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The supermoir\'e lattice, built by stacking two moir\'e patterns, provides a platform for creating flat mini-bands and studying electron correlations. An ultimate challenge in assembling a graphene supermoir\'e lattice is in the…

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

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…

High mobility single and few-layer graphene sheets are in many ways attractive as nanoelectronic circuit hosts but lack energy gaps, which are essential to the operation of field-effect transistors. One of the methods used to create gaps in…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Hakseong Kim , Nicolas Leconte , Bheema L. Chittari , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Jeil Jung , Suyong Jung

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

We theoretically investigate electron transport through corrugated graphene ribbons and show how the ribbon curvature leads to an electronic superlattice with a period set by the corrugation wave length. Transport through the ribbon depends…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Isacsson , L. M. Jonsson , J. M. Kinaret , M. Jonson

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

We report the experimental observation of commensurability oscillations (COs) in 1D graphene superlattices. The widely tunable periodic potential modulation in hBN encapsulated graphene is generated via the interplay of nanopatterned few…

Motivated by recent experimental findings on the low-energy spectrum of Kekul\'e-patterned graphene, the optoelectronic signatures of graphene superlattices with a spatial modulation that triples the size of the unit cell and folds the…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Saúl A. Herrera , Gerardo G. Naumis

We theoretically investigate the electronic structures of moir\'{e} superlattices arising in monolayer / bilayer graphene stacked on hexagonal boron nitride (hBN) in presence and absence of magnetic field. We develop an effective continuum…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Pilkyung Moon , Mikito Koshino

In heterostructures consisting of atomically thin crystals layered on top of one another, lattice mismatch or rotation between the layers results in long-wavelength moir\'e superlattices. These moir\'e patterns can drive significant band…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Nathan R. Finney , Matthew Yankowitz , Lithurshanaa Muraleetharan , K. Watanabe , T. Taniguchi , Cory R. Dean , James Hone

We study transport in undoped graphene in the presence of a superlattice potential both within a simple continuum model and using numerical tight-binding calculations. The continuum model demonstrates that the conductivity of the system is…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 P. Burset , A. Levy Yeyati , L. Brey , H. A. Fertig

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

The moir\'e superlattice formed by ABC stacked trilayer graphene aligned with a hexagonal boron nitride substrate (TG/h-BN) provides an interesting system where both the bandwidth and the topology can be tuned by an applied perpendicular…

Strongly Correlated Electrons · Physics 2019-06-05 Ya-Hui Zhang , T. Senthil

When monolayer graphene is crystallographically aligned to hexagonal boron nitride (BN), a moir\'e superlattice is formed, producing characteristic satellite Dirac peaks in the electronic band structure. Aligning a second BN layer to…

We study a novel type of graphene-based superlattices formed owing to a periodic modulation of the Fermi surface. Such a modulation is possible for graphene deposited on a striped substrate made of materials with substantially different…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 P. V. Ratnikov , A. P. Silin

The presence of periodic modulation in graphene leads to a reconstruction of the band structure and formation of minibands. In an external uniform magnetic field, a fractal energy spectrum called Hofstadter butterfly is formed. Particularly…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Alina Mreńca-Kolasińska , Szu-Chao Chen , Ming-Hao Liu

We calculate dc-conductivities of ballistic graphene undulated by a overlying moving unidirectional electrical superlattice (SL) potential whose SL-velocity is smaller than the electron velocity. We obtain no dependence of the conductivity…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Jürgen Dietel , Hagen Kleinert

The electronic properties of moir\'e heterostructures depend sensitively on the relative orientation between layers of the stack. For example, near-magic-angle twisted bilayer graphene (TBG) commonly shows superconductivity, yet a TBG…

Graphene-based systems have emerged as a rich platform for exploring emergent quantum phenomena-including superconductivity, magnetism, and correlated insulating behavior-arising from flat electronic bands that enhance many-body…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Xinyu Cai , Fengfan Ren , Qiao Li , Yanran Shi , Yifan Wang , Yifan Zhang , Zhenghang Zhi , Jiawei Luo , Yulin Chen , Jianpeng Liu , Xufeng Kou , Zhongkai Liu