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We study theoretically two-dimensional single-crystalline sheets of semiconductors that form a honeycomb lattice with a period below 10 nm. These systems could combine the usual semiconductor properties with Dirac bands. Using atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 E. Kalesaki , C. Delerue , C. Morais Smith , W. Beugeling , G. Allan , D. Vanmaekelbergh

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

Moir\'e-pattern based potential engineering has become an important way to explore exotic physics in a variety of two-dimensional condensed matter systems. While these potentials have induced correlated phenomena in almost all commonly…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Mohammed M. Al Ezzi , Junxiong Hu , Ariando , Francisco Guinea , Shaffique Adam

Artifical superlattice (SL) potentials have been employed extensively for band structure engineering of two-dimensional (2D) Dirac electron gas in graphene. While such engineered electronic band structures can modify optical or plasmonic…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Minwoo Jung , Gennady Shvets

Artificial honeycomb lattices offer a tunable platform to study massless Dirac quasiparticles and their topological and correlated phases. Here we review recent progress in the design and fabrication of such synthetic structures focusing on…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Marco Polini , Francisco Guinea , Maciej Lewenstein , Hari C. Manoharan , Vittorio Pellegrini

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…

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…

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

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

We present a phenomenological theory of the low energy moir\'e minibands of Dirac electrons in graphene placed on an almost commensurate hexagonal underlay with a unit cell pproximately three times larger than that of graphene.A slight…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 J. R. Wallbank , M. Mucha-Kruczynski , V. I. Fal'ko

It is highly desirable to modify and improve the Dirac electron system of graphene for novel electronic properties and promising applications. For this purpose, we study 2D heterostructures consisting of graphene and monolayer TMDs by means…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Bo-Wen Yu , Bang-Gui Liu

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Motohiko Ezawa

Superlattice potential modulation can produce flat minibands in Bernal-stacked bilayer graphene. In this work we study how band topology and interaction-induced symmetry-broken phases in this system are controlled by tuning the displacement…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Yongxin Zeng , Tobias M. R. Wolf , Chunli Huang , Nemin Wei , Sayed Ali Akbar Ghorashi , Allan H. MacDonald , Jennifer Cano

We experimentally demonstrate a simple graphene/ ferrolectric device, termed Ferrotronic (electronic effect from ferroelectric) device in which the band-structure of single-layer graphene is modified. The device architecture consists of…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Qifang Wan , Zhuocong Xiao , Ahmed Kursumovic , Judith. L. MacManus-Driscoll , Colm Durkan

We show that a superlattice potential can be employed to engineer topology in massive Dirac fermions in systems such as bilayer graphene, moir\'e graphene-boron nitride, and transition-metal dichalcogenide (TMD) monolayers and bilayers. We…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Nishchay Suri , Chong Wang , Benjamin M. Hunt , Di Xiao

We develop a symmetry indicator framework to efficiently predict the topology of superlattice-induced minibands with spin-orbit coupling. Our algorithm requires input only from the parent material before the superlattice is applied. The…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 M. Nabil Y. Lhachemi , Valentin Crépel , Jennifer Cano

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

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

This study examines the potential of superconductivity in transition metal (TM) intercalated bilayer graphene through a systematic study of the electronic and magnetic properties. We determine the electronic structure for all first row TM…

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