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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…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

We introduce two-dimensional borane, a single-layered material of BH stoichiometry, with promising electronic properties. We show that, according to Density Functional Theory calculations, two-dimensional borane is semimetallic, with two…

Materials Science · Physics 2017-12-01 Miguel Martinez-Canales , Timur R. Galeev , Alexander I. Boldyrev , Chris J. Pickard

Unpinned Dirac points (DPs) are nodal point degeneracies that occur at generic momentum points lacking high symmetry, often exhibiting characteristics typically forbidden by symmetry. While this phenomenon has been observed in solid-state…

Optics · Physics 2025-02-20 Chang-Hwan Yi , Kyoung-Min Kim

Spin-split two-dimensional electronic states have been observed on ultrathin Sn(001) films grown on InSb(001) substrates. Angle-resolved photoelectron spectroscopy (ARPES) performed on these films revealed Dirac-cone-like linear dispersion…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Yoshiyuki Ohtsubo , Patrick Le Fèvre , François Bertran , Amina Taleb-Ibrahimi

In this work, we treat the rotation of the optical axis as a new degree of freedom and theoretically propose a tilted linear-crossing metamaterials (TLCMM). Specifically, the conical dispersions of the NLCMM and TLCMM have the same shapes…

Optics · Physics 2020-08-10 Zhiwei Guo , Haitao Jiang , Hong Chen

We propose a new concept of two-dimensional (2D) Dirac semiconductor which is characterized by the emergence of fourfold degenerate band crossings near the band edge and provide a generic approach to realize this novel semiconductor in the…

Materials Science · Physics 2022-02-02 Botao Fu , Chao He , Da-Shuai Ma , Zhi-Ming Yu , Yong-Hong Zhao , Yugui Yao

The surface of W(110) exhibits a Dirac-cone-like surface state with $d$ character within a spin-orbit-induced symmetry gap. As a function of wave vector parallel to the surface, it shows nearly massless energy dispersion and a pronounced…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 K. Miyamoto , A. Kimura , K. Kuroda , T. Okuda , K. Shimada , H. Namatame , M. Taniguchi , M. Donath

We calculate the dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 John D. Malcolm , Elisabeth J. Nicol

After reviewing the concept of vison excitations in Z_2 dimer liquids, we study the liquid-crystal transition of the Quantum Dimer Model on the triangular lattice by means of a semiclassical spin-wave approximation to the dispersion of…

Strongly Correlated Electrons · Physics 2008-05-27 Gregoire Misguich , Frederic Mila

We have considered a semi-infinite crack embedded in a transversely isotropic medium and studied two special cases, one, in which the axis of symmetry is normal to the crack face and the wave incidence is arbitrary and another, in which the…

Mathematical Physics · Physics 2009-02-25 A. Gautesen , V. Zernov , L. Fradkin

Massless Dirac particles are characterized by an effective pseudospin-momentum locking, which is the origin of the peculiar scattering properties of Dirac particles through potential barriers. This pseudospin-momentum locking also governs…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Lassaad Mandhour , Farah Bouhadida , Frédéric Piéchon

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…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

BaMg2Bi2 is a Dirac semimetal characterized by a simple Dirac cone crossing the Fermi level at the center of the Brillouin zone, protected by C3 rotational symmetry. Together with its Sr-based analogue SrMg2Bi2, it has been proposed as a…

The phenomenon of spin-dependent quantum scattering in two-dimensional (2D) pseudospin-1/2 Dirac materials leading to a relativistic quantum chimera was recently uncovered. We investigate spin-dependent Dirac electron optics in 2D…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Chen-Di Han , Ying-Cheng Lai

Superconductivity of a single two-dimensional Dirac fermion offers a natural route to topological superconductivity. While usually considered extrinsic -- arising from proximity to a conventional superconductor -- we investigate when a…

Superconductivity · Physics 2026-04-09 Omid Tavakol , Thomas Scaffidi

We investigate the influence of the temporal variations of various medium parameters on the propagation of Dirac-type waves in materials where the quasiparticles are described by a generalized version of the pseudospin-1/2 Dirac equation.…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Seulong Kim , Kihong Kim

The simulation of fermionic relativistic physics, e.g., Dirac and Weyl physics, has led to the discovery of many unprecedented phenomena in photonics, of which the optical-frequency realization is, however, still challenging. Here,…

Optics · Physics 2022-05-18 Hai-Xiao Wang , Yige Chen , Guang-Yu Guo , Hae-Young Kee , Jian-Hua Jiang

We theoretically investigate Klein tunneling processes in photonic artificial graphene. Klein tunneling is a phenomenon in which a particle with Dirac dispersion going through a potential step shows a characteristic angle- and…

Optics · Physics 2017-07-21 Tomoki Ozawa , Alberto Amo , Jacqueline Bloch , Iacopo Carusotto

Molecular crystals are a flexible platform to induce novel electronic phases. Due to the weak forces between molecules, intermolecular distances can be varied over relatively larger ranges than interatomic distances in atomic crystals. On…