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Related papers: Possible correlated insulating states in magic-ang…

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The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Yuan Cao , Valla Fatemi , Shiang Fang , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Pablo Jarillo-Herrero

Twisted bilayer graphene near the magic angle is known to have a cascade of insulating phases at integer filling factors of the low-energy bands. In this Letter we address the nature of these phases through an unrestricted, large-scale…

Strongly Correlated Electrons · Physics 2024-09-30 Khagendra Adhikari , Kangjun Seo , K. S. D. Beach , Bruno Uchoa

The flat electronic bands in magic-angle twisted bilayer graphene (MATBG) host a variety of correlated insulating ground states, many of which are predicted to support charged excitations with topologically non-trivial spin and/or valley…

We investigate the correlated electrons in the magic-angle twisted bilayer graphene by using the slave-rotor mean-field theory. Owing to the extended figure of Wannier orbitals, we study the two-orbital cluster Hubbard model with…

Strongly Correlated Electrons · Physics 2020-07-01 Shin-Ming Huang , Yi-Ping Huang , Ting-Kuo Lee

Twisted bilayer graphene (TBG) is remarkable for its topological flat bands, which drive strongly-interacting physics at integer fillings, and its simple theoretical description facilitated by the Bistritzer-MacDonald Hamiltonian, a…

Strongly Correlated Electrons · Physics 2022-08-10 Jonah Herzog-Arbeitman , Aaron Chew , Dmitri K. Efetov , B. Andrei Bernevig

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…

The incommensurate 30$^{\circ}$ twisted bilayer graphene (BG) possesses both relativistic Dirac fermions and quasiperiodicity with 12-fold rotational symmetry arising from the interlayer interaction…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Guodong Yu , Yunhua Wang , Mikhail I. Katsnelson , Hai-Qing Lin , Shengjun Yuan

Motivated by recent experimental observations of displacement-field-tuned correlated insulators at integer and half-integer fillings in chirally twisted triple bilayer graphene (CTTBG), we study the single-particle and interacting physics…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Geng-Dong Zhou , Yi-Jie Wang , Wen-Xuan Wang , Xiao-Bo Lu , Zhi-Da Song

We systematically study emergent Kondo lattice models from magic-angle twisted bilayer graphene using the topological heavy fermion representation. At the commensurate fillings, we demonstrate a series of symmetric strongly correlated…

Strongly Correlated Electrons · Physics 2023-07-13 Yang-Zhi Chou , Sankar Das Sarma

The rich physics of magic angle twisted bilayer graphene (TBG) results from the Coulomb interactions of electrons in flat bands of non-trivial topology. While the bands' dispersion is well characterized, accessing their topology remains an…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 F. Mesple , P. Mallet , G. Trambly de Laissardière , C. Dutreix , G. Lapertot , J-Y. Veuillen , V. T. Renard

The discovery of alternating superconducting and insulating ground-states in magic angle graphene has suggested an intriguing analogy with cuprate high-$T_c$ materials. Here we argue that the network states of small angle twisted bilayer…

Strongly Correlated Electrons · Physics 2020-10-02 E. J. König , Piers Coleman , A. M. Tsvelik

Moir\'e systems displaying flat bands have emerged as novel platforms to study correlated electron phenomena. Insulating and superconducting states appear upon doping magic angle twisted bilayer graphene (TBG), and there is evidence of…

Strongly Correlated Electrons · Physics 2021-05-17 M. J. Calderón , E. Bascones

Rotated graphene multilayers form a new class of graphene related systems with electronic properties that drastically depend on the rotation angles. It has been shown that bilayers behave like two isolated graphene planes for large rotation…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 G. Trambly de Laissardière , D. Mayou , L. Magaud

The electronic properties of van der Waals (vdW) structures can be substantially modified by the moire superlattice potential, which strongly depends on the twist angle among the compounds. In twisted bilayer graphene (TBG), two low-energy…

Materials Science · Physics 2020-12-02 Ya-Ning Ren , Yu Zhang , Yi-Wen Liu , Lin He

Magic-angle helical trilayer graphene relaxes into commensurate moir\'e domains, whose topological and well-isolated set of narrow bands possess ideal characteristics for realizing robust correlated topological phases, compared with other…

Strongly Correlated Electrons · Physics 2023-08-21 Yves H. Kwan , Patrick J. Ledwith , Chiu Fan Bowen Lo , Trithep Devakul

The nature of correlated states in twisted bilayer graphene (TBG) at the magic angle has received intense attention in recent years. We present a numerical study of an interacting Bistritzer-MacDonald (IBM) model of TBG using a suite of…

The emergence of correlated insulating phases in magic-angle twisted bilayer graphene exhibits strong sample dependence. Here, we derive an Anderson theorem governing the robustness against disorder of the Kramers intervalley coherent…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Kryštof Kolář , Gal Shavit , Christophe Mora , Yuval Oreg , Felix von Oppen

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ma Luo , Zhibing Li

We report on a double moir\'e system consisting of four graphene layers, where the top and bottom pairs form small-twist-angle bilayer graphene, and the middle interface has a large rotational mismatch. This system shows clear signatures of…

In the magic-angle twisted bilayer graphene (MA-TBG), strong electron-electron (e-e) correlations caused by the band-flattening lead to many exotic quantum phases such as superconductivity, correlated insulator, ferromagnetism, and quantum…

Materials Science · Physics 2020-05-29 Ya-Ning Ren , Chen Lu , Yu Zhang , Si-Yu Li , Yi-Wen Liu , Chao Yan , Zi-Han Guo , Cheng-Cheng Liu , Fan Yang , Lin He