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We calculate the energy bands for graphene monolayers when electrons move through a periodic electrostatic potential in the presence of a uniform perpendicular magnetic field. We clearly demonstrate the quantum fractal nature of the energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Liubov Zhemchuzhna

The spatial dependence of the van der Waals (vdW) energy between graphene and hexagonal boron-nitride (h-BN) is investigated using atomistic simulations. The van der Waals energy between graphene and h-BN shows a hexagonal superlattice…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 M. Neek-Amal , F. M. Peeters

Holey graphene (HG) is a novel two-dimensional (2D) material that has attracted considerable attention due to its remarkable electrical, thermal, and mechanical properties. The recent discovery of flat bands in HG has garnered significant…

Optics · Physics 2025-08-01 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

We report on the observation of Coulomb drag between graphene-hexagonal boron nitride (hBN) moir\'{e} heterostructure with a moir\'{e} wavelength of $\sim$14 nm and an intrinsic graphene with a lattice constant of $\sim$0.25 nm. By tuning…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yueyang Wang , Hongxia Xue , Xiong Wang , Kenji Watanabe , Takashi Taniguchi , Dong-Keun Ki

Stacking two atomic crystals with a twist between their crystal axes produces moir\'e potentials that modify the electronic properties. Here we show that double moir\'e potentials generated by superposing three atomic crystals create a new…

Mesoscale and Nanoscale Physics · Physics 2024-12-16 Xinyuan Lai , Guohong Li , Angela M. Coe , Jedediah H. Pixley , Kenji Watanabe , Takashi Taniguchi , Eva Y. Andrei

We show that rhombohedral graphite may support surface superconductivity with an unusual relation between the BCS coupling constant and the order parameter. This feature results from the properties of the states localized on the graphite…

Superconductivity · Physics 2019-08-15 N. B. Kopnin , T. T. Heikkila

Twisted bilayer graphene (TBLG) subject to a sequence of commensurate external periodic potentials reveals the formation of moir\'{e} fractals (MF) that share striking similarities with the central place theory (CPT) of economic geography,…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Deepanshu Aggarwal , Rohit Narula , Sankalpa Ghosh

The stacking order and twist angle provide abundant opportunities for engineering band structures of two-dimensional materials, including the formation of moire bands, flat bands, and topologically nontrivial bands. The inversion symmetry…

Recently, the rhombohedral trilayer graphene (r-TLG) has attracted much attention because of its low-energy flat bands, which are predicted to result in many strongly correlated phenomena. Here, we demonstrate that it is possible to probe…

Mesoscale and Nanoscale Physics · Physics 2015-01-13 Rui Xu , Long-Jing Yin , Jia-Bin Qiao , Ke-Ke Bai , Jia-Cai Nie , Lin He

Rhombohedral multilayer graphene has emerged as a promising platform for exploring correlated and topological quantum phases, enabled by its Berry-curvature-bearing flat bands. While prior work has focused on separated conduction and…

Strongly Correlated Electrons · Physics 2026-03-04 Jinghao Deng , Jiabin Xie , Hongyuan Li , Takashi Taniguchi , Kenji Watanabe , Jie Shan , Kin Fai Mak , Xiaomeng Liu

Fractional Chern insulators (FCIs) showing a transport effect with fractionally quantized Hall plateaus emerging under zero magnetic field, provide a radically new opportunity to engineer topological quantum electronics. By construction of…

Strain-induced lattice mismatch leads to moir\'{e} patterns in homobilayer transition metal dichalcogenides (TMDs). We investigate the structural and electronic properties of such strained moir\'{e} patterns in TMD homobilayers. The…

Materials Science · Physics 2025-10-21 Sudipta Kundu , Indrajit Maity , Robin Bajaj , H. R. Krishnamurthy , Manish Jain

Fabrication of ordered structures at the nanoscale limit poses a cornerstone challenge for modern technologies. In this work we show how naturally occurring moir\'e patterns in Ir(111)-supported graphene template the formation of 2D ordered…

Recently hybridized monolayers consisting of hexagonal boron nitride (h-BN) phases inside graphene layer have been synthesized and shown to be an effective way of opening band gap in graphene monolayers [1]. In this letter, we report an ab…

Materials Science · Physics 2012-04-27 Qing Peng , Amir R. Zamiri , Wei Ji , Suvranu De

Thermoelectric effects are highly sensitive to the asymmetry in the density of states around the Fermi energy and can be exploited as probes of the electronic structure. We experimentally study thermopower in high-quality monolayer…

High quality graphene nanoribbons (GNRs) grown by on-surface synthesis strategies with atomic precision can be controllably doped by inserting heteroatoms or chemical groups in the molecular precursors. Here, we study the electronic…

Ferromagnetism is most common in transition metal compounds but may also arise in low-density two-dimensional electron systems, with signatures observed in silicon, III-V semiconductor systems, and graphene moir\'e heterostructures. Here we…

Moir\'e superlattices have emerged as a versatile platform for exploring a wide range of ex- otic quantum phenomena. Unlike angstrom-scale materials, the moir\'e length-scale system contains a large number of atoms, and its electronic…

Materials Science · Physics 2025-11-10 Xueheng Kuang , Federico Escudero , Pierre A. Pantaleón , Francisco Guinea , Zhen Zhan

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

Van der Waals (vdW) heterostructures are an emergent class of metamaterials comprised of vertically stacked two-dimensional (2D) building blocks, which provide us with a vast tool set to engineer their properties on top of the already rich…