Considerations for extracting moiré-level strain from dark field intensities in transmission electron microscopy
arXiv:2406.04515 · doi:10.1063/5.0222102
Abstract
Bragg interferometry (BI) is an imaging technique based on four-dimensional scanning electron microscopy (4D-STEM) wherein the intensities of select overlapping Bragg disks are fit or more qualitatively analyzed in the context of simple trigonometric equations to determine local stacking order. In 4D-STEM based approaches, the collection of full diffraction patterns at each real-space position of the scanning probe allows the use of precise virtual apertures much smaller and more variable in shape than those used in conventional dark field imaging, such that even buried interfaces marginally twisted from other layers can be targeted. A coarse-grained form of dark field ptychography, BI uses simple physically derived fitting functions to extract the average structure within the illumination region and is therefore viable over large fields of view. BI has shown a particular advantage for selectively investigating the interlayer stacking and associated moiré reconstruction of bilayer interfaces within complex multi-layered structures. This has enabled investigation of reconstruction and substrate effects in bilayers through encapsulating hexagonal boron nitride and of select bilayer interfaces within trilayer stacks. However, the technique can be improved to provide a greater spatial resolution and probe a wider range of twisted structures, for which current limitations on acquisition parameters can lead to large illumination regions and the computationally involved post-processing can fail. Here we analyze these limitations and the computational processing in greater depth, presenting a few methods for improvement over previous works, discussing potential areas for further expansion, and illustrating the current capabilities of this approach for extracting moiré-scale strain.
arXiv comment10 pages, 5 figures
References in corpus (49)
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Moiré Excitons in Van der Waals Heterostructures
- Signatures of moiré-trapped valley excitons in MoSe/WSe heterobilayers
- Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
- Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
- Magic continuum in twisted bilayer WSe2
- Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructures
- Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene
- Observation of Fractionally Quantized Anomalous Hall Effect
- Abundance of correlated insulating states at fractional fillings of WSe/WS moiré superlattices
- Moiré heterostructures as a condensed matter quantum simulator
- Quantum anomalous Hall effect from intertwined moiré bands
- Colloquium: Quantum anomalous Hall effect
- Ultraflat bands and shear solitons in Moiré patterns of twisted bilayer transition metal dichalcogenides
- Atomic reconstruction in twisted bilayers of transition metal dichalcogenides
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- py4DSTEM: a software package for multimodal analysis of four-dimensional scanning transmission electron microscopy datasets
- Correlated Insulating States at Fractional Fillings of the WS2/WSe2 Moiré Lattice
- Atomic reconstruction and moiré patterns in transition metal dichalcogenide van der Waals heterostructures
- Strain fields in twisted bilayer graphene
- Deep moiré potentials in twisted transition metal dichalcogenide bilayers
- Imaging moiré flat bands in 3D reconstructed WSe2/WS2 superlattices
- Fractional fractal quantum Hall effect in graphene superlattices
- Stacking domains and dislocation networks in marginally twisted bilayers of transition metal dichalcogenides
- A Geometric Analysis of Phase Retrieval
- Moiré Intralayer Excitons in a MoSe/MoS Heterostructure
- Tunable bilayer Hubbard model physics in twisted WSe2
- High resolution three dimensional structural microscopy by single angle Bragg ptychography
- Quantum Phase Diagram of a Moiré-Hubbard Model
- Lattice reconstruction induced multiple ultra-flat bands in twisted bilayer WSe2
- Patterned Probes for High Precision 4D-STEM Bragg Measurements
- Origin and Evolution of Ultraflatbands in Twisted Bilayer Transition Metal Dichalcogenides: Realization of Triangular Quantum Dot Array
- Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe/WSe Heterobilayers
- Moiré Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride
- Hyperspectral imaging of excitons within a moiré unit-cell with a sub-nanometer electron probe
- Lattice strain measurement of core@shell electrocatalysts with 4D-STEM nanobeam electron diffraction
- Rotational and Dilational Reconstruction in Transition Metal Dichalcogenide Moiré Bilayers
- Local atomic stacking and symmetry in twisted graphene trilayers
- Torsional Periodic Lattice Distortions and Diffraction of Twisted 2D Materials
- Band energy landscapes in twisted homobilayers of transition metal dichalcogenides
- Convergent beam electron holography for analysis of van der Waals heterostructures
- Interferometric 4D-STEM for Lattice Distortion and Interlayer Spacing Measurements in Bilayer and Trilayer Two-dimensional Materials
- Quantum Hall spin liquids and their possible realization in moiré systems
- Convergent beam electron diffraction of multilayer van der Waals structures
- Holographic reconstruction of the interlayer distance of bilayer two-dimensional crystal samples from their convergent beam electron diffraction patterns
- Tuning the convergence angle for optimum STEM performance
- Holographic convergent electron beam diffraction (CBED) imaging of two-dimensional crystals