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It is demonstrated that in a two--band 2D system the resonance state is manifested close to the energy of the Dirac point in the electron spectrum for the sufficiently large impurity perturbation. With increasing the impurity concentration,…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yu. V. Skrypnyk , V. M. Loktev

By using the self-consistent Born approximation, we investigate disorder effect induced by the short-range impurities on the band-gap in two-dimensional Dirac systems with the higher order terms in momentum. Starting from the…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Sergey S. Krishtopenko , Mauro Antezza , Frédéric Teppe

We investigate nonmagnetic impurity effects in two-band superconductors, focusing on the effects of interband scatterings. Within the Born approximation, it is known that interband scatterings mix order parameters in the two bands. In…

Superconductivity · Physics 2015-06-24 Yoji Ohashi

We investigate how a combination of a nonmagnetic-impurity scattering rate $\gamma$ and finite subgap states parametrized by Dynes $\Gamma$ affects various physical quantities relevant to to superconducting devices: kinetic inductance…

Superconductivity · Physics 2022-01-19 Takayuki Kubo

Bragg scattering in periodic media generates band gaps, frequency bands where waves attenuate rather than propagate. Yet, a finite periodic structure may exhibit resonance frequencies within these band gaps. This is caused by boundary…

Classical Physics · Physics 2023-12-19 Mary V. Bastawrous , Mahmoud I. Hussein

The importance of the spectral density of the Dirac operator in studying spontaneous chiral symmetry breaking and anomalous U(1) axial symmetry breaking are reviewed. It is shown that both types of symmetry breaking can be traced to effects…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen

Bound states in the continuum (BICs) arise from destructive interference suppressing radiation despite spectral overlap with the continuum. Here we show that Friedrich--Wintgen interference naturally emerges from a bright--dark supermode…

Optics · Physics 2026-05-13 Sergio Balestrieri , Bruno Miranda , Silvia Romano , Gianluigi Zito

Hydrogen adsorption on graphene in commensurate periodic arrangements leads to bandgap opening at the Dirac point and the emergence of dispersionless midgap bands. We study these bandgap effects and their dependence on periodicity for a…

Mesoscale and Nanoscale Physics · Physics 2012-05-15 Mahboobeh Mirzadeh , Mani Farjam

The concepts, which have traditionally been useful in understanding the effects of the electron--phonon interaction in optical spectroscopy, are based on insights obtained within the infinite electronic band approximation and no longer…

Materials Science · Physics 2009-11-11 Anton Knigavko , J. P. Carbotte

Motivated by the surface of topological insulators, the Dirac anomaly's discontinuous dependence on sign of the mass, $m/|m|$, is investigated on closed topologies when mass terms are weak or only partially cover the surface. It is found…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 Alexander Selem

In the theoretical analyses of impurity effects in superconductors the assumption is usually made that all quantities, except for the Green functions, are slowly varying functions of energy. When this so-called Fermi Surface Restricted…

Superconductivity · Physics 2007-05-23 C. T. Rieck , K. Scharnberg , S. Scheffler

Unconventional features in superconductivity are revealed by responses to impurity scattering. We study non-magnetic impurity effects in a three-dimensional topological superconductor, focusing on an effective model (massive Dirac…

Superconductivity · Physics 2014-11-06 Yuki Nagai , Yukihiro Ota , Masahiko Machida

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

One-dimensional topological edge modes are usually studied considering the interface between two different semi infinite periodic crystals (PCs) with inverted band structure around the Dirac point. Here we consider the case where the two…

In this work we investigate the confining properties of charged particles of a Dirac material in the plane subject to an electrostatic potential well, that is, in an electric quantum dot. Our study focuses on the effect of mass and angular…

Quantum Physics · Physics 2025-09-17 S. Kuru , J. Negro , L. M. Nieto , L. Sourrouille

We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon. These…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Sam R Dolan , David Dempsey

We suggest the tried approach of impurity band engineering to produce flat bands and additional nodes in Dirac materials. We show that surface impurities give rise to nearly flat impurity bands close to the Dirac point. The hybridization of…

Materials Science · Physics 2021-07-07 Anna Pertsova , Peter Johnson , Daniel P. Arovas , Alexander V. Balatsky

High-harmonic generation in solids by intense laser pulses provides a fascinating platform for studying material properties and ultra-fast electron dynamics, where its coherent character is a central aspect. Using the semiconductor Bloch…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Wolfgang Hogger , Alexander Riedel , Debadrito Roy , Angelika Knothe , Cosimo Gorini , Juan-Diego Urbina , Klaus Richter

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

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei
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