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Constrained clustering has gained significant attention in the field of machine learning as it can leverage prior information on a growing amount of only partially labeled data. Following recent advances in deep generative models, we…

Machine Learning · Computer Science 2022-02-02 Laura Manduchi , Kieran Chin-Cheong , Holger Michel , Sven Wellmann , Julia E. Vogt

Stacking order has strong influence on the coupling between the two layers of twisted bilayer graphene (BLG), which in turn determines its physical properties. Here, we report the investigation of the interlayer coupling of the epitaxially…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 Bing Deng , Binbin Wang , Ning Li , Rongtan Li , Yani Wang , Jilin Tang , Qiang Fu , Zhen Tian , Peng Gao , Jiamin Xue , Hailin Peng

Recently, symmetry-broken ground states, such as correlated insulating states, magnetic order and superconductivity, have been discovered in twisted bilayer graphene (tBLG) and twisted trilayer graphene (tTLG) near the so-called…

In clustering we normally output one cluster variable for each datapoint. However it is not necessarily the case that there is only one way to partition a given dataset into cluster components. For example, one could cluster objects by…

Machine Learning · Computer Science 2019-12-05 Matthew Willetts , Stephen Roberts , Chris Holmes

Recent experimental and theoretical investigations demonstrate that twisted trilayer graphene (tTLG) is a highly tunable platform to study the correlated insulating states, ferromagnetism, and superconducting properties. Here we explore the…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Zewen Wu , Xueheng Kuang , Zhen Zhan , Shengjun Yuan

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

Plasma enhanced chemical vapor deposition (PECVD) techniques have been shown to be an efficient method to achieve single-step synthesis of high-quality monolayer graphene (MLG) without the need of active heating. Here we report PECVD-growth…

The problem of Hybrid Linear Modeling (HLM) is to model and segment data using a mixture of affine subspaces. Different strategies have been proposed to solve this problem, however, rigorous analysis justifying their performance is missing.…

Machine Learning · Statistics 2009-08-27 Guangliang Chen , Gilad Lerman

Van der Waals (vdW) heterostructures ---formed by stacking or growing two-dimensional (2D) crystals on top of each other--- have emerged as a new promising route to tailor and engineer the properties of 2D materials. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 G. Catarina , B. Amorim , Eduardo V. Castro , J. M. Viana Parente Lopes , N. M. R. Peres

Twisted bilayer graphene with tiny rotation angles have drawn significant attention due to the observation of the unconventional superconducting and correlated insulating behaviors. In this paper, we employ a full tight-binding model to…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Xueheng Kuang , Zhen Zhan , Shengjun Yuan

The ability to control the strength of interaction is essential for studying quantum phenomena emerging from a system of correlated fermions. For example, the isotope effect illustrates the effect of electron-phonon coupling on…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Xiaoxue Liu , Zhi Wang , K. Watanabe , T. Taniguchi , Oskar Vafek , J. I. A. Li

Graphene-based moir\'e superlattice featuring flat bands is a promising platform for studying strongly correlated states. By tuning two twist angles and displacement fields in twisted mono-mono-bilayer graphene (TMMBG), we observed a…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Jin Jiang , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

Twisted bilayer graphene (TBG) is a recently discovered two-dimensional superlattice structure which exhibits strongly-correlated quantum many-body physics, including strange metallic behavior and unconventional superconductivity. Most of…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Cunyuan Jiang , Matteo Baggioli , Qing-Dong Jiang

We report the observation of anomalously strong 2D band in twisted bilayer graphene (tBLG) with large rotation angles under 638-nm and 532-nm visible laser excitation. The 2D band of tBLG can reach four times as opposed to two times as…

The effective interaction between electrons in two-dimensional materials can be modified by their environment, enabling control of electronic correlations and phases. Here, we study the dependence of electronic correlations in twisted…

Strongly Correlated Electrons · Physics 2020-04-15 Zachary A. H. Goodwin , Valerio Vitale , Fabiano Corsetti , Dmitri K. Efetov , Arash A. Mostofi , Johannes Lischner

Gaussian Graphical Models (GGMs) are widely used in high-dimensional data analysis to synthesize the interaction between variables. In many applications, such as genomics or image analysis, graphical models rely on sparsity and clustering…

Machine Learning · Statistics 2026-03-25 Do Edmond Sanou , Christophe Ambroise , Geneviève Robin

Moir\'e structures formed by twisting three layers of graphene with two independent twist angles present an ideal platform for studying correlated quantum phenomena, as an infinite set of angle pairs is predicted to exhibit flat bands.…

Twisted bilayer graphene (tBLG) has recently emerged as a new platform for studying electron correlations, the strength of which can be controlled via the twist angle. Here, we study the effect of internal screening on electron-electron…

Strongly Correlated Electrons · Physics 2019-12-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

The recently synthesized 30$^\circ$ twisted bilayer graphene (30$^\circ$-TBG) systems are unique quasicrystal systems possessing dodecagonal symmetry with graphene's relativistic properties. We employ a real-space numerical atomistic…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Kevin J. U. Vidarte , Caio Lewenkopf

Designer 2D materials where the constituent layers are not aligned may result in band structures with dispersionless, "flat" bands. Twisted bilayer graphene has been found to show correlated phases as well as superconductivity related to…

Superconductivity · Physics 2023-02-03 P. Törmä , S. Peotta , B. A. Bernevig
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