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Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

By means of a microwave tight-binding analogue experiment of a graphene-like lattice, we observe a topological transition between a phase with a point-like band gap characteristic of massless Dirac fermions and a gapped phase. By applying a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

We consider $\alpha$-$T_3$ lattice illuminated by intense circularly polarized radiation in terahertz regime. We present quasienergy band structure, time-averaged energy spectrum and time-averaged density of states of $\alpha$-$T_3$ lattice…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Bashab Dey , Tarun Kanti Ghosh

We consider a lateral hetero-junction where the left and right leads are made of monolayer graphene and the middle region is made of a gapped tilted Dirac material (borophene or quinoid graphene) illuminated with off-resonant circularly…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh

Topological node of electronic bands can carry emergent charge degree of freedom such as the Berry curvature monopole of the Weyl semimetals, which results in intriguing transport and optical phenomena. In this study, we discuss the…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Kohei Hattori , Hikaru Watanabe , Ryotaro Arita

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

By viewing the electron as a wavepacket in the positive energy spectrum of the Dirac equation, we are able to achieve a much clearer understanding of its behavior under weak electromagnetic fields. The intrinsic spin magnetic moment is…

General Physics · Physics 2007-09-11 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

Recent synthesis of monolayer borophene (triangle boron monolayer) on the substrate opens the era of boron nanosheet (Science, 350, 1513, $\mathbf{2015}$), but the structural stability and novel physical properties are still open issues.…

Materials Science · Physics 2016-02-12 Lichun Xu , Aijun Du , Liangzhi Kou

We propose a method to detect the geometric phase produced by the Dirac-type band structure of a triangular-lattice photonic crystal. The spectrum is known to have a conical singularity (= Dirac point) with a pair of nearly degenerate modes…

Optics · Physics 2008-08-04 R. A. Sepkhanov , Johan Nilsson , C. W. J. Beenakker

Pseudospin is an angular momentum degree of freedom introduced in analogy to the real electron spin in the effective massless Dirac-like equation used to describe wave evolution at conical intersections such as the Dirac cones of graphene.…

Optics · Physics 2023-05-03 Philip Menz , Haissam Hanafi , Daniel Leykam , Jörg Imbrock , Cornelia Denz

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

We consider the impact of Berry phase on the Wigner crystal (WC) state of a two-dimensional electron system. We consider first a model of Bernal bilayer graphene with a perpendicular displacement field, and we show that Berry curvature…

Strongly Correlated Electrons · Physics 2025-12-23 Sandeep Joy , Leonid Levitov , Brian Skinner

We study the orbital Hall response in buckled two-dimensional Dirac materials using a unified framework that includes an antiferromagnetic exchange field, a perpendicular electric field, and intrinsic spin-orbit coupling. We show that the…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Madiha Zia , Muzamil Shah , Kashif Sabeeh , Gao Xianlong , Reza Asgari

Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

We analyze the magneto-optical conductivity (and related magnitudes like transmittance and Faraday rotation of the irradiated polarized light) of some elemental two-dimensional Dirac materials of group IV (graphene analogues, buckled…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 M. Calixto , A. Mayorgas , N. A. Cordero , E. Romera , O. Castaños

We demonstrated theoretically that the renormalization of the electron energy spectrum near the Dirac point of graphene by a strong high-frequency electromagnetic field (dressing field) drastically depends on polarization of the field.…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 K. Kristinsson , O. V. Kibis , S. Morina , I. A. Shelykh

Strong coupling between matter and quantized electromagnetic fields in a cavity has emerged as a possible route toward controlling the phase of matter in the absence of an external drive. We develop a faithful and efficient theoretical…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Kanta Masuki , Yuto Ashida

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensional Hamiltonian is used to describe the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Pedro Roman-Taboada , Gerardo G. Naumis

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

We show that a semi-Dirac (SD) system with an inversion symmetry breaking mass exhibits a topological phase transition when irradiated with off-resonant light. Using Floquet theory, we derive the band structure, Chern numbers, phase…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou