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We introduce a minimum tight-binding model with only three parameters extracted from graphene and untwisted bilayer graphene. This model reproduces quantitatively the electronic structure of not only these two systems and bulk graphite near…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Xianqing Lin , David Tománek

Twisted multilayer systems, encompassing materials like twisted bilayer graphene (TBG), twisted trilayer graphene, and twisted bilayer transition metal dichalcogenides, have garnered significant attention in condensed matter physics.…

Materials Science · Physics 2025-06-23 Citian Wang , Huaqing Huang

Artificially constructed van der Waals heterostructures (vdWHs) provide an ideal platform for realizing emerging quantum phenomena in condensed matter physics. Two methods for building vdWHs have been developed: stacking two-dimensional…

Materials Science · Physics 2020-12-30 Wei Yao , Martin Aeschlimann , Shuyun Zhou

One- and two-dimensional bilayer systems are examples of ultra-tunable quantum materials that are considered as the basis for the new generation of electronic and photonic devices. Here we develop a general theory of the electron band…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 D. V. Chalin , D. I. Levshov , A. E. Myasnikova , S. B. Rochal

Flatbands with extremely narrow bandwidths on the order of a few mili-electron volts can appear in twisted multilayer graphene systems for appropriate system parameters. Here we investigate the electronic structure of a twisted bi-bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-06-24 Narasimha Raju Chebrolu , Bheema Lingam Chittari , Jeil Jung

The crystal structure of a material creates a periodic potential that electrons move through giving rise to the electronic band structure of the material. When two-dimensional materials are stacked, the twist angle between the layers…

Strongly Correlated Electrons · Physics 2020-07-07 Zhiming Zhang , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Keiji Ueno , Emanuel Tutuc , Brian J. LeRoy

Quantum confinement endows two-dimensional (2D) layered materials with exceptional physics and novel properties compared to their bulk counterparts. Although certain two- and few-layer configurations of graphene have been realized and…

Inter-twisted bilayers of two-dimensional (2D) materials can host low-energy flat bands, which offer opportunity to investigate many intriguing physics associated with strong electron correlations. In the existing systems, ultra-flat bands…

Computational Physics · Physics 2022-03-01 Shengdan Tao , Xuanlin Zhang , Jiaojiao Zhu , Pimo He , Shengyuan A. Yang , Yunhao Lu , Su-Huai Wei

Band engineering in twisted bilayers of the five generic two-dimensional Bravais networks is demonstrated. We first derive symmetry-based constraints on the interlayer coupling, which helps us to predict and understand the shape of the…

Strongly Correlated Electrons · Physics 2019-11-13 Toshikaze Kariyado , Ashvin Vishwanath

In order to increase the accuracy of the linearized augmented plane wave method (LAPW) we present a new approach where the plane wave basis function is augmented by two different atomic radial components constructed at two different…

Materials Science · Physics 2015-12-10 A. V. Nikolaev , D. Lamoen , B. Partoens

We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals.…

Strongly Correlated Electrons · Physics 2025-01-07 Mohammed M. Al Ezzi , Gayani N. Pallewela , Christophe De Beule , E. J. Mele , Shaffique Adam

Twisted bilayer systems with discrete magic angles, such as twisted bilayer graphene featuring moir\'{e} superlattices, provide a versatile platform for exploring novel physical properties. Here, we discover a class of superflat bands in…

Optics · Physics 2022-05-31 Hongfei Wang , Shaojie Ma , Shuang Zhang , Dangyuan Lei

In recent years, two-dimensional twisted systems have gained increasing attention. However, the calculation of electronic structures in twisted material has remained a challenge. To address this, we have developed a general computational…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Junxi Yu , Shifeng Qian , Cheng-Cheng Liu

We present a comprehensive first-principles study of twisted bilayer graphene (tBLG) for a wide range of twist angles, with a focus on structural and electronic properties. By employing density functional theory (DFT) with an optimized…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Albert Zhu , Daniel Bennett , Daniel T. Larson , Mohammed M. Al Ezzi , Efstratios Manousakis , Efthimios Kaxiras

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of…

Strongly Correlated Electrons · Physics 2019-03-04 Niels R. Walet , Francisco Guinea

We provide a systematic real space derivation of the continuum Hamiltonian for a graphene bilayer starting from a microscopic lattice theory, allowing for an arbitrary inhomogeneous smooth lattice deformation, including a twist. Two…

Strongly Correlated Electrons · Physics 2023-02-24 Oskar Vafek , Jian Kang

Twisted double bilayer graphene has recently emerged as an interesting moir\'e material that exhibits strong correlation phenomena that are tunable by an applied electric field. Here we study the atomic and electronic properties of three…

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

Strongly Correlated Electrons · Physics 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras
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