Two-dimensional graphite could be useful in carbon-based electronic devices. How electrons move in these structures seems best described by relativistic quantum physics, modelling them as if they have no mass at all.
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Kane, C. Erasing electron mass. Nature 438, 168–170 (2005). https://doi.org/10.1038/438168a
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DOI: https://doi.org/10.1038/438168a