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We present a theory of superconductivity in magic-angle twisted bilayer graphene and analyze the superconducting phase diagram in presence of the magnetic field. Namely, we consider a model of a granular array hosting localized states,…

Superconductivity · Physics 2023-03-21 SK Firoz Islam , A. Yu. Zyuzin , Alexander A. Zyuzin

The discovery of correlated states and superconductivity in magic-angle twisted bilayer graphene (MATBG) has established moir\'e quantum matter as a new platform to explore interaction-driven and topological quantum phenomena. Multitudes of…

It has recently been shown that superconductivity in magic-angle twisted trilayer graphene survives to in-plane magnetic fields that are well in excess of the Pauli limit, and much stronger than the in-plane critical magnetic fields of…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Wei Qin , Allan H. MacDonald

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

Twisted bilayer graphene (TBG) near the magic twist angle of $\sim1.1^{o}$ exhibits a rich phase diagram. However, the interplay between different phases and their dependence on twist angle is still elusive. Here, we explore the stability…

A series of recent experiments have demonstrated robust superconductivity in magic-angle twisted trilayer graphene (TTG). In particular, a recent work by Cao et al. (arxiv:2103.12083) studies the behavior of the superconductor in an…

Superconductivity · Physics 2021-11-17 Ethan Lake , T. Senthil

Understanding and tuning correlated states is of great interest and significance to modern condensed matter physics. The recent discovery of unconventional superconductivity and Mott-like insulating states in magic-angle twisted bilayer…

The optical conductivities of graphene layers are strongly dependent on their stacking orders. Our first-principle calculations show that while the optical conductivities of single layer graphene (SLG) and bilayer graphene (BLG) with Bernal…

Materials Science · Physics 2010-11-04 Yingying Wang , Zhenhua Ni , Lei Liu , Yanhong Liu , Chunxiao Cong , Ting Yu , Xiaojun Wang , Dezhen Shen , Zexiang Shen

Layers of twisted bilayer graphene exhibit varieties of exotic quantum phenomena1-5. Today, the twist angle {\Theta} has become an important degree of freedom for exploring novel states of matters, i.e. two-dimensional superconductivity (…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 T. Suzuki , T. Iimori , S. J. Ahn , Y. Zhao , M. Watanabe , J. Xu , M. Fujisawa , T. Kanai , N. Ishii , J. Itatani , K. Suwa , H. Fukidome , S. Tanaka , J. R. Ahn , K. Okazaki , S. Shin , F. Komori , I. Matsuda

The recently observed superconductivity in twisted bilayer graphene emerges from insulating states believed to arise from electronic correlations. While there have been many proposals to explain the insulating behaviour, the…

Strongly Correlated Electrons · Physics 2020-01-06 J. M. Pizarro , M. J. Calderón , E. Bascones

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Hennrik Schmidt , Johannes C. Rode , Dmitri Smirnov , Rolf J. Haug

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 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

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

Recent experiments on twisted bilayer graphene have shown a high-temperature parent state with massless Dirac fermions and broken electronic flavor symmetry; superconductivity and correlated insulators emerge from this parent state at lower…

Strongly Correlated Electrons · Physics 2020-12-14 Maine Christos , Subir Sachdev , Mathias S. Scheurer

Experiments on graphene bilayers, where the top layer is rotated with respect to the one below, have displayed insulating behavior when the moir\'e bands are partially filled. We calculate the charge distributions in these phases, and…

Strongly Correlated Electrons · Physics 2021-03-15 Ipsita Mandal , Jia Yao , Erich J. Mueller

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

Van der Waals heterostructures obtained by artificially stacking two-dimensional crystals represent the frontier of material engineering, demonstrating properties superior to those of the starting materials. Fine control of the interlayer…

The discovery of superconductivity in twisted bilayer graphene has triggered a resurgence of interest in flat-band superconductivity. Here, we investigate the square-octagon lattice, which also exhibits two perfectly flat bands when…

Superconductivity · Physics 2020-07-08 Lizardo H. C. M. Nunes , Cristiane Morais Smith

Stackings in graphene have a pivotal role in properties to be discussed in the future, as seen in the recently found superconductivity of twisted bilayer graphene. Beyond bilayer graphene, the stacking order of multilayer graphene can be…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Raúl Guerrero-Avilés , Marta Pelc , Fabian Geisenhof , Thomas Weitz , Andrés Ayuela