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We study alpha, beta, and gamma graphyne, a class of graphene allotropes with carbon triple bonds, using a first-principles density-functional method and tight-binding calculation. We find that graphyne has versatile Dirac cones and it is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Bog G. Kim , Hyoung Joon Choi

Usually, the octet rule has limited the 2D materials by elements within groups IIIA_VA, whose outmost electrons can be considered to form hybridization orbit by s wave and p wave. The hybridization orbits can accommodate all the outmost…

Materials Science · Physics 2019-09-18 Xinyue Zhang , Qingsong Huang

Owing to their chiral cubic structure, exotic multifold topological excitations have been predicted and recently observed in transition metal silicides like $\beta$-RhSi. Herein, we report that the topological character of RhSi is also…

For the chiral limit of two sheets of $n$-layer Bernal-stacked graphene established in the Physical Review Letters arXiv:2109.10325 and arXiv:2109.11514, we prove a trichotomy: depending on the twisting angle, we have either (1)…

Mathematical Physics · Physics 2025-08-05 Bryan Li , Mengxuan Yang

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult

We demonstrate that a class of stable $\mathbb{Z}_2$ monopole charge Dirac point ($\mathbb{Z}_2$DP) phases can robustly exist in real materials, which surmounts the understanding: that is, a $\mathbb{Z}_2$DP is unstable and generally…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 Shifeng Qian , Yongpan Li , Cheng-Cheng Liu

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

We propose a mechanical granular graphene obtained by replacing the carbon atoms with macroscopic spherical stainless steel beads in contact. The experimental measured dispersion relation is presented, in conjunction with evidence of the…

Applied Physics · Physics 2019-06-05 Li-Yang Zheng , Florian Allein , Vincent Tournat , Vitalyi Gusev , Georgios Theocharis

We decipher the microscopic mechanism of the formation of tilt in the two-dimensional Dirac cone of $8Pmmn$ borphene. In our ab-initio calculations, we identify relevant low-energy degrees of freedom on the $8Pmmn$ lattice and find that…

Materials Science · Physics 2023-08-07 Yasin Yekta , Hanif Hadipour , S. A. Jafari

We highlight the fact that two-dimensional materials with Dirac-like low energy band structures and spin-orbit coupling will produce linearly dispersing topologically protected Jackiw-Rebbi modes at interfaces where the Dirac mass changes…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 D. S. L. Abergel , Jonathan M. Edge , Alexander V. Balatsky

The orbital diamagnetic susceptibility is calculated in monolayer and bilayer graphenes with band gap as well as in three-dimensional Dirac systems. It is demonstrated that the pseudo-spin degree of freedom such as valleys produces…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Mikito Koshino , Tsuneya Ando

Semi-Dirac semimetal is a material exhibiting linear band dispersion in one direction and quadratic band dispersion in the orthogonal direction and, therefore, hosts massless and massive fermions at the same point in the momentum space.…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Chengyong Zhong , Yuanping Chen , Yuee Xie , Yi-Yang Sun , Shengbai Zhang

We demonstrate theoretically that the interaction of electrons in gapped Dirac materials (gapped graphene and transition-metal dichalchogenide monolayers) with a strong off-resonant electromagnetic field (dressing field) substantially…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 O. V. Kibis , K. Dini , I. V. Iorsh , I. A. Shelykh

The electronic properties of graphene have been intensively investigated over the last decade, and signatures of the remarkable features of its linear Dirac spectrum have been displayed using transport and spectroscopy experiments. In…

Realization of unconventional odd-parity magnets usually requires noncollinear spin textures of the underlying lattice. We propose a different concept of $p$-wave magnetism that originates from an orbital texture induced by loop currents.…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Yantao Li , Pavlo Sukhachov

A three-dimensional (3D) Dirac semimetal is the 3D analog of graphene whose bulk band shows a linear dispersion relation in the 3D momentum space. Since each Dirac point with four-fold degeneracy carries a zero Chern number, a Dirac…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bohm-Jung Yang , Naoto Nagaosa

The adhesion of graphene on slightly lattice-mismatched surfaces, for instance of hexagonal boron nitride (hBN) or Ir(111), gives rise to a complex landscape of sublattice symmetry-breaking potentials for the Dirac fermions. Whereas a gap…

Materials Science · Physics 2015-06-03 Carmine Ortix , Liping Yang , Jeroen van den Brink

We study effects of strain on the electronic properties of the kagome lattice in a tight-binding formalism with spin-orbit coupling (SOC). The degeneracy at the $\Gamma$ point evolves into a pair of emergent tilted Dirac cones under…

Materials Science · Physics 2024-02-23 M. A. Mojarro , Sergio E. Ulloa

The fundamental spin-orbit coupling and spin mixing in graphene and rippled honeycomb lattice materials silicene, germanene, stanene, blue phosphorene, arsenene, antimonene, and bismuthene is investigated from first principles. The…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Marcin Kurpas , Paulo E. Faria Junior , Martin Gmitra , Jaroslav Fabian