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We introduce a novel two-dimensional electronic system with ultrastrong interlayer interactions, namely twisted bilayer graphene with a large twist angle, as an ideal ground for realizing interlayer-coherent excitonic condensates. In these…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Dohun Kim , Byungmin Kang , Yong-Bin Choi , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee , Gil Young Cho , Youngwook Kim

We develop a model to describe the mixed valence regime in magic-angle twisted bilayer graphene (MATBG) using the recently developed heavy-fermion framework. By employing the large-$N$ slave-boson approach, we derive the self-consistent…

Superconductivity · Physics 2024-07-16 Yantao Li , Benjamin M. Fregoso , Maxim Dzero

Magic-angle twisted bilayer graphene (TBG) has attracted significant interest recently due to the discoveries of diverse correlated and topological states in this system. Despite the extensive research on the electron-electron interaction…

Mesoscale and Nanoscale Physics · Physics 2022-10-13 Xiaoqian Liu , Ran Peng , Zhaoru Sun , Jianpeng Liu

We explore the phase diagram of a twisted bilayer of strongly interacting electrons on a honeycomb lattice close to half-filling using the slave boson mean-field theory. Our analysis indicates that a variety of new phases can be realized as…

Strongly Correlated Electrons · Physics 2024-08-23 Ilia Komissarov , Onur Erten , Pouyan Ghaemi

In magic angle twisted bilayer graphene, transport, thermodynamic and spectroscopic experiments pinpoint at a competition between distinct low-energy states with and without electronic order. We use Dynamical Mean Field Theory (DMFT) on the…

Since the discovery of superconductivity and correlated insulator at fractional electron fillings in the twisted bilayer graphene, most theoretical efforts have been focused on describing this system in terms of an effective extended…

Strongly Correlated Electrons · Physics 2019-04-24 Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

Magic-angle twisted bilayer graphene (tBLG) has been studied extensively owing to its wealth of symmetry-broken phases, correlated Chern insulators, orbital magnetism, and superconductivity. In particular, the anomalous Hall effect (AHE)…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Chun-Chih Tseng , Xuetao Ma , Zhaoyu Liu , Kenji Watanabe , Takashi Taniguchi , Jiun-Haw Chu , Matthew Yankowitz

We here classify of all the fully gapped \emph{massive} and \emph{gapless} phases in bilayer graphene. The effective low energy theory in bilayer graphene is constructed, and various discrete and continuous symmetries of the non-interacting…

Strongly Correlated Electrons · Physics 2013-09-18 Bitan Roy

A purely electronic mechanism is proposed for the unconventional superconductivity recently observed in twisted bilayer graphene (tBG) close to the magic angle. Using the Migdal-Eliashberg framework on a one parameter effective lattice…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Maxim Trushin , Oleg P. Sushkov , Giovanni Vignale , Shaffique Adam

Recent exploration of the commensurate structure in the turbostratic double layer graphene shows that the large angle twisting can be treated by the decrease of the effective velocity within the energy spectra of the single layer graphene.…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jozef Bucko , František Herman

We propose a theory for how the weak phonon-mediated interaction ($J_{\rm A}\!=\!1\!\sim\!4$meV) wins over the prohibitive Coulomb repulsion ($U\!=\!30\!\sim\!60$meV) and leads to a superconductor in magic-angle twisted bilayer graphene…

Superconductivity · Physics 2024-10-03 Yi-Jie Wang , Geng-Dong Zhou , Shi-Yu Peng , Biao Lian , Zhi-Da Song

In this article, we review the recent discoveries of exotic phenomena in graphene, especially superconductivity. It has been theoretically suggested for more than one decade that superconductivity may emerge in doped graphene-based…

Superconductivity · Physics 2020-10-28 Yonghuan Chu , Fangduo Zhu , Linzhi Wen , Wanying Chen , Qiaoni Chen , Tianxing Ma

Gutzwiller variational method is applied to an effective two-dimensional Hubbard model to examine the recently proposed gossamer superconductor by Laughlin. The ground state at half filled electron density is a gossamer superconductor for…

Strongly Correlated Electrons · Physics 2009-11-07 F. C. Zhang

We present an infinite density-matrix renormalization group (DMRG) study of an interacting continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the long-range Coulomb interaction and the large number of…

Strongly Correlated Electrons · Physics 2020-11-18 Tomohiro Soejima , Daniel E. Parker , Nick Bultinck , Johannes Hauschild , Michael P. Zaletel

Strong correlations occur in magic-angle twisted bilayer graphene (MATBG) when the octet of flat moir\'e minibands centered on charge neutrality (CN) is partially occupied. The octet consists of a single valence band and a single conduction…

Strongly Correlated Electrons · Physics 2024-10-18 Jihang Zhu , Iacopo Torre , Marco Polini , Allan H. MacDonald

We study the effect of electron-acoustic phonon interactions in twisted bilayer graphene on resistivity in the high-temperature transport and superconductivity in the low-temperature phase diagram. We theoretically show that twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Fengcheng Wu , Euyheon Hwang , Sankar Das Sarma

We perform transport measurements in high quality bilayer graphene pnp junctions with suspended top gates. At a magnetic field B=0, we demonstrate band gap opening by an applied perpendicular electric field, with an On/Off ratio up to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Lei Jing , Jairo Velasco , Philip Kratz , Gang Liu , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

Magic-angle twisted trilayer graphene (MATTG) recently emerged as a highly tunable platform for studying correlated phases of matter, such as correlated insulators and superconductivity. Superconductivity occurs in a range of doping levels…

Recently, symmetry-broken ground states, such as correlated insulating states, magnetic order and superconductivity, have been discovered in twisted bilayer graphene (tBLG) and twisted trilayer graphene (tTLG) near the so-called…

Moir\'e transition metal dichalcogenides have served as a versatile platform for simulating Hubbard physics. Recent experiments have identified robust superconductivity in moir\'e bilayer WSe$_2$ for certain twist angles. Here, we propose…

Strongly Correlated Electrons · Physics 2026-05-19 Hui-Ke Jin , Guangyue Ji , Zhan Wang , Jie Wang , Fu-Chun Zhang