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Related papers: Layer-Dependent Orbital Magnetization in Graphene-…

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We present a theoretical study on the orbital magnetism in multilayer graphenes within the effective mass approximation. The Hamiltonian and thus susceptibility can be decomposed into contributions from sub-systems equivalent to monolayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino , Tsuneya Ando

The recent discovery of superconductivity and magnetism in trilayer rhombohedral graphene (RG) establishes an ideal, untwisted platform to study strong correlation electronic phenomena. However, the correlated effects in multilayer RG have…

Motivated by recent theoretical and experimental works on orbital magnetization $M_{\mathrm{orb}}$ for the interacting system, we develop a gauge-invariant framework to compute $M_{\mathrm{orb}}$ for correlated phases of magic-angle twisted…

Strongly Correlated Electrons · Physics 2026-04-20 Pinzhuo Li , Kun Jiang , Ziqiang Wang , Jian Kang , Yi Zhang

Rhombohedral multilayer graphene has emerged as an extraordinary platform for investigating exotic quantum states, such as superconductivity and fractional quantum anomalous Hall effects, mainly due to the existence of topological surface…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 H. B. Xiao , C. Chen , X. Sui , S. H. Zhang , M. Z. Sun , H. Gao , Q. Jiang , Q. Li , L. X. Yang , M. Ye , F. Y. Zhu , M. X. Wang , J. P. Liu , Z. B. Zhang , Z. J. Wang , Y. L. Chen , K. H. Liu , Z. K. Liu

In Bernal-stacked bilayer graphene (BBG), the Landau levels give rise to an intimate connection between valley and layer degrees of freedom. Adding a moir\'e superlattice potential enriches the BBG physics with the formation of topological…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Yungi Jeong , Hangyeol Park , Taeho Kim , Kenji Watanabe , Takashi Taniguchi , Jeil Jung , Joonho Jang

Rhombohedral graphene (RG) has emerged as a promising platform for exploring exotic quantum phenomena, such as quantum magnetism, unconventional superconductivity, and fractional quantum anomalous Hall effects. Despite its potential,…

Compared to monolayer graphene, electrons in Bernal-stacked bilayer graphene (BLG) have an additional layer degree of freedom, offering a platform for developing {\it layered spintronics} with the help of proximity-induced magnetism. Based…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Xuechao Zhai , Yaroslav M. Blanter

Twisted van der Waals heterostructures with flat electronic bands have recently emerged as a platform for realizing correlated and topological states with an extraordinary degree of control and tunability. In graphene-based moir\'e…

Electron doped rhombohedral multilayer graphene at high displacement field features an exceptionally flat band minimum with near-ideal quantum geometry. Experiments in this regime observe the formation of a 'quarter metal,' in which the…

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

We show that rhombohedral four-layer graphene (4LG) nearly aligned with a hexagonal boron nitride (hBN) substrate often develops nearly flat isolated low energy bands with non-zero valley Chern numbers. The bandwidths of the isolated…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Youngju Park , Yeonju Kim , Bheema Lingam Chittari , Jeil Jung

The topological electronic structure of crystalline materials often gives rise to intriguing surface states, such as Dirac surface states in topological insulators, Fermi arc surface states in Dirac semimetals, and topological…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Wenqiang Zhou , Jing Ding , Jiannan Hua , Le Zhang , Kenji Watanabe , Takashi Taniguchi , Wei Zhu , Shuigang Xu

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

We investigate the orbital diamagnetism of a weak-doped bilayer graphene (BLG) in spatially smoothly varying magnetic field and obtain the general analytic expression of the orbital susceptibility of BLG, with finite wave number and Fermi…

Strongly Correlated Electrons · Physics 2015-03-17 Min Lv , Shaolong Wan

Rhombohedral graphene (rG) aligned with hexagonal boron nitride (hBN) has been shown to host flat bands that stabilize various strongly correlated quantum phases, including Mott insulators, integer, and fractional quantum anomalous Hall…

Rhombohedral multilayer graphene has emerged as a promising platform for exploring correlated and topological quantum phases, enabled by its Berry-curvature-bearing flat bands. While prior work has focused on separated conduction and…

Strongly Correlated Electrons · Physics 2026-03-04 Jinghao Deng , Jiabin Xie , Hongyuan Li , Takashi Taniguchi , Kenji Watanabe , Jie Shan , Kin Fai Mak , Xiaomeng Liu

We investigate the occurrence of magnetic and charge density wave instabilities in rhombohedral-stacked multilayer (three to eight layers) graphene by first principles calculations including exact exchange. Neglecting spin-polarization, an…

Materials Science · Physics 2017-03-07 Betül Pamuk , Jacopo Baima , Francesco Mauri , Matteo Calandra

Quantum geometry of electronic wavefunctions results in fascinating topological phenomena. A prominent example is the intrinsic anomalous Hall effect (AHE) in which a Hall voltage arises in the absence of an applied magnetic field. The AHE…

We investigate the band structure of twisted monolayer-bilayer graphene (tMBG), or twisted graphene on bilayer graphene (tGBG), as a function of twist angles and perpendicular electric fields in search of optimum conditions for achieving…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Youngju Park , Bheema Lingam Chittari , Jeil Jung

Magneto-electric coupling enables the manipulation of magnetization by electric fields and vice versa. While typically found in heavy element materials with large spin-orbit coupling, recent experiments on rhombohedral-stacked pentalayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Jin-Xin Hu , Justin C. W. Song
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