Thin ribbons of graphene have been observed to conduct electricity in steps owing to quantum effects
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References
Lin, Y.-M. Perebeinos, V. Chen, Z. & Avouris, P. Conductance quantization in graphene nanoribbons. Preprint at http://arxiv.org/abs/0805.0035 (2008).
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Reid, T. Quantum conductors. Nature Nanotech (2008). https://doi.org/10.1038/nnano.2008.169
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DOI: https://doi.org/10.1038/nnano.2008.169