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We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

The recent observed anomalous Hall effect in magic angle twisted bilayer graphene (TBG) aligned to hexagonal boron nitride (hBN) and unconventional ferroelectricity in Bernal bilayer graphene sandwiched by hBN present a new platform to tune…

Mesoscale and Nanoscale Physics · Physics 2024-02-01 Min Long , Zhen Zhan , Pierre A. Pantaleón , Jose Ángel Silva-Guillén , Francisco Guinea , Shengjun Yuan

Recently, alternating twist multilayer graphene (ATMG) has emerged as a family of moir\'e systems that share several fundamental properties with twisted bilayer graphene, and are expected to host similarly strong electron-electron…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 G. William Burg , Eslam Khalaf , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Emanuel Tutuc

Recently twisted bilayer graphene (t-BLG) emerges as a new strongly correlated physical platform near a magic twist angle, which hosts many exciting phenomena such as the Mott-like insulating phases, unconventional superconducting behavior…

We report a combined nano-photocurrent and infrared nanoscopy study of twisted bilayer graphene (TBG) enabling access to the local electronic phenomena at length scales as short as 20 nm. We show that the photocurrent changes sign at…

Due to the observed superconductivity, the alternating twisted trilayer graphene (ATTLG) has drawn great research interest very recently, in which three monolayer graphene (MLG) are stacked in alternating twist way. If one or several of the…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Shi-Ping Ding , Miao Liang , Zhen Ma , Jing-Tao Lü , Jin-Hua Gao

The electronic bands of twisted bilayer graphene (TBLG) with a large-period moir\'e superlattice fracture to form narrow Bloch minibands that are spectrally isolated by forbidden energy gaps from remote dispersive bands. When these gaps are…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Vo Tien Phong , E. J. Mele

In the twisted trilayer graphene (tTLG) platform, the rich beating patterns between the three graphene layers give rise to a plethora of new length scales and reconstructed electronic bands arising from the emergent moir\'e and…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Konstantin Davydov , Daochen Long , Jack Alexander Tavakley , Kenji Watanabe , Takashi Taniguchi , Ke Wang

The coupling of mechanical deformation and electrical stimuli at the nanoscale has been a subject of intense investigation in the realm of materials science. Recently, twisted van der Waals (vdW) materials have emerged as a platform to…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Hanhao Zhang , Yuanhao Wei , Yuhao Li , Shengsheng Lin , Jiarui Wang , Takashi Taniguchi , Kenji Watanabe , Jiangyu Li , Yi Shi , Xinran Wang , Yan Shi , Zaiyao Fei

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

Twisted van der Waals heterostructures provide a platform for studying a wide range of electron correlation phenomena, including unconventional superconductivity and correlated insulating states. However, fabricating such devices is…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Hyeon-Woo Jeong , Jiho Kim , Boknam Chae , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

Flat band electronic modes are responsible for superconductivity in twisted bilayer graphene (TBG) rotated at magic angles. From there other magic angles can be found for any multilayered twisted graphene systems. Eventually, this lead to…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Leonardo A. Navarro-Labastida , Gerardo G. Naumis

Twisted bilayer graphene has recently attracted a lot of attention for its rich electronic properties and tunability. Here we show that for very small twist angles, $\alpha \ll 1^\circ$, the application of a perpendicular electric field is…

Mesoscale and Nanoscale Physics · Physics 2018-10-04 A. Ramires , J. L. Lado

The study of twisted bilayer graphene (TBG) is a hot topic in condensed matter physics with special focus on {\em magic angles} of twisting at which TBG acquires unusual properties. Mathematically, topologically non-trivial flat bands…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 Maciej Zworski , Mengxuan Yang , Zhongkai Tao

Gaussian Mixture Models are one of the most studied and mature models in unsupervised learning. However, outliers are often present in the data and could influence the cluster estimation. In this paper, we study a new model that assumes…

Machine Learning · Statistics 2020-03-24 Sida Liu , Adrian Barbu

We present a theoretical study of the intrinsic plasmonic properties of twisted bilayer graphene (TBG) as a function of the twist angle $\theta$ (and other microscopic parameters such as temperature and filling factor). Our calculations,…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Lorenzo Cavicchi , Iacopo Torre , Pablo Jarillo-Herrero , Frank H. L. Koppens , Marco Polini

Federated multi-view clustering offers the potential to develop a global clustering model using data distributed across multiple devices. However, current methods face challenges due to the absence of label information and the paramount…

Machine Learning · Computer Science 2024-06-14 Xueming Yan , Ziqi Wang , Yaochu Jin

The discovery of magic-angle twisted trilayer graphene (tTLG) adds a new twist to the family of graphene moir\'e. The additional graphene layer unlocks a series of intriguing properties in the superconducting phase, such as the violation of…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Xiaoxue Liu , Naiyuan James Zhang , K. Watanabe , T. Taniguchi , J. I. A. Li

Twisted double bilayer graphene (tDBG) has emerged as an especially rich platform for studying strongly correlated and topological states of matter. The material features moir\'e bands that can be continuously deformed by both perpendicular…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Minhao He , Jiaqi Cai , Ya-Hui Zhang , Yang Liu , Yuhao Li , Takashi Taniguchi , Kenji Watanabe , David H. Cobden , Matthew Yankowitz , Xiaodong Xu

We present a novel approach to achieve spatial variations in the degree of non-covalent functionalization of twisted bilayer graphene (tBLG). The tBLG with twist angles varying between ~ 5{\deg} and 7{\deg} was non-covalently functionalized…