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Nematic superconductors possess unconventional superconducting order parameters that spontaneously break rotational symmetry of the underlying crystal. In this work we propose a mechanism for nematic superconductivity stabilized by strong…

Superconductivity · Physics 2019-04-10 Vladyslav Kozii , Hiroki Isobe , Jörn W. F. Venderbos , Liang Fu

We show that introducing spin-singlet or spin-triplet superconductivity into twisted bilayer graphene induces higher-order topological superconductivity. $C_{2z}T$-protected corner states of Majorana Kramers pairs appear at the boundary…

Superconductivity · Physics 2021-08-13 Aaron Chew , Yijie Wang , B. Andrei Bernevig , Zhi-Da Song

Theoretical and experimental studies have verified the existence of ``magic angles'' in twisted bilayer graphene, where the twist between layers gives rise to flat bands and consequently highly correlated phases. Narrow bands can also exist…

Strongly Correlated Electrons · Physics 2024-03-20 D. C. W. Foo , Z. Zhan , Mohammed M. Al Ezzi , L. Peng , S. Adam , F. Guinea

The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

Moir\'e materials host a wealth of intertwined correlated and topological states of matter, all arising from flat electronic bands with nontrivial quantum geometry. A prominent example is the family of alternating-twist magic-angle graphene…

Twisted bilayer graphene (TBG) near "magic angles" has emerged as a rich platform for strongly correlated states of two-dimensional Dirac semimetals. Here we show that twisted bilayers of thin-film magnetic topological insulators (MTI) with…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Gaurav Chaudhary , Anton A. Burkov , Olle G. Heinonen

Moir\'{e} superlattices in twisted bilayer graphene and transition-metal dichalcogenides have emerged as a powerful tool for engineering novel band structures and quantum phases of two-dimensional quantum materials. Here we investigate…

Quantum Gases · Physics 2021-03-17 Xi-Wang Luo , Chuanwei Zhang

The relative twist angle between layers of near-lattice-matched van der Waals materials is critical for the emergent correlated phenomena associated with moire flat bands. However, the concept of angle rotation control is not exclusive to…

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

In recent years, twisted bilayer systems such as bilayer graphene have attracted a great deal of attention as the twist angle introduces a degree of freedom which can be used to non-trivially modify system properties. This idea has been…

Quantum Gases · Physics 2024-05-28 Chao Zhang , Zhijie Fan , Barbara Capogrosso-Sansone , Youjin Deng

We propose a lattice scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken symmetry phases can arise, including a nematic phase (which is a form of orbital…

Superconductivity · Physics 2018-08-29 John F. Dodaro , Steven A. Kivelson , Yoni Schattner , Xiao-Qi Sun , Chao Wang

We introduce and analyze a model that sheds light on the interplay between correlated insulating states, superconductivity, and flavor-symmetry breaking in magic angle twisted bilayer graphene. Using a variational mean-field theory, we…

Strongly Correlated Electrons · Physics 2021-12-14 Gal Shavit , Erez Berg , Ady Stern , Yuval Oreg

Twisted bilayer systems host a wealth of emergent phenomena, such as flat-band superconductivity, ferromagnetism, and ferroelectricity, arising from moir\'e superlattices and unconventional interlayer coupling. Despite their central role,…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 A. Nakamura , Y. Chiashi , T. Shimojima , Y. Tanaka , S. Akatsuka , M. Sakano , S. Masubuchi , T. Machida , K. Watanabe , T. Taniguchi , K. Ishizaka

Owing to the interaction between the layers, the twisted bilayer two-dimensional materials exhibit numerous unique optical and electronic properties different from the monolayer counterpart, and have attracted tremendous interests in…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Yabin Ma , Tao Ouyang , Yuanping Chen , Yuee Xie

We compute the phase diagram of twisted bilayer graphene near the magic angle where the occurrence of flat bands enhances the effects of electron-electron interactions and thus unleashes strongly-correlated phenomena. Most importantly, we…

Strongly Correlated Electrons · Physics 2018-12-26 Dante M. Kennes , Johannes Lischner , Christoph Karrasch

The observation of flat energy bands in transition metal dichalcogenide bilayers such as twisted WSe${}_2$ makes those materials interesting prospects for reproducing the behavior observed in graphene-based systems. We use an effective…

Strongly Correlated Electrons · Physics 2022-12-21 Mathieu Bélanger , Jérôme Fournier , David Sénéchal

Twisted bilayer graphene (TBG) develops large moir\'e patterns at small twist angles with flat energy bands hosting domes of superconductivity. The large system size and intricate band structure have however hampered investigations into the…

Superconductivity · Physics 2022-07-19 Tomas Löthman , Johann Schmidt , Fariborz Parhizgar , Annica M. Black-Schaffer

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'{e} superlattice. Such superlattices are known to host bulk valley currents at tiny…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. M. R. Wolf , J. L. Lado , G. Blatter , O. Zilberberg

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

We construct a continuum model of twisted trilayer graphene using {\it ab initio} density-functional-theory calculations, and apply it to address twisted trilayer electronic structure. Our model accounts for moir\'e variation in site…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Lukas Linhart , Wei Qin , Florian Libisch , Allan H. MacDonald