Optically Forged Diffraction-Unlimited Ripples in Graphene
Pekka Koskinen, Karoliina Karppinen, Pasi Myllyperki\"o, Vesa-Matti, Hiltunen, Andreas Johansson, and Mika Pettersson

TL;DR
This paper introduces an optical method to create nanostructures in graphene that surpass the traditional diffraction limit, enabling precise control over features at the nanoscale for advanced applications.
Contribution
The work demonstrates a novel optical forging technique that produces diffraction-unlimited ripples in graphene, expanding capabilities in nanofabrication of 2D materials.
Findings
Ripples with features smaller than diffraction limit achieved
Simulation shows interplay of adhesion, strain, symmetry causes ripple formation
Technique enables precise shaping of graphene for nano-optics applications
Abstract
In nanofabrication, just as in any other craft, the scale of spatial details is limited by the dimensions of the tool at hand. For example, the smallest details for direct laser writing with far-field light are set by the diffraction limit, which is approximately half of the used wavelength. In this work, we overcome this universal assertion by optically forging graphene ripples that show features with dimensions unlimited by diffraction. Thin sheet elasticity simulations suggest that the scaled-down ripples originate from the interplay between substrate adhesion, in-plane strain, and circular symmetry. The optical forging technique thus offers an accurate way to modify and shape two-dimensional materials and facilitates the creation of controllable nanostructures for plasmonics, resonators, and nano-optics.
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