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The formation of a superstructure - with a related Moir\'e pattern - plays a crucial role in the extraordinary optical and electronic properties of twisted bilayer graphene, including the recently observed unconventional superconductivity.…

Ultraflat bands in twisted bilayers of two-dimensional materials have potential to host strong correlations, including the Mott-insulating phase at half-filling of the band. Using first principles density functional theory calculations, we…

Materials Science · Physics 2019-01-02 Mit H. Naik , Manish Jain

We investigate the physics of photonic band structures of the moir\'e patterns that emerged when overlapping two uni-dimensional (1D) photonic crystal slabs with mismatched periods. The band structure of our system is a result of the…

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…

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

Twisted bilayer graphene (TwBLG) is one of the simplest van der Waals heterostructures, yet it yields a complex electronic system with intricate interplay between moir\'{e} physics and interlayer hybridization effects. We report on…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Y. Cao , J. Y. Luo , V. Fatemi , S. Fang , J. D. Sanchez-Yamagishi , K. Watanabe , T. Taniguchi , E. Kaxiras , P. Jarillo-Herrero

The recent discovery of superconductivity in magic-angle twisted bilayer graphene has sparked a renewed interest in the strongly-correlated physics of $sp^2$ carbons, in stark contrast to preliminary investigations which were dominated by…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Deepanshu Aggarwal , Rohit Narula , Sankalpa Ghosh

The transport properties of a twisted bilayer graphene barrier are investigated for various twist angles. Remarkably, for small twist angles around the magic angle $\theta_m \sim 1.05^{\circ}$, the local currents around the AA-stacked…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 D. A. Bahamon , G. Gómez-Santos , T. Stauber

Lattice relaxation in twistronic bilayers with close lattice parameters and almost perfect crystallographic alignment of the layers results in the transformation of moir\'e pattern into a sequence of preferential stacking domains and domain…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 M. A. Kaliteevsky , V. V. Enaldiev , V. I. Fal'ko

The emerging field of twistronics, which harnesses the twist angle between two-dimensional materials, represents a promising route for the design of quantum materials, as the twist-angle-induced superlattices offer means to control topology…

Moir\'e superlattices formed from transition metal dichalcogenides (TMDs) have been shown to support a variety of quantum electronic phases that are highly tunable using applied electromagnetic fields. While the valley character of the…

Lattice reconstruction in twisted transition-metal dichalcogenide (TMD) bilayers gives rise to piezo- and ferroelectric moir\'e potentials for electrons and holes, as well as a modulation of the hybridisation across the bilayer. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 S. J. Magorrian , V. V. Enaldiev , V. Zólyomi , Fábio Ferreira , Vladimir I. Fal'ko , David A. Ruiz-Tijerina

We systematically explore the structural and electronic properties of twisted trilayer graphene systems. In general, these systems are characterized by two twist angles, which lead to two incommensurate moir\'{e} periods. We show that…

Strongly Correlated Electrons · Physics 2023-10-31 Charles Yang , Julian May-Mann , Ziyan Zhu , Trithep Devakul

We investigate the topological properties of Floquet-engineered twisted bilayer graphene above the magic angle driven by circularly polarized laser pulses. Employing a full Moir\'e-unit-cell tight-binding Hamiltonian based on…

Materials Science · Physics 2019-09-30 Gabriel E. Topp , Gregor Jotzu , James W. McIver , Lede Xian , Angel Rubio , Michael A. Sentef

Moir\'e superlattices formed from twisting trilayers of graphene are an ideal model for studying electronic correlation, and offer several advantages over bilayer analogues, including more robust and tunable superconductivity and a wide…

Due to the forming of low-energy flat bands, the moir\'e superlattices of the transition metal dichalcogenides are fascinating platforms for studying novel correlated states when such flat bands are fractionally filled, with the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Bingbing Wang , Junxi Yu , Cheng-Cheng Liu

We address the effective tight-binding Hamiltonian that describes the insulating Mott state of twisted graphene bilayers at a magic angle. In that configuration, twisted bilayers form a honeycomb superlattice of localized states,…

Strongly Correlated Electrons · Physics 2019-06-24 Kangjun Seo , Valeri N. Kotov , Bruno Uchoa

The discovery of flat-bands in magic-angle twisted bilayer graphene has underscored the potential of moire engineering for correlated states, but such phases are notoriously difficult to realize and highly fragile against perturbations.…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Yalan Wei , Shifang Li , Yuke Song , Chaoyu He

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

Larkin-Ovchinnikov (LO) state which combines the superfluidity and spatial periodicity of pairing order parameter and exhibits the supersolid properties has been attracting intense attention in both condensed matter physics and ultracold…

Quantum Gases · Physics 2019-04-10 Qing Sun , Liang-Liang Wang , Xiong-Jun Liu , G. Juzeliūnas , An-Chun Ji