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Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

A model for two-dimensional electronic, photonic, and mechanical metamaterial systems is presented, which has flat one-dimensional zero-mode energy bands and stable localized states of a topological origin confined within twin boundaries,…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Linghua Zhu , Emil Prodan , Keun Hyuk Ahn

Flat bands in graphitic materials emerged as a platform for realizing tunable correlated physics. As a nodal-line semimetal, rhombohedral graphite features flat drumhead surface states in the vicinity of the Dirac points, which carry a…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Xiaoqian Liu , Yifei Guan , Oleg V. Yazyev

Rhombohedral multilayer graphene has recently emerged as a rich platform for studying correlation driven magnetic, topological and superconducting states. While most experimental efforts have focused on devices with N$\leq 9$ layers, the…

Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic…

Strongly Correlated Electrons · Physics 2013-04-10 Hao Wang , Jin-Hua Gao , Fu-Chun Zhang

Flat bands and nontrivial topological physics are two important topics of condensed matter physics. With a unique stacking configuration analogous to the Su-Schrieffer-Heeger (SSH) model, rhombohedral graphite (RG) is a potential candidate…

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

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

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

We show that the topologically protected flat band emerging on a surface of a nodal fermionic system promotes the surface superconductivity due to an infinitely large density of states associated with the flat band. The critical temperature…

Superconductivity · Physics 2015-05-27 N. B. Kopnin , T. T. Heikkilä , G. E. Volovik

In crystalline solids the interactions of charge and spin can result in a variety of emergent quantum ground states, especially in partially filled, topological flat bands such as Landau levels or in 'magic-angle' bilayer graphene. Much…

Using the tight-binding model of graphite, incorporating all Slonczewski-Weiss-McClure parameters, we compute the spectrum of two-dimensional states of electrons bound to a stacking fault in Bernal graphite. We find that those bands retain…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Patrick Johansen Sarsfield , Sergey Slizovskiy , Mikito Koshino , Vladimir Fal'ko

We study the electronic structure of multilayer graphenes with a mixture of Bernal and rhombohedral stacking and propose a general scheme to understand the electronic band structure of an arbitrary configuration. The system can be viewed as…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mikito Koshino , Edward McCann

Superconductivity is traditionally viewed as a low-temperature phenomenon. Within the BCS theory this is understood to result from the fact that the pairing of electrons takes place only close to the usually two-dimensional Fermi surface…

Materials Science · Physics 2017-11-22 Tero T. Heikkila , Grigori E. Volovik

Flat-bands play a central role in the presence of correlated phases in Moir\'e and other modulated two dimensional systems. In this work, flat-bands are shown to exist in uniaxially periodic strained graphene. Such strain should be produced…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Elias Andrade , Florentino López-Urías , Gerardo G. Naumis

The discovery of correlated phases in twisted moir\'e superlattices accelerated the search for low-dimensional materials with exotic properties. A promising approach uses engineered substrates to strain the material. However, designing…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Md Tareq Mahmud , Dawei Zhai , Nancy Sandler

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 bilayer graphene in the presence of a 2D superlattice potential provides a highly tunable setup that can realize a variety of flat band phenomena. We focus on two regimes: (i) topological flat bands with non-zero Chern numbers,…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Sayed Ali Akbar Ghorashi , Aaron Dunbrack , Ahmed Abouelkomsan , Jiacheng Sun , Xu Du , Jennifer Cano

Low-energy electronic behavior in graphite crystals is highly dependent on the relative stacking arrangement of the constituent layers. Topologically non-trivial electronic states can arise due to interrupted rhombohedral (ABC) stacking,…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Luke Soneji , Simon Crampin , Marcin Mucha-Kruczynski

Moir\'e materials host a wealth of intertwined correlated and topological states of matter, all arising from flat electronic bands with nontrivial quantum geometry. A prominent example is the family of alternating-twist magic-angle graphene…

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