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At partial fillings of its flat electronic bands, magic-angle twisted bilayer graphene (MATBG) hosts a rich variety of competing correlated phases that show sample to sample variations. Divergent phase diagrams in MATBG are often attributed…

介观与纳米尺度物理 · 物理学 2023-07-12 Dillon Wong , Kevin P. Nuckolls , Myungchul Oh , Ryan L. Lee , Kenji Watanabe , Takashi Taniguchi , Ali Yazdani

Graphene, a one-layer honeycomb lattice of carbon atoms, exhibits unconventional phenomena and attracts much interest since its discovery. Recently, an unexpected Mott-like insulator state induced by moir\'e pattern and a superconducting…

介观与纳米尺度物理 · 物理学 2019-11-22 Yao Wang , Yi-Jun Chang , Jun Gao , Yong-Heng Lu , Zhi-Qiang Jiao , Fang-Wei Ye , Xian-Min Jin

At a magic relative twist angle, magic angle twisted bilayer graphene (MATBG) has an octet of flat bands that can host strong correlation physics when partially filled. A key theoretical discovery in MATBG is the existence of ferromagnetic…

数学物理 · 物理学 2025-03-27 Kevin D. Stubbs , Michael Ragone , Allan H. MacDonald , Lin Lin

A remarkable recent experiment has observed Mott insulator and proximate superconductor phases in twisted bilayer graphene when electrons partly fill a nearly flat mini-band that arises a `magic' twist angle. However, the nature of the Mott…

强关联电子 · 物理学 2018-10-03 Hoi Chun Po , Liujun Zou , Ashvin Vishwanath , T. Senthil

We study strongly correlated superconductivity in magic-angle twisted bilayer graphene (MATBG) using variational Gutzwiller wavefunction where the Gutzwiller projector $\hat{P}_{R}$ is allowed to break charge U(1) symmetry to accommodate…

强关联电子 · 物理学 2026-04-09 Matthew Shu Liang , Yi-Jie Wang , Geng-Dong Zhou , Zhi-Da Song , Xi Dai

A striking series of experiments have observed superconductivity in Bernal-stacked bilayer graphene (BBG) when the energy bands are flattened by applying an electrical displacement field. Intriguingly, superconductivity manifests only at…

超导电性 · 物理学 2025-02-03 Glenn Wagner , Yves H. Kwan , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

Twisted bilayer graphene (TBG) with interlayer twist angles near the magic angle $\approx 1.08^{\circ}$ hosts flat bands and exhibits correlated states including Mott-like insulators, superconductivity and magnetism. Here we report combined…

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…

强关联电子 · 物理学 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

Superconductivity with transition temperature $T_c=1.7$ K has been reported in bilayer graphene [1,2]. The main factors, which may shed light on the mechanism of the formation of this superconductivity, are the following. Superconductivity…

超导电性 · 物理学 2018-06-22 G. E. Volovik

The origin of superconductivity in magic-angle twisted bilayer graphene has been a subject of intense debate. While some experimental evidence indicated an unconventional pairing mechanism, efforts to tune the critical temperature by…

介观与纳米尺度物理 · 物理学 2024-12-03 Julien Barrier , Liangtao Peng , Shuigang Xu , V. I. Fal'ko , K. Watanabe , T. Tanigushi , A. K. Geim , S. Adam , Alexey I. Berdyugin

Correlated insulators and superconductivity have been observed in "magic-angle" twisted bilayer graphene, when the nearly flat bands close to neutrality are partially filled. While a momentum-space continuum model accurately describes these…

强关联电子 · 物理学 2019-06-04 Hoi Chun Po , Liujun Zou , T. Senthil , Ashvin Vishwanath

Superconductivity (SC) in twisted bilayer graphene (tBLG) has been explored by varying carrier concentrations, twist angles, and screening strength, with the aim of uncovering its origin and possible connections to strong electronic…

介观与纳米尺度物理 · 物理学 2024-09-13 Ranit Dutta , Ayan Ghosh , Shinjan Mandal , K. Watanabe , T. Taniguchi , H. R. Krishnamurthy , Sumilan Banerjee , Manish Jain , Anindya Das

In twisted bilayer graphene (TBG) devices, local strains frequently coexist and intertwine with the twist-angle-dependent moir\'e superlattice, significantly influencing the electronic properties of TBG, yet their combined effects remain…

We benchmark the recently proposed projection method [Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree…

介观与纳米尺度物理 · 物理学 2026-02-09 Miguel Sánchez Sánchez , Tobias Stauber

Flat electronic bands, characteristic of magic-angle twisted bilayer graphene (TBG), host a wealth of correlated phenomena. Early theoretical considerations suggested that, at the magic angle, the Dirac velocity vanishes and the entire…

The discovery of flat bands with non-trivial band topology in magic angle twisted bi-layer graphene (MATBG) has provided a unique platform to study strongly correlated phe-nomena including superconductivity, correlated insulators, Chern…

We report on finite-size exact-diagonalization calculations in a Hilbert space defined by the continuum-model flat moir\'e bands of magic angle twisted bilayer graphene (MATBG). For moir\'e band filling $3>|\nu|>2$, where superconductivity…

强关联电子 · 物理学 2021-10-01 Pawel Potasz , Ming Xie , Allan H. MacDonald

Twisted bilayer graphene (tBLG) provides us with a large rotational freedom to explore new physics and novel device applications, but many of its basic properties remain unresolved. Here we report the synthesis and systematic Raman study of…

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…

The simultaneous co-existence and gate-tuneability of the superconducting (SC), magnetic and topological orders in magic angle twisted bilayer graphene (MATBG) open up entirely new possibilities for the creation of complex hybrid Josephson…