Magnetic Bloch States at Integer Flux Quanta Induced by Super-moiré Potential in Graphene Aligned with Twisted Boron Nitride
arXiv:2502.07283 · doi:10.1038/s41467-025-57111-2
Abstract
Two-dimensional electron systems in both magnetic fields and periodic potentials are described by Hofstadter butterfly, a fundamental problem of solid-state physics. While moiré systems provide a powerful method to realize this spectrum, previous experiments, however, have been limited to fractional flux quanta regime due to the difficulty of building ~ 50 nm periodic modulations. Here, we demonstrate a super-moiré strategy to overcome this challenge. By aligning monolayer graphene (G) with 1.0° twisted hexagonal boron nitride (t-hBN), a 63.2 nm bichromatic G/t-hBN super-moiré is constructed, made possible by exploiting the electrostatic nature of t-hBN potential. Under magnetic field B, magnetic Bloch states at integer flux quanta (1-9) are achieved and observed as integer Brown-Zak oscillations, expanding the flux quanta from factions to integers. Theoretical analysis reproduces these experimental findings. This work opens new avenues to study unexplored Hofstadter butterfly, explore emergent topological order at integer flux quanta and engineer long-wavelength periodic modulations.
arXiv comment15 pages, 4 figures
References in corpus (46)
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Cloning of Dirac fermions in graphene superlattices
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
- Interfacial Ferroelectricity by van-der-Waals Sliding
- Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
- Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
- Mapping the twist angle and unconventional Landau levels in magic angle graphene
- Charge-polarized interfacial superlattices in marginally twisted hexagonal boron nitride
- Observation of fractional Chern insulators in a van der Waals heterostructure
- Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
- Electronic properties of graphene hexagonal boron nitride moiré superlattice
- Band Structure Engineering of 2D Materials using Patterned Dielectric Superlattices
- Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
- High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices
- Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices
- Transport through a network of topological states in twisted bilayer graphene
- Twisted Trilayer Graphene: a Precisely Tunable Platform for Correlated Electrons
- New generation of moiré superlattices in doubly aligned hBN/graphene/hBN heterostructures
- In situ twistronics of van der Waals heterostructures
- Composite super-moiré lattices in double aligned graphene heterostructures
- Programming moiré patterns in 2D materials by bending
- Giant oscillations in a triangular network of one-dimensional states in marginally twisted graphene
- Hofstadter Topology: Non-crystalline Topological Materials at High Flux
- High-order fractal states in graphene superlattices
- Landau levels in twisted bilayer graphene and semiclassical orbits
- Multiple Flat Bands and Topological Hofstadter Butterfly in Twisted Bilayer Graphene Close to the Second Magic Angle
- Double moiré with a twist: super-moiré in encapsulated graphene
- Universal superlattice potential for 2D materials from twisted interface inside h-BN substrate
- Moiré of Moiré: Modeling Mechanical Relaxation in Incommensurate Trilayer van der Waals Heterostructures
- Dirac edges of fractal magnetic minibands in graphene with hexagonal moire superlattices
- Reentrant Correlated Insulators in Twisted Bilayer Graphene at 25T ( Flux)
- Brown-Zak and Weiss oscillations in a gate-tunable graphene superlattice: A unified picture of miniband conductivity
- Interferences of electrostatic moiré potentials and bichromatic superlattices of electrons and excitons in transition metal dichalcogenides
- Imaging graphene moiré superlattices via scanning Kelvin probe microscopy
- Band structure engineering using a moiré polar substrate
- Enhanced electron-phonon coupling in doubly aligned hexagonal boron nitride bilayer graphene heterostructure
- Controlled alignment of supermoiré lattice in double-aligned graphene heterostructures
- Classification of Topological Phase Transitions and van Hove Singularity Steering Mechanism in Graphene Superlattices
- Commensurate and incommensurate double moiré interference in twisted trilayer graphene
- Helical trilayer graphene: a moiré platform for strongly-interacting topological bands
- Engineering band structures of two-dimensional materials with remote moire ferroelectricity
- Topological Flat Bands in Graphene Super-moiré Lattices
- Higher-order Bragg gaps in the electronic band structure of bilayer graphene renormalized by recursive supermoiré potential
- Heteromoiré Engineering on Magnetic Bloch Transport in Twisted Graphene Superlattices
- Highly tunable moiré superlattice potentials in twisted hexagonal boron nitrides