In spite of its experimental existence in 2D, what is behind it to refuse this theory?
Graphene is not quite two-dimensional.
See for example this article: A.O 'Hare et al., Nano Lett. 12, 1045 (2012)
Article A Stable "Flat" Form of Two-Dimensional Crystals: Could Grap...
A suspended sheet is Graphene has ripples which suppress the thermal fluctuations, making it stable.
For more information refer:
http://arxiv.org/abs/0704.1793
https://www.researchgate.net/publication/5953384_Intrinsic_ripples_in_graphene?ev=prf_pub
Article Intrinsic ripples in graphene
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