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We present a simple model that we believe captures the key aspects of the competition between superconducting and insulating states in twisted bilayer graphene. Within this model, the superconducting phase is primary, and arises at generic…

Strongly Correlated Electrons · Physics 2019-09-16 Yang-Zhi Chou , Yu-Ping Lin , Sankar Das Sarma , Rahul M. Nandkishore

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

Bernal bilayer graphene has recently been discovered to exhibit a wide range of unique ordered phases resulting from interaction-driven effects and encompassing spin and valley magnetism, correlated insulators, correlated metals, and…

Layers of two-dimensional materials stacked with a small twist-angle give rise to beating periodic patterns on a scale much larger than the original lattice, referred to as a moir\'e superlattice. When the stacking involves more than two…

Mesoscale and Nanoscale Physics · Physics 2020-12-03 Kan-Ting Tsai , Xi Zhang , Ziyan Zhu , Yujie Luo , Stephen Carr , Mitchell Luskin , Efthimios Kaxiras , Ke Wang

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

The microscopic mechanism of superconductivity in the magic-angle twisted graphene family, including magic-angle twisted trilayer graphene (MATTG), is poorly understood. Properties of MATTG, like Pauli limit violation, suggest…

The discovery of interaction-driven insulating and superconducting phases in moir\'e van der Waals heterostructures has sparked considerable interest in understanding the novel correlated physics of these systems. While a significant number…

Extensive investigations on the Moir\'e magic-angle have been conducted in twisted bilayer graphene, unlocking the mystery of unconventional superconductivity and insulating states. In analog to magic angle, here we demonstrate the new…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Qingxiang Ji , Bohan Li , Johan Christensen , Changguo Wang , Muamer Kadic

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

Interactions among electrons and the topology of their energy bands can create novel quantum phases of matter. Most topological electronic phases appear in systems with weak electron-electron interactions. The instances where topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Kevin P. Nuckolls , Myungchul Oh , Dillon Wong , Biao Lian , Kenji Watanabe , Takashi Taniguchi , B. Andrei Bernevig , Ali Yazdani

Magic angle twisted bilayer graphene (MATBG) has become one of the prominent topics in Condensed Matter during the last few years, however, fully atomistic studies of the interacting physics are missing. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Miguel Sánchez Sánchez , Tobias Stauber

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

The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in one material, and their tunability, has opened…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Petr Stepanov , Ming Xie , Takashi Taniguchi , Kenji Watanabe , Xiaobo Lu , Allan H. MacDonald , B. Andrei Bernevig , Dmitri K. Efetov

We investigate correlated insulating states in magic-angle twisted bilayer graphene (TBG) by the exact diagonalization method applied to the extended Hubbard model with interaction parameters recently evaluated in the realistic effective…

Strongly Correlated Electrons · Physics 2018-08-08 Masayuki Ochi , Mikito Koshino , Kazuhiko Kuroki

Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid to a strongly correlated two-dimensional electron system with properties that are extraordinarily sensitive to carrier density and to controllable…

Mesoscale and Nanoscale Physics · Physics 2020-12-14 Eva Y. Andrei , Allan H. MacDonald

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…

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

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…

Magic-Angle Twisted Bilayer Graphene shows a wide range of correlated phases which are electrostatically tunable. Despite a growing knowledge of the material, there is yet no consensus on the microscopic mechanisms driving its…

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