A 36-ring zeolite with intrinsic cylindrical mesopores - Science | AAAS

MainLight propagation in homogeneous media is strongly constrained by momentum conservation1. As a consequence, scattered photons cannot easily change direction unless the material provides the required spatial frequencies. In the linear regime, this means that light cannot simply ‘turn a corner’: without abrupt edges, gratings or disorder, backward-directed scattering remains strongly suppressed. This fundamental limitation shapes not only our intuition about how light interacts with matter, but also the design of optical instruments that seek to collect scattered photons efficiently, particularly in settings where only same-side access is available. Nonlinear optical interactions obey a more flexible form of momentum conservation2. By combining the wavevectors of multiple optical fields, they open scattering pathways that are strictly forbidden in the linear regime. Remarkably, this enables coherent photons to be redirected around a corner even in a perfectly homogeneous medium3.

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The only thing we can be sure of about the future is that it will be absolutely fantastic. If what I say seems reasonable to you, then I have failed completely, declared Arthur C. Clarke back in 1964 on the BBC. In the legendary BBC Horizon documentaries more than 60 years ago, Clarke made several predictions—including some about the Internet that proved uncannily accurate.

AcknowledgementsThe authors thank UCLA's Institute for Digital Research and Education (IDRE), Michigan Technological University's MRI computing clusters, and the National Energy Research Scientific Computing Center (NERSC) for providing computational resources. The authors thank Abhishek Keripale for assistance with the development of later versions of the CrFeCoNi machine-learning models. The authors used GPT-5 (OpenAI) for language editing and proofreading and subsequently reviewed and edited all content. FundingThis work was primarily supported by the U. S. Department of Energy (DOE), Office of Science, Basic Energy Sciences (BES), under Award DE-SC0023432, which provided primary support for the overall project conception and integrated KS-DFT–ML investigations. The University of California National Laboratory Fees Research Program under Grant L25CR9003 supported data generation and post-processing at UCLA (ASB). The National Science Foundation under Award 2442313 supported data-pruning and dimensionality analyses at Michigan Technological University (SG, SH). This research also used resources of the National Energy Research Scientific Computing Center (NERSC), a U. S.

We’re sharing this article early to provide faster access to peer-reviewed, accepted research. It is citable and carries a permanent DOI. This version is subject to further edits and will be replaced automatically by the final Version of Record. All legal disclaimers apply. AbstractKagome superconductors AV3Sb5 (A = Cs, K, Rb) host intertwined orders arising from electronic correlations and lattice geometry, but the nature of the high-temperature electronic state from which these phases emerge remains poorly understood. Although numerous experiments have reported rotational symmetry breaking, it is still intensely debated whether this may be a simple consequence of the symmetry of the underlying 2  × 2 charge density wave (CDW) or an entirely different mechanism. Here we use spectroscopic imaging scanning tunneling microscopy to track the evolution of electronic structure in CsV3Sb5 as the CDW is intentionally suppressed through two distinct chemical substitution routes—Sn on the Sb site and Ti on the V site.