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Bose-Einstein condensates subjected to modulation of the interaction between atoms exhibit the emergence of density waves and matter-wave jets with a velocity proportional to the square root of the modulation frequency. In the newly published paper, the authors present the experimental observation of higher-order incommensurable “golden” matter-wave jets emerging from a Bose-Einstein condensate exposed to a single frequency interaction modulation. The formation of higher-order jets in quasi-one-dimensional geometry is modelled using numerical one-dimensional (1D) Gross-Pitaevskii equation simulation. The authors explore the process of jet formation experimentally and theoretically for a wide range of modulation amplitudes and frequencies and establish a phase diagram delineating different regimes of jet formation.

DOI: https://doi.org/10.1038/s42005-025-01937-1

Using scanning tunneling microscopy and spectroscopy we demonstrate a revival of magnetism in 7-armchair nanoribbon by unpassivated atoms at the termini. Namely, a pair of intense Kondo resonances emerges at the peripheries of zigzag terminus revealing the many-body screening effects of local magnetic moments. Although Kondo resonance originates from a missing local orbital, it extends to a distance of 2.5 nm along the edge of the ribbon. The results are complemented by density functional theory calculations which suggest a possible coupling between Kondo states despite screening effects of substrate electrons. These findings indicate a possibility to restore intrinsic magnetic ordering in graphene nanoribbon without major structural modifications

DOI: https://doi.org/10.1038/s41598-024-62624-9