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A graphene-based superlattice formed due to the periodic modulation of the band gap has been investigated. Such a modulation is possible in graphene deposited on a strip substrate made of silicon oxide and hexagonal boron nitride. The…

介观与纳米尺度物理 · 物理学 2012-08-08 P. V. Ratnikov

We analyze the energy spectrum of graphene in the presence of spin-orbit coupling and a unidirectionally periodic Zeeman field, focusing on the stability and location of Dirac points it may support. It is found that the Dirac points at the…

介观与纳米尺度物理 · 物理学 2016-08-24 Luis Brey , A. R. Carvalho , H. A. Fertig

We consider the gapped graphene superlattice (SL) constructed in accordance with the Fibonacci rule. Quasi-periodic modulation is due to the difference in the values of the energy gap in different SL elements. It is shown that the effective…

介观与纳米尺度物理 · 物理学 2015-06-12 A. M. Korol , V. M. Isai

We investigate the electronic structure of graphene monolayers subjected to patterned dielectric superlattices. Through a quantum capacitance model approach, we simulate realistic devices capable of imposing periodic potentials on graphene.…

介观与纳米尺度物理 · 物理学 2025-01-27 Zhen Zhan , Yonggang Li , Pierre A. Pantaleon

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…

材料科学 · 物理学 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

介观与纳米尺度物理 · 物理学 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

We present a simple group theory explanation of the fact that the energy bands merge in the corners of the Brillouin zone for graphene and for two particular cases of Kagome lattice for arbitrary tight--binding Hamiltonian. We connect the…

介观与纳米尺度物理 · 物理学 2012-02-13 E. Kogan

We develop a theory of interaction effects in graphene superlattices, where tunable superlattice periodicity can be used as a knob to control the gap at the Dirac point. Applied to graphene on hexa-boron-nitride (G/h-BN), our theory…

介观与纳米尺度物理 · 物理学 2013-12-31 Justin C. W. Song , Andrey V. Shytov , Leonid S. Levitov

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

介观与纳米尺度物理 · 物理学 2019-06-20 Gilles Montambaux

Graphene lacks an intrinsic band-gap, which limits its use in electronic applications. Here we demonstrate that periodic arrays of topological defects can open and control a band-gap in a predictable manner governed by defect spacing and…

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…

材料科学 · 物理学 2015-04-07 Jonas R. F. Lima

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 electronic structure of a twisted multilayer graphene system forming a moir\'e pattern. We consider small twist angles separating the graphene sheets and develop a low-energy theory to describe the coupling of Dirac Bloch…

介观与纳米尺度物理 · 物理学 2019-07-17 Christophe Mora , Nicolas Regnault , B. Andrei Bernevig

Most studies on moir\'e superlattices formed from a stack of h-BN and graphene have focused on single layer graphene; graphene with multiple layers is less understood. Here, we show that a moir\'e superlattice of multilayer graphene shows…

介观与纳米尺度物理 · 物理学 2021-04-02 Fumiya Mukai , Kota Horii , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Graphene superlattices formed by periodic strain are considered theoretically. It is shown that electron energy spectrum consists of minibands obtained by folding of the cone at the boundaries of the superlattice Brillouin zone with very…

介观与纳米尺度物理 · 物理学 2015-06-03 Yu. Yu. Kiselev , L. E. Golub

A striking feature of bilayer graphene is the induction of a significant band gap in the electronic states by the application of a perpendicular electric field. Thicker graphene layers are also highly attractive materials. The ability to…

介观与纳米尺度物理 · 物理学 2012-02-21 Chun Hung Lui , Zhiqiang Li , Kin Fai Mak , Emmanuele Cappelluti , Tony F. Heinz

Moir\'e superlattices that consist of two or more layers of two-dimensional materials stacked together with a small twist angle have emerged as a tunable platform to realize various correlated and topological phases, such as Mott…

We study the electronic properties of a twisted trilayer graphene, where two of the layers have Bernal stacking and the third one has a relative rotation with respect to the AB-stacked layers. Near the Dirac point, the AB-twisted trilayer…

介观与纳米尺度物理 · 物理学 2013-04-02 E. Suárez Morell , M. Pacheco , L. Chico , L. Brey

Bernal stacked bilayer graphene subject to a superlattice potential can realize topological and stacked flat bands [1]. In the present work, we extend the study of a superlattice potential on graphene heterostructures to trilayer and…

介观与纳米尺度物理 · 物理学 2023-05-24 Sayed Ali Akbar Ghorashi , Jennifer Cano

We have investigated theoretically the resonance splitting effect of Dirac electrons through graphene superlattices with periodic potentials of square barriers. It is found that each resonance peak in the transmission gap presents…

介观与纳米尺度物理 · 物理学 2014-10-14 Yi Xu , Ying He , Yanfang Yang