. Nayak

We study the properties of flat-bands that appear in a heterostructure composed of strands of different widths of graphene armchair nanoribbons. One of the flat-bands is reminiscent of the one that appears in pristine armchair nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 P. A. Almeida , L. S. Sousa , Tome M. Schmidt , G. B. Martins

Using the tight-binding approximation we calculated the magnetic susceptibility of graphene quantum dots (GQD) of different geometrical shapes and sizes, smaller than the magnetic length, when the magnetic properties are governed by the…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 T. Espinosa-Ortega , I. A. Luk'yanchuk , Y. G. Rubo
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