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Twistronics is an emerging and captivating field in condensed matter physics and material science. However, accurately and efficiently calculating the electronic structures of twisted systems remains a significant challenge. To address…

Materials Science · Physics 2026-05-27 Junxi Yu , Yichen Liu , Cheng-Cheng Liu

Recent trends of ab initio studies and progress in methodologies for electronic structure calculations of strongly correlated electron systems are discussed. The interest for developing efficient methods is motivated by recent discoveries…

Strongly Correlated Electrons · Physics 2010-12-06 Masatoshi Imada , Takashi Miyake

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding…

Materials Science · Physics 2022-05-06 V. Hung Nguyen , Trinh X. Hoang , J. -C. Charlier

Ab initio electronic structure calculations of two-dimensional layered structures are typically performed using codes that were developed for three-dimensional structures, which are periodic in all three directions. The introduction of a…

Strongly Correlated Electrons · Physics 2016-06-22 Paolo E. Trevisanutto , Giovanni Vignale

In this paper, we propose an extended plane wave framework to make the electronic structure calculations of the twisted bilayer 2D material systems practically feasible. Based on the foundation in [Y. Zhou, H. Chen, A. Zhou, J. Comput.…

Computational Physics · Physics 2023-01-05 Xiaoying Dai , Aihui Zhou , Yuzhi Zhou

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

The ability in experiments to control the relative twist angle between successive layers in two-dimensional (2D) materials offers a new approach to manipulating their electronic properties; we refer to this approach as "twistronics". A…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Stephen Carr , Daniel Massatt , Shiang Fang , Paul Cazeaux , Mitchell Luskin , Efthimios Kaxiras

We review our recently developed electronic structure calculation methods used for the dynamics of large-scale solids or liquids with an efficient algorithm for large scale simultaneous linear equations. The electronic structure calculation…

Materials Science · Physics 2011-02-02 T. Fujiwara , S. Yamamoto , T. Hoshi , S. Nishino , H. Teng , T. Sogabe , S. -L. Zhang , M. Ikeda , M. Nakashima , N. Watanabe

The electronic properties of two-dimensional materials and their heterostructures can be dramatically altered by varying the relative angle between the layers. This makes it theoretically possible to realize a new class of twistable…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Rebeca Ribeiro-Palau , Changjian Zhang , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

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

The electronic properties of the twisted InSe bilayer are studied by large-scale density functional theory. Spectral Function Unfolding reveals that the electronic structure of the twisted system can be described in terms of a combination…

Materials Science · Physics 2022-02-28 Siow Mean Loh , Nicholas D. M. Hine

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

We present a method for electronic structure calculations that retains all of the advantages of real space and addresses the inherent inefficiency of a regular grid, which has equal precision everywhere. The computations are carried out on…

Condensed Matter · Physics 2009-10-28 Gil Zumbach , N. A. Modine , Efthimios Kaxiras

Hybrid density functional calculation is indispensable to accurate description of electronic structure, whereas the formidable computational cost restricts its broad application. Here we develop a deep equivariant neural network method…

Materials Science · Physics 2023-02-17 Zechen Tang , He Li , Peize Lin , Xiaoxun Gong , Gan Jin , Lixin He , Hong Jiang , Xinguo Ren , Wenhui Duan , Yong Xu

Computational studies of basic models of strongly-correlated electron systems can provide guidance in the search for new materials as well as insight into the physical mechanisms responsible for their properties. Here, we illustrate this by…

Strongly Correlated Electrons · Physics 2009-11-07 D. J. Scalapino

We present a machine learning based model that can predict the electronic structure of quasi-one-dimensional materials while they are subjected to deformation modes such as torsion and extension/compression. The technique described here…

Materials Science · Physics 2022-06-01 Shashank Pathrudkar , Hsuan Ming Yu , Susanta Ghosh , Amartya S. Banerjee

The study of twisted two-dimensional (2D) materials, where twisting layers create moir\'e superlattices, has opened new opportunities for investigating topological phases and strongly correlated physics. While systems such as twisted…

The electronic structure of a material fundamentally determines its underlying physical, and by extension, its functional properties. Consequently, the ability to identify or generate materials with desired electronic properties would…

Materials Science · Physics 2025-04-09 Shuyi Jia , Panchapakesan Ganesh , Victor Fung

Efficient methods are proposed, for computing integrals appeaing in electronic structure calculations. The methods consist of two parts: the first part is to represent the integrals as contour integrals and the second one is to evaluate the…

Materials Science · Physics 2019-04-10 Hisashi Kohashi , Kosuke Sugita , Masaaki Sugihara , Takeo Hoshi

A twisting system is one of the major tools to study graded algebras, however, it is often difficult to construct a (non-algebraic) twisting system if a graded algebra is given by generators and relations. In this paper, we show that a…

Rings and Algebras · Mathematics 2022-05-03 Masaki Matsuno
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