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Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

介观与纳米尺度物理 · 物理学 2011-11-10 D. S. Novikov

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

介观与纳米尺度物理 · 物理学 2023-02-23 Debasmita Giri , Arijit Kundu

We show that multiple layered Dirac cones can emerge in the band structure of properly addressed multicomponent cold fermionic gases in optical lattices. The layered Dirac cones contain multiple copies of massless spin-1/2 Dirac fermions at…

量子物理 · 物理学 2012-01-04 Z. Lan , A. Celi , W. Lu , P. Ohberg , M. Lewenstein

This paper aims to theoretically analyze the behavior of Dirac fermions in tilted Dirac cone material, particularly those that have diffused a barrier potential.Our results show that the degree of tilt in the y-direction can lead to…

We consider the vortex state of d-wave superconductors in the clean limit. Within the linearized approximation the quasiparticle bands obtained are found to posess Dirac cone dispersion (band touchings) at special points in the Brillouin…

超导电性 · 物理学 2009-11-07 Ashvin Vishwanath

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

材料科学 · 物理学 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

The paper presents a novel analysis of Floquet-Bloch flexural waves in a periodic lattice-like structure consisting of flexural beam ligaments. A special feature of this structure is in the presence of the rotational inertia, which is…

材料科学 · 物理学 2017-01-10 A. Piccolroaz , A. B. Movchan , L. Cabras

We consider a superlattice formed by tunnel-connected identical holes, periodically placed in a two-dimensional topological insulator. We study tunneling transport through helical edges of these holes and demonstrate that the band structure…

介观与纳米尺度物理 · 物理学 2023-11-21 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of…

介观与纳米尺度物理 · 物理学 2023-06-29 A. De Martino , L. Dell'Anna , L. Handt , A. Miserocchi , R. Egger

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of…

In topological semimetals, nodes appear at symmetry points in the Brillouin zone as a result of band inversion, and yield quasi-relativistic massless fermions at low energies. Cd3As2 is a three-dimensional topological semimetal that hosts…

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

介观与纳米尺度物理 · 物理学 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from a honeycomb lattice of obstacles attaining…

数学物理 · 物理学 2024-05-08 Wei Li , Junshan Lin , Jiayu Qiu , Hai Zhang

Recent progress in topological insulators and topological phases of matter has motivated new methods for the localization of waves in photonic structures. Especially, it is established that a Dirac point of a periodic structure can…

数学物理 · 物理学 2025-05-27 Jiayu Qiu , Hai Zhang

We study theoretically "graphene-like" plasmonic metamaterials constituted by two-dimensional arrays of metallic nanoparticles, including perfect honeycomb structures with and without inversion symmetry, as well as generic bipartite…

介观与纳米尺度物理 · 物理学 2015-02-16 Thomas Jebb Sturges , Claire Woollacott , Guillaume Weick , Eros Mariani

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…

材料科学 · 物理学 2021-07-07 Anna Pertsova , Peter Johnson , Daniel P. Arovas , Alexander V. Balatsky

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission…

其他凝聚态物理 · 物理学 2012-02-09 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator,…

强关联电子 · 物理学 2018-11-21 Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

The manipulation and movement of Dirac points in the Brillouin zone by the electron-electron interaction is considered within leading order perturbation theory. At the merging point, an infinitesimal interaction is shown to cause opening of…

强关联电子 · 物理学 2013-08-16 Balázs Dóra , Igor F. Herbut , Roderich Moessner

We study theoretically the dispersion of plasmonic honeycomb lattices and find Dirac spectra for both dipole and quadrupole modes. Zigzag edge states derived from Dirac points are found in ribbons of these honeycomb plasmonic lattices. The…

材料科学 · 物理学 2009-03-28 Dezhuan Han , Yun Lai , Jian Zi , Zhao-Qing Zhang , C. T. Chan