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The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

Moire materials exhibit diverse quantum properties such as superconductivity and correlated topo logical phases, making them ideal for studying strongly correlated systems. While moire materials are typically formed by stacking…

Strongly Correlated Electrons · Physics 2024-10-08 Depeng Ji , Qiaoling Xu , Lede Xian

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…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Christophe Mora , Nicolas Regnault , B. Andrei Bernevig

Twisted graphene multi-layers have been recently demonstrated to share several correlation-driven behaviours with twisted bilayer graphene. In general, the van Hove singularities (VHSs) can be used as a proxy of the tendency for correlated…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Hai Meng , Zhen Zhan , Shengjun Yuan

The superconducting state and mechanism are among the least understood phenomena in twisted graphene systems. For instance, recent tunneling experiments indicate a transition between nodal and gapped pairing with electron filling, which is…

Superconductivity · Physics 2023-11-17 Maine Christos , Subir Sachdev , Mathias S. Scheurer

Two-dimensional atomic crystals can radically change their properties in response to external influences such as substrate orientation or strain, resulting in essentially new materials in terms of the electronic structure. A striking…

We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Chunli Huang , Nemin Wei , Wei Qin , Allan MacDonald

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

Twisted bilayers of nodal superconductors were recently proposed as a promising platform to host superconducting phases that spontaneously break time-reversal symmetry. Here we extend this analysis to twisted multilayers, focusing on two…

Superconductivity · Physics 2022-07-28 Tarun Tummuru , Étienne Lantagne-Hurtubise , Marcel Franz

When bilayer graphene is rotationally faulted to an angle $\theta\approx 1.1^\circ$, theory predicts the formation of a flat electronic band and correlated insulating, superconducting, and ferromagnetic states have all been observed at…

Mesoscale and Nanoscale Physics · Physics 2020-09-15 Yu Saito , Jingyuan Ge , Kenji Watanabe , Takashi Taniguchi , Andrea F. Young

We have used scanning tunneling microscopy and spectroscopy to resolve the spatial variation of the density of states of twisted graphene layers on top of a highly oriented pyrolytic graphite substrate. Owing to the twist a moire pattern…

Moir\'e-superlattices are ubiquitous in 2D heterostructures, strongly influencing their electronic properties. They give rise to new Dirac cones and are also at the origin of the superconductivity observed in magic-angle bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Márton Szendrő , Péter Süle , Gergely Dobrik , Levente Tapasztó

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha

Magic-angle twisted bilayer graphene (TBG) with its flat bands provides a rich platform for exploring emergent electronic orders. Similarly, periodically buckled monolayer graphene has been proposed as a tunable alternative for realizing…

Mesoscale and Nanoscale Physics · Physics 2025-10-16 Jannes van Poppelen , Annica M. Black-Schaffer

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…

Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moir\'e quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic…

Strongly Correlated Electrons · Physics 2021-08-27 Michael M. Scherer , Dante M. Kennes , Laura Classen

Interlayer twist between van der Waals graphene crystals led to the discovery of superconducting and insulating states near the magic angle. In this work, we exploit this mechanical degree of freedom by twisting the graphene middle layer in…

Applied Physics · Physics 2019-08-13 Ali Hallal

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

Twisted graphene multilayers have demonstrated to yield a versatile playground to engineer controllable electronic states. Here, by combining first-principles calculations and low-energy models, we demonstrate that twisted graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Alejandro Lopez-Bezanilla , J. L. Lado

The coexistence of superconducting and correlated insulating states in magic-angle twisted bilayer graphene prompts fascinating questions about the relationship of these orders. Independent control of the microscopic mechanisms governing…

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