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We review the energy spectrum and transport properties of several types of one- dimensional superlattices (SLs) on single-layer and bilayer graphene. In single-layer graphene, for certain SL parameters an electron beam incident on a SL is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

We study the electronic and transport properties of a graphene-based superlattice theoretically by using an effective Dirac equation. The superlattice consists of a periodic potential applied on a single-layer graphene deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Jonas R. F. Lima

Patterning graphene with a spatially-periodic potential provides a powerful means to modify its electronic properties. Dramatic effects have been demonstrated in twisted bilayers where coupling to the resulting moir\'e-superlattice yields…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Yutao Li , Scott Dietrich , Carlos Forsythe , Takashi Taniguchi , Kenji Watanabe , Pilkyung Moon , Cory R. Dean

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…

We investigate the emergence of extra Dirac points in the electronic structure of a periodically spaced barrier system, i.e., a superlattice, on single-layer graphene, using a Dirac-type Hamiltonian. Using square barriers allows us to find…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Barbier , P. Vasilopoulos , F. M. Peeters

One-dimensional graphene superlattice subjected to strong Kronig-Penney (KP) potential is promising for achieving electron lensing effect, while previous studies utilizing the modulated dielectric gates can only yield a moderate, spatially…

Mesoscale and Nanoscale Physics · Physics 2024-02-05 Tianlin Li , Hanying Chen , Kun Wang , Yifei Hao , Le Zhang , Kenji Watanabe , Takashi Taniguchi , Xia Hong

Superlattices are artificial periodic nanostructures which can control the flow of electrons. Their operation typically relies on the periodic modulation of the electric potential in the direction of electron wave propagation. Here we…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 Hugen Yan , Xuesong Li , Bhupesh Chandra , George Tulevski , Yanqing Wu , Marcus Freitag , Wenjuan Zhu , Phaedon Avouris , Fengnian Xia

Graphene-based superlattice (SL) formed by a periodic gap modulation is studied theoretically using a Dirac-type Hamiltonian. Analyzing the dispersion relation we have found that new Dirac points arise in the electronic spectrum under…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 G. M. Maksimova , E. S. Azarova , A. V. Telezhnikov , V. A. Burdov

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

The properties of Dirac electrons in a magnetic superlattice (SL) on graphene consisting of very high and thin (delta-function) barriers are investigated. We obtain the energy spectrum analytically and study the transmission through a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Ramezani Masir , P. Vasilopoulos , F. M. Peeters

The electronic transport properties and band structures for the graphene-based one-dimensional (1D) superlattices with periodic squared potentials are investigated. It is found that a new Dirac point is formed, which is exactly located at…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Li-Gang Wang , Shi-Yao Zhu

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

Strong band engineering in two-dimensional (2D) materials can be achieved by introducing moir\'e superlattices, leading to the emergence of various novel quantum phases with promising potential for future applications. Presented works to…

Mesoscale and Nanoscale Physics · Physics 2023-03-27 Shimin Cao , Mantang Chen , Jiang Zeng , Ning Ma , Runjie Zheng , Ya Feng , Shili Yan , Jing Liu , Kenji Watanabe , Takashi Taniguchi , X. C. Xie , Jian-Hao Chen

Electrons in graphene are described by relativistic Dirac-Weyl spinors with a two-component pseudospin1-12. The unique pseudospin structure of Dirac electrons leads to emerging phenomena such as the massless Dirac cone2, anomalous quantum…

The suite of highly confined polaritons supported by two-dimensional (2D) materials constitutes a versatile platform for nano-optics, offering the means to channel light on deep-subwavelength scales. Graphene, in particular, has attracted…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 T. P. Rasmussen , P. A. D. Gonçalves , Sanshui Xiao , Sebastian Hofferberth , N. Asger Mortensen , Joel D. Cox

Graphene is a valuable 2D platform for plasmonics as illustrated in recent THz and mid-infrared optics experiments. These high-energy plasmons however, couple to the dielectric surface modes giving rise to hybrid plasmon-polariton…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 H. Graef , D. Mele , M. Rosticher , C. Stampfer , T. Taniguchi , K. Watanabe , E. Bocquillon , G. Fève , J-M. Berroir , E. H. T. Teo , B. Plaçais

In this review article we discuss the recent progress in studying ballistic transport for charge carriers in graphene through highly inhomogenous magnetic field known as magnetic barrier in combination with gate voltage induced…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

The propagation of Dirac fermions in graphene through a long-period periodic potential would result in a band folding together with the emergence of a series of cloned Dirac points (DPs). In highly aligned graphene/hexagonal boron nitride…

Two-dimensional (2D) materials, composed of single atomic layers, have attracted vast research interest since the breakthrough discovery of graphene. One major benefit of such systems is the simple ability to tune the chemical potential by…

Superconductivity · Physics 2020-10-01 Gopi Nath Daptary , Eyal Walach , Efrat Shimshoni , Aviad Frydman

Harnessing electronic excitations involving coherent coupling to bosonic modes is essential for the design and control of emergent phenomena in quantum materials [1]. In situations where charge carriers induce a lattice distortion due to…

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