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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…

介观与纳米尺度物理 · 物理学 2015-02-26 Jonas R. F. Lima

In this paper, the electronic band structures and its transport properties in the gapped graphene superlattices, with one-dimensional (1D) periodic potentials of square barriers, are systematically investigated. It is found that a zero…

介观与纳米尺度物理 · 物理学 2015-05-19 Li-Gang Wang , Xi Chen

We have studied the electronic properties in aperiodic graphene superlattices of Thue-Morse sequence. Although the structure is aperiodic, an unusual Dirac point (DP) does exist and its location is exactly at the position of the…

介观与纳米尺度物理 · 物理学 2012-06-28 Tianxing Ma , Chun Liang , Li-Gang Wang , Hai-Qing Lin

Electronic band gap and transport in quasi-periodic graphene superlattice of double-periodic sequence have been investigated. It is found that such quasi-periodic structure can possess a zero-averaged wave number (zero-$\bar{k}$) gap which…

介观与纳米尺度物理 · 物理学 2012-11-29 Xi Chen , Pei-Liang Zhao , Qi-Biao Zhu

We investigate the electronic band structure and transport properties of periodically alternating mono- and bi-layer graphene superlattices (MBLG SLs). In such MBLG SLs, there exists a zero-averaged wave vector (zero-$\overline{k}$) gap…

材料科学 · 物理学 2015-12-22 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

We investigate electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice. It is found that such structure can possess a zero-$\bar{k}$ gap which exists in all Fibonacci sequences. Different from Bragg gap,…

介观与纳米尺度物理 · 物理学 2011-11-09 Pei-Liang Zhao , Xi Chen

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 combined periodic ripples and electrostatic potentials to form curved graphene superlattices and studied the effects of space-dependent Fermi velocity induced from curvature on their electronic properties. With equal periods and…

介观与纳米尺度物理 · 物理学 2021-06-29 Jianli Luan , Kaiyi Guo , Shangyang Li , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

介观与纳米尺度物理 · 物理学 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

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…

介观与纳米尺度物理 · 物理学 2015-05-18 M. Barbier , P. Vasilopoulos , F. M. Peeters

We investigate electronic band structure and transport properties in bilayer graphene superlattices of Thue-Morse sequence. It is interesting to find that the zero-$\bar{k}$ gap center is sensitive to interlayer coupling $t'$, and the…

强关联电子 · 物理学 2013-10-30 Changan Li , Hemeng Cheng , Ruofan Chen , Tianxing Ma , Li-Gang Wang , Yun Song , Hai-Qing Lin

We show that, if graphene is subjected to the potential from an external superlattice, a band gap develops at the Dirac point provided the superlattice potential has broken inversion symmetry. As a numerical example, we calculate the band…

介观与纳米尺度物理 · 物理学 2015-05-13 Rakesh P Tiwari , D. Stroud

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

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

材料科学 · 物理学 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie

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…

介观与纳米尺度物理 · 物理学 2022-03-29 Minwoo Jung , Gennady Shvets

A graphene superlattice is formed by a one-dimensional periodic potential and is characterized by the emergence of new Dirac points in the electronic structure. The group velocity of graphene's massless Dirac fermions at the new points is…

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

介观与纳米尺度物理 · 物理学 2016-02-17 Mikito Koshino , Hideo Aoki

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…

材料科学 · 物理学 2014-11-12 Jonas R. F. Lima , F. Moraes

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…

介观与纳米尺度物理 · 物理学 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

Energy band structure of the bilayer graphene superlattices with $\delta$-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer matrix method. The periodic magnetic…

介观与纳米尺度物理 · 物理学 2014-09-29 C. Huy Pham , T. Thuong Nguyen , V. Lien Nguyen
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