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Two-dimensional lattices of coupled micropillars etched in a planar semiconductor microcavity offer a workbench to engineer the band structure of polaritons. We report experimental studies of honeycomb lattices where the polariton…

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Quantum resonant tunneling behaviors of double-barrier structures on graphene are investigated under the tight-binding approximation. The Klein tunneling and resonant tunneling are demonstrated for the quasiparticles with energy close to…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Wei-Yin Deng , Rui Zhu , Yun-Chang Xiao , Wen-Ji Deng

Whereas massless Dirac fermions in monolayer graphene exhibit Klein tunneling when passing through a potential barrier upon normal incidence, such a barrier totally reflects massive Dirac fermions in bilayer graphene due to difference in…

Mesoscale and Nanoscale Physics · Physics 2012-04-09 Neetu Agrawal , Sameer Grover , Sankalpa Ghosh , Manish Sharma

The Lieb lattice and the kagome lattice, which are both well known for their Dirac cones and flat bands, can be continuously converted into each other by a shearing transformation. During this transformation, the flat band is destroyed, but…

Optics · Physics 2023-02-10 Jean-Philippe Lang , Haissam Hanafi , Jörg Imbrock , Cornelia Denz

The band structure of ABC-stacked N-layer graphene comprises topologically corresponding flat surface and gapped bulk subbands, as a consequence of the unique stacking configuration. In this paper, the bulk subbands are for the first times…

Mesoscale and Nanoscale Physics · Physics 2017-05-31 Ching-Hong Ho , Cheng-Peng Chang , Ming-Fa Lin

Moving, merging and annihilating Dirac points are studied theoretically in the tight-binding model on honeycomb lattice with up-to third-nearest-neighbor hoppings. We obtain a rich phase diagram of the topological phase transitions in the…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Yasumasa Hasegawa , Keita Kishigi

The generalized tight-binding model, based on the subenvelope functions of distinct sublattices, is developed to investigate the magnetic quantization in sliding bilayer graphenes. The relative shift of two graphene layers induces a…

Materials Science · Physics 2016-11-18 Yao-Kung Huang , Szu-Chao Chen , Yen-Hung Ho , Chiun-Yan Lin , Ming-Fa Lin

Motivated by a recent experiment in a tunable graphene analog [L. Tarruell et al., Nature 483, 302 (2012)], we consider a generalization of the Landau-Zener problem to the case of a quadratic crossing between two bands in the vicinity of…

Quantum Gases · Physics 2013-05-30 Jean-Noël Fuchs , Lih-King Lim , Gilles Montambaux

Klein tunneling is an old topic in relativistic quantum physics, and has been observed recently in graphene where massless particles reside. Here, we propose a new heterostructure platform for Klein tunneling to occur, which consists of a…

Mesoscale and Nanoscale Physics · Physics 2024-04-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

In this brief review, we survey the problem of electrostatic confinement of massless Dirac particles, via a number of exactly solvable one- and two-body models. By considering bound states at zero energy, we present a route to obtain truly…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 C. A. Downing , M. E. Portnoi

We employ the tight-binding propagation method to study Klein tunneling and quantum interference in large graphene systems. With this efficient numerical scheme, we model the propagation of a wave packet through a potential barrier and…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

Pseudospin plays a central role in many novel physical properties of graphene and other artificial systems which have pseudospins of 1/2. Here we show that in certain photonic crystals (PCs) exhibiting conical dispersions at k = 0, the…

Optics · Physics 2016-01-22 A. Fang , Z. Q. Zhang , Steven G. Louie , C. T. Chan

We consider a superlattice formed by tunnel-connected identical holes, periodically placed in a two-dimensional topological insulator. We study tunneling transport through helical edges of these holes and demonstrate that the band structure…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

The spectrum of tight binding electrons on a square lattice with half a magnetic flux quantum per unit cell exhibits two Dirac points at the band center. We show that, in the presence of an additional uniaxial staggered potential, this pair…

Mesoscale and Nanoscale Physics · Physics 2011-01-06 P. Delplace , G. Montambaux

We discuss the properties of 1D stationary pulses of light in atomic ensemble with electromagnetically induced transparency in the limit of tight spatial confinement. When the size of the wavepacket becomes comparable or smaller than the…

Quantum Physics · Physics 2009-11-13 J. Otterbach , R. G. Unanyan , M. Fleischhauer

Massless Dirac fermions in an electric field propagate along the field lines without backscattering, due to the combination of spin-momentum locking and spin conservation. This phenomenon, known as "Klein tunneling", may be lost if the…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 A. Donís Vela , G. Lemut , M. J. Pacholski , J. Tworzydło , C. W. J. Beenakker

We study tunneling of massless and massive particles through the smeared quantum horizon of the extra-dimensional Schwarzschild black holes. The emission rate of the particles' tunneling is modified by noncommutativity effects in a bulk…

High Energy Physics - Theory · Physics 2009-04-17 Kourosh Nozari , S. Hamid Mehdipour

We investigate quantum tunneling of charge carriers through a periodic superlattice in twisted bilayer graphene (TBG) with rectangular potential barriers, including the presence of a defect, using a low-energy continuum model. Transmission…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Ayoub Bahlaoui , Youness Zahidi , Ahmed Naddami

The tunneling of electrons and holes in quantum structures plays a crucial role in studying the transport properties of materials and the related devices. 8-Pmmn borophene is a new two-dimensional Dirac material, which hosts tilted Dirac…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Zhan Kong , Jian Li , Yi Zhang , Shu-Hui Zhang , Jia-Ji Zhu