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Transition-metal dichalcogenides (TMDs) are renowned for their rich and varied properties. They range from metals and superconductors to strongly spin-orbit-coupled semiconductors and charge-density-wave systems, with their single-layer…

The band structure of iron-based superconductors gives rise to yet another scenario for the appearance of Dirac fermions. A viewpoint on "Observation of Dirac cone electronic dispersion in BaFe2As2" (Richard et.al., PRL 104, 137001 (2010)).

Superconductivity · Physics 2011-03-16 M. Zahid Hasan , B. Andrei Bernevig

It is a well-established fact that the physical properties of compounds follow their crystal symmetries. This has especially pronounced implications on emergent collective quantum states in materials. Specifically, the effect of crystal…

The 'double Dirac cone' 2D topological interface states found on the (001) faces of topological crystalline insulators such as Pb$_{1-x}$Sn$_{x}$Se feature degeneracies located away from time reversal invariant momenta, and are a…

We consider the Dirac cones and higher-order topological phases in quasi-continuous media of classical waves (e.g., photonic and sonic crystals). Using sonic crystals as prototype examples, we revisit some of the known systems in the study…

Materials Science · Physics 2022-04-06 Zhi-Kang Lin , Jian-Hua Jiang

We report on transport properties of the super-honeycomb lattice, the band structure of which possesses a flat band and Dirac cones, according to the tight-binding approximation. This super-honeycomb model combines the honeycomb lattice and…

Dirac fermions exist in many solid state systems including graphene, silicene and other two dimensional membranes such as are found in group VI dichalcogenides, as well as on the surface of some insulators where such states are protected by…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Zhou Li , J. P. Carbotte

It has been recently shown that in the Heisenberg (anti)ferromagnet on the honeycomb lattice, the magnons (spin wave quasipacticles) realize a massless two-dimensional (2D) Dirac-like Hamiltonian. It was shown that the Dirac magnon…

Strongly Correlated Electrons · Physics 2016-07-21 S. A. Owerre

While "Dirac cone" dispersions can only be meaningfully defined in two dimensional (2D) systems, the notion of a Dirac point can be extended to three dimensional (3D) classical wave systems. We show that a simple cubic photonic crystal…

Materials Science · Physics 2013-11-01 Xueqin Huang , Fengming Liu , C. T. Chan

The electronic structure of iron pnictides is topologically nontrivial, leading to the appearance of Dirac cones in the band structure for the antiferromagnetic phase. Motivated by the analogy with Dirac cones in graphene, we explore the…

Strongly Correlated Electrons · Physics 2014-08-08 Alexander Lau , Carsten Timm

After the discovery of Dirac fermions in graphene, it has become a natural question to ask whether it is possible to realize Dirac fermions in other two-dimensional (2D) materials as well. In this work, we report the discovery of multiple…

We propose two novel two-dimensional topological Dirac materials, planar PtN4C2 and Pt2N8C6, which exhibit graphene-like electronic structures with linearly dispersive Dirac-cone states exactly at the Fermi level. Moreover, the Dirac cone…

Materials Science · Physics 2022-07-20 Jingping Dong , Chuhan Wang , Xinlei Zhao , Miao Gao , Xun-Wang Yan , Fengjie Ma , Zhong-Yi Lu

The intriguing properties, especially Dirac physics in graphene, have inspired the pursuit of two-dimensional materials in honeycomb structure. Here we achieved a monolayer transition metal monochalcogenide AgTe on Ag(111) by tellurization…

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

It is shown that in the absence of spontaneous symmetry breaking the Dirac cones in the system of interacting electrons on honeycomb lattice are isotropic at low energies. The effect is due to the $Z_3$ subgroup of the $D_3$ symmetry group…

Mesoscale and Nanoscale Physics · Physics 2009-05-19 Igor F. Herbut

Dirac points in two-dimensional (2D) materials have been a fascinating subject of research, with graphene as the most prominent example. However, the Dirac points in existing 2D materials, including graphene, are vulnerable against…

Materials Science · Physics 2017-10-13 Shan Guan , Ying Liu , Zhi-Ming Yu , Shan-Shan Wang , Yugui Yao , Shengyuan A. Yang

The deposition of one silicon monolayer on Ag(111) gives rise to a set of superstructures depending on growth conditions. These superstructures are correlated to the epitaxy between the honeycomb structure of silicon (so called silicene)…

Materials Science · Physics 2015-09-30 H. Jamgotchian , B. Ealet , Y. Colignon , H. Maradj , J-Y. Hoarau , J-P. Biberian , B. Aufray

The unusual surface states of topological semimetals have attracted a lot of attention. Recently, we showed [PNAS 113, 8648 (2016)] that for a Dirac semimetal (DSM) arising from band-inversion, such as Na$_3$Bi and Cd$_3$As$_2$, the…

Strongly Correlated Electrons · Physics 2018-05-18 Mehdi Kargarian , Yuan-Ming Lu , Mohit Randeria

We present wave transport experiments in hyperuniform disordered arrays of cylinders with high dielectric permittivity. Using microwaves, we show that the same material can display transparency, photon diffusion, Anderson localization, or a…

Disordered Systems and Neural Networks · Physics 2020-10-16 Geoffroy J. Aubry , Luis S. Froufe-Pérez , Ulrich Kuhl , Olivier Legrand , Frank Scheffold , Fabrice Mortessagne

Silica or SiO$_2$, the main constituent of earth's rocks has several 3D complex crystalline and amorphous phases, but it does not have a graphite like layered structure in 3D. Our theoretical analysis and numerical calculations from the…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 V. Ongun Özçelik , S. Cahangirov , S. Ciraci