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A number of moir\'e graphene systems have nearly flat topological bands where electron motion is strongly correlated. Though microscopically these systems are only quasiperiodic, they can typically be treated as translation invariant to an…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Dan Mao , T. Senthil

Charge transfer is a common phenomenon in van der Waals heterostructures with proper work function mismatch, which enables electrostatic gating to control band alignment and interlayer charge distributions. This provides a tunable platform…

Strongly Correlated Electrons · Physics 2026-01-16 Yanran Shi , Min Li , Xin Lu , Jianpeng Liu

Many graphene moir\'e superlattices host narrow bands with non-zero valley Chern numbers. We provide analytical and numerical evidence for a robust spin and/or valley polarized insulator at total integer band filling in nearly flat bands of…

Strongly Correlated Electrons · Physics 2020-05-13 Cécile Repellin , Zhihuan Dong , Ya-Hui Zhang , T. Senthil

We investigate low energy excitons in rhombohedral pentalayer graphene encapsulated by hexagonal boron nitride (hBN/R5G/hBN), focusing on the regime at the experimental twist angle $\theta = 0.77^\circ$ and with an applied electric field.…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Henry Davenport , Frank Schindler , Johannes Knolle

Moir\'e superlattices (MSL) formed in angle-aligned bilayers of van der Waals materials have become a promising platform to realize novel two-dimensional electronic states. Angle-aligned trilayer structures can form two sets of MSLs which…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Xiong Huang , Lingxiu Chen , Shujie Tang , Chengxin Jiang , Chen Chen , Huishan Wang , Zhi-Xun Shen , Haomin Wang , Yong-Tao Cui

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…

The supermoir\'e lattice, built by stacking two moir\'e patterns, provides a platform for creating flat mini-bands and studying electron correlations. An ultimate challenge in assembling a graphene supermoir\'e lattice is in the…

Multilayer rhombohedral graphene (RG) has recently emerged as a new, structurally simple flat-band system, which facilitates the exploration of interaction-driven correlation states with highly ordered electron arrangements. Despite a…

Rhombohedral multilayer graphene has emerged as a powerful platform for investigating flat-band-driven correlated phenomena, yet most aspects remain not understood. In this work, we systematically study the moire-dependent band topology in…

Rhombohedral graphene exhibits an exceptionally diverse array of correlated phases that depend sensitively on the displacement field. Compiling reported phases into a unified phase diagram reveals a pronounced field-dependent electron-hole…

Twisted bilayer graphene aligned with hexagonal boron nitride (TBG/hBN) hosts rich topological and correlated quantum phases, such as (fractional) Chern insulators, whose character is dictated by the topology of the moir\'{e} flat band.…

Strongly Correlated Electrons · Physics 2026-05-01 Huiwen Wang , Wei Jiang

We analyze the electronic structure of twisted bilayer graphene (TBG) nanoribbons close to the magic angle. We describe a transition from an incomplete to a complete moir\'e structure. By considering zigzag and armchair edge terminations,…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Elias Andrade , Pierre A. Pantaleón , Francisco Guinea , Gerardo G. Naumis

The propagation of Dirac fermions in graphene through a long-period periodic potential would result in a band folding together with the emergence of a series of cloned Dirac points (DPs). In highly aligned graphene/hexagonal boron nitride…

Most studies on moir\'e superlattices formed from a stack of h-BN and graphene have focused on single layer graphene; graphene with multiple layers is less understood. Here, we show that a moir\'e superlattice of multilayer graphene shows…

Mesoscale and Nanoscale Physics · Physics 2021-04-02 Fumiya Mukai , Kota Horii , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Nearly aligned graphene on hexagonal boron nitride (G/BN) can be accurately modeled by a Dirac Hamiltonian perturbed by smoothly varying moir\'e pattern pseudospin fields. Here, we present the moir\'e-band model of G/BN for arbitrary small…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Jeil Jung , Evan Laksono , Ashley M. DaSilva , Allan H. MacDonald , Marcin Mucha-Kruczyński , Shaffique Adam

Moir\'e superlattices enable engineering of correlated quantum states through tunable periodic potentials, where twist angle controls periodicity but dynamic potential strength modulation remains challenging. Here, we develop a…

Transport experiments in twisted bilayer graphene revealed multiple superconducting domes separated by correlated insulating states. These properties are generally associated with strongly correlated states in a flat mini-band of the…

We have studied the electronic excitation spectrum in periodically rippled graphene on Ru(0001) and flat, commensurate graphene on Ni(111) by means of high-resolution electron energy loss spectroscopy and a combination of density functional…

Mesoscale and Nanoscale Physics · Physics 2017-01-20 Antonio Politano , Guus J. Slotman , Rafael Roldán , Gennaro Chiarello , Davide Campi , Mikhail I. Katsnelson , Shengjun Yuan

The recently observed unconventional ferroelectricity in AB bilayer graphene sandwiched by hexagonal Boron Nitride (hBN) presents a new platform to manipulate correlated phases in multilayered van der Waals heterostructures. We present a…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Ziyan Zhu , Stephen Carr , Qiong Ma , Efthimios Kaxiras

The work presents a study on the quantum theory of periodic graphs applied to mono- and bilayer hexagonal materials. Different parameters associated with the atoms present at the vertices of these materials were analyzed, verifying the…

Mathematical Physics · Physics 2024-05-28 Osmar N. Souza