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Quantitative determination of twist angle and strain in Van der Waals moir\'e superlattices

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arxiv 2406.08681 v1 pith:RUBOBRMU submitted 2024-06-12 cond-mat.mtrl-sci cond-mat.mes-hall

Quantitative determination of twist angle and strain in Van der Waals moir\'e superlattices

classification cond-mat.mtrl-sci cond-mat.mes-hall
keywords probeerrorsextractinglatticemoirscanningvectorsless
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Scanning probe techniques are popular, non-destructive ways to visualize the real space structure of Van der Waals moir\'es. The high lateral spatial resolution provided by these techniques enables extracting the moir\'e lattice vectors from a scanning probe image. We have found that the extracted values, while precise, are not necessarily accurate. Scan-to-scan variations in the behavior of the piezos which drive the scanning probe, and thermally-driven slow relative drift between probe and sample, produce systematic errors in the extraction of lattice vectors. In this Letter, we identify the errors and provide a protocol to correct for them. Applying this protocol to an ensemble of ten successive scans of near-magic-angle twisted bilayer graphene, we are able to reduce our errors in extracting lattice vectors to less than 1%. This translates to extracting twist angles with a statistical uncertainty less than 0.001{\deg} and uniaxial heterostrain with uncertainty on the order of 0.002%.

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