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Electron correlation effects caused by the topological zero mode of a hydrogenated graphene vacancy, $V_{111}$, with three adsorbed hydrogen atoms is discussed theoretically. A Kondo model is derived from the multi-reference representation…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Naoki Morishita , Gagus Ketut Sunnardianto , Koichi Kusakabe , Isao Maruyama , Kazuyuki Takai , Toshiaki Enoki

In normal metals, the magnetic moment of impurity spins disappears below a characteristic Kondo temperature, TK, where coupling with the conduction-band electrons produces an entangled state that screens the local moment. In contrast,…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Jinhai Mao , Yuhang Jiang , Po-Wei Lo , Daniel May , Guohong Li , Guang-Yu Guo , Frithjof Anders , Takashi Taniguchi , Kenji Watanabe , Eva Y. Andrei

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 show that for magic-angle twisted bilayer graphene (TBG) away from charge neutrality, although quantum Monte Carlo (QMC) simulations suffer from the sign problem, the computational complexity is at most polynomial at certain integer…

Strongly Correlated Electrons · Physics 2023-06-22 Xu Zhang , Gaopei Pan , Bin-Bin Chen , Heqiu Li , Kai Sun , Zi Yang Meng

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay between strong correlations and topological phenomena in two-dimensional systems. The existence of multiple electronic degrees of freedom -- charge, spin,…

Strongly Correlated Electrons · Physics 2021-01-27 Yuan Da Liao , Jian Kang , Clara N. Breiø , Xiao Yan Xu , Han-Qing Wu , Brian M. Andersen , Rafael M. Fernandes , Zi Yang Meng

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

We study a magnetic impurity intercalated in bilayer graphene. A representative configuration generates a hybridization function with strong dependence on the conduction-electron energy, including a full gap with one hard and one soft edge.…

Strongly Correlated Electrons · Physics 2014-07-22 Diego Mastrogiuseppe , Arturo Wong , Kevin Ingersent , Sergio Ulloa , Nancy Sandler

In this work the effects of defects in the superconducting phases of the twisted bilayer graphene (TBG) are investigated. A will-accepted low energy effective model and a non-magnetic impurity potential to mimic defects are employed.…

Superconductivity · Physics 2020-09-08 Hui Yang , Zhi-Qiang Gao , Fa Wang

When one of the graphene layers of Magic Angle Twisted Bilayer Graphene is nearly aligned with its hexagonal boron nitride substrate (a configuration dubbed TBG/hBN), the active electronic bands are nearly flat, and have a Chern number…

Strongly Correlated Electrons · Physics 2019-12-25 Cécile Repellin , T. Senthil

We investigate the effects of single, multiple, and extended defects in the form of non-magnetic impurities and vacancies in twisted bilayer graphene (TBG) at and away from the magic angle, using a fully atomistic model and focusing on the…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 Lucas Baldo , Tomas Löthman , Patric Holmvall , Annica M. Black-Schaffer

The Kondo effect, deriving from a local magnetic impurity mediating electron-electron interactions, constitutes a flourishing basis for understanding a large variety of intricate many-body problems. Its experimental implementation in…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 C. Piquard , P. Glidic , C. Han , A. Aassime , A. Cavanna , U. Gennser , Y. Meir , E. Sela , A. Anthore , F. Pierre

Magic-angle twisted bilayer graphene (TBG), with rotational misalignment close to 1.1$^\circ$, features isolated flat electronic bands that host a rich phase diagram of correlated insulating, superconducting, ferromagnetic, and topological…

The Kondo effect is a cornerstone in the study of strongly correlated fermions. The coherent exchange coupling of conduction electrons to local magnetic moments gives rise to a Kondo cloud that screens the impurity spin. Whereas complete…

A detailed analysis of the Kondo effect of a magnetic impurity in a zigzag graphene nanoribbon is addressed. An adatom is coupled to the graphene nanoribbon via a hybridization amplitude $\Gamma_{imp}$ in a hollow or top site configuration.…

Strongly Correlated Electrons · Physics 2018-04-04 G. S. Diniz , G. I. Luiz , A. Latgé , E. Vernek

Localized magnetic moments have been predicted to develop in graphene samples with vacancies or adsorbates. The interplay between such magnetic impurities and graphene's Dirac quasiparticles leads to remarkable many-body phenomena, which…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 David A. Ruiz-Tijerina , Luis G. G. V. Dias da Silva

We consider the Kondo effect arising from a hydrogen impurity in graphene. As a first approximation, the strong covalent bond to a carbon atom removes that carbon atom without breaking the $C_{3}$ rotation symmetry, and we only retain the…

Strongly Correlated Electrons · Physics 2019-10-02 Zheng Shi , Emilian M. Nica , Ian Affleck

Song and Bernevig (SB) have recently proposed a topological heavy fermion description of the physics of magic angle twisted bilayer graphene (MATBG), involving the hybridization of flat band electrons with a relativistic conduction sea. We…

Strongly Correlated Electrons · Physics 2025-04-29 Liam L. H. Lau , Piers Coleman

Electron-electron interactions play an important role in graphene and related systems and can induce exotic quantum states, especially in a stacked bilayer with a small twist angle. For bilayer graphene where the two layers are twisted by a…

We study the magnetic properties in the vicinity of a single carbon defect in a monolayer of graphene. We include the unbound $\sigma$ orbital and the vacancy induced bound $\pi$ state in an effective two-orbital single impurity model. The…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Daniel May , Po-Wei Lo , Kira Deltenre , Anika Henke , Jinhai Mao , Yuhang Jiang , Guohong Li , Eva Y. Andrei , Guang-Yu Guo , Frithjof B. Anders

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