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The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Lachlan L. Marnham , Andrey V. Shytov

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

Topologically protected surface states of three-dimensional topological insulators provide a model framework for studying massless Dirac electrons in two dimensions. Usually a step on the surface of a topological insulator is treated as a…

Mesoscale and Nanoscale Physics · Physics 2019-01-14 N. I. Fedotov , S. V. Zaitsev-Zotov

We develop an analytic formalism to describe dipole radiation near the Dirac cone of a two-dimensional photonic crystal slab. In contrast to earlier work, we account for all polarization effects and derive a closed-form expression for the…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Janos Perczel , Mikhail D. Lukin

Recently, orbital-textures have been found in Rashba and topological insulator (TI) surface states as a result of the spin-orbit coupling (SOC). Here, we predict a $p_x/p_y$ orbital texture, in linear dispersive Dirac bands, arising at the…

Mesoscale and Nanoscale Physics · Physics 2019-08-22 Felipe Crasto de Lima , Gerson J. Ferreira , Roberto H. Miwa

The remarkable properties of graphene stem from its two-dimensional (2D) structure, with a linear dispersion of the electronic states at the corners of the Brillouin zone (BZ) forming a Dirac cone. Since then, other 2D materials have been…

Materials Science · Physics 2018-11-06 S. Sadeddine , H. Enriquez , A. Bendounan , P. Das , I. Vobornik , A. Kara , A. Mayne , F. Sirotti , G. Dujardin , H. Oughaddou

It is recent that the emergence of topological insulators in condensed matter physics has inspired analogous wave phenomena in mechanical systems, mostly in the setting of discrete lattice models. Here we report a numerical and experimental…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Rajesh Chaunsali , Chun-Wei Chen , Jinkyu Yang

Vortex lines, known as topological defects, are cable of trapping Majorana modes in superconducting topological materials. Previous studies have primarily focused on topological bands with conventional s-wave pairing. However, topological…

Superconductivity · Physics 2026-02-02 Zhongyi Zhang , Zixi Fang , Shengshan Qin , Peng Zhang , Hoi Chun Po , Xianxin Wu

Two-dimensional Dirac physics has aroused great interests in condensed matter physics ever since the discovery of graphene and topological insulators due to its importance in both fundamental physics and device applications. The ability to…

Materials Science · Physics 2015-10-21 Xiao-Yu Dong , Jian-Feng Wang , Rui-Xing Zhang , Wen-Hui Duan , Bang-Fen Zhu , Jorge Sofo , Chao-Xing Liu

The physics of excitons, electron-hole pairs that are bound together by their mutual Coulomb attraction, can to great extent be understood in the framework of the quantum-mechanical hydrogen model. This model has recently been challenged by…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Maxim Trushin , Mark Oliver Goerbig , Wolfgang Belzig

Using the variable phase method, we reformulate the Dirac equation governing the charge carriers in graphene into a nonlinear first-order differential equation from which we can treat both confined-state problems in electron waveguides and…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 D. A. Stone , C. A. Downing , M. E. Portnoi

We suggest a theory of internal coherent tunneling in the pseudogap region where the applied voltage is below the free electron gap. We consider quasi 1D systems where the gap is originated by a lattice dimerization like in polyacethylene,…

Strongly Correlated Electrons · Physics 2009-11-11 S. I. Matveenko , S. Brazovskii

Dirac-like band crossings are paradigms in condensed matter systems to emulate high-energy physics phenomena. They are associated with two aspects: gap and tilting. The ability to design sign-changing gap gives rise to band topology,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Amir Youssefi , Ahmad Motavassal , Shingo Kono , Seyed Akbar Jafari , Tobias J. Kippenberg

Chiral Majorana hinge modes are characteristic of a second-order topological superconductor in three dimensions. Here we systematically study pairing symmetry in the point group D_{2h}, and find that the leading pairing channels can be of…

Superconductivity · Physics 2021-05-19 Bo Fu , Zi-Ang Hu , Chang-An Li , Jian Li , Shun-Qing Shen

Two-dimensional (2D) semi-Dirac materials are characterized by a quadratic dispersion in one direction and a linear dispersion along the orthogonal direction. We study the topological phase transition in such 2D systems in the presence of…

Strongly Correlated Electrons · Physics 2016-09-01 Kush Saha

We investigated the Dirac-cone state and its modulation when an ultrathin film of topological insulator Bi2Se3 was epitaxially grown on a van-der-Waals ferromagnet Cr2Si2Te6 (CST) by angle-resolved photoemission spectroscopy. We observed a…

The effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

Because phononic topological insulators have primarily been studied in discrete, graphene-like structures with C$_{6}$ or C$_{3}$ hexagonal symmetry, an open question is how to systematically achieve double Dirac cones and topologically…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yan Lu , Harold S. Park

Diffusion currents are theoretically examined in two-dimensional Dirac materials, such as those of the transition metal dichalcogenides (TMD) family. The transversal effects are analogues of the valley Hall (VHE) and photogalvanic (PGE)…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 A. V. Snegirev , V. M. Kovalev , M. V. Entin

We have theoretically investigated the intrinsic carrier mobility in semimetals with distorted Dirac cones under both longitudinal and transverse acoustic phonon scattering. An analytic formula for the carrier mobility was obtained. It…

Computational Physics · Physics 2018-08-20 Ting Cheng , Haifeng Lang , Zhenzhu Li , Zhongfan Liu , Zhirong Liu
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