In fewer than three dimensions, the behaviour of electrons in metals should change to that of a 'Tomonaga–Luttinger liquid'. A photoemission study of one-dimensional carbon nanotubes supports this prediction.
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Bockrath, M. Illuminating behaviour. Nature 426, 511–512 (2003). https://doi.org/10.1038/426511a
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DOI: https://doi.org/10.1038/426511a