Quantum critical scaling in graphene

Details Quantum critical scaling in graphene Quantum critical scaling in graphene

2007-07-19

arxiv.org/abs/0707.2945v3

Phys. Rev. Lett. 99, 226803 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures. Published version

Scientific paper

We show that the emergent relativistic symmetry of electrons in graphene near its quantum critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive scaling laws, valid near the QCP, that dictate the nontrivial magnetic and charge response of interacting graphene. Our analysis yields numerous predictions for how the Coulomb interaction will be manifested in experimental observables such as the diamagnetic response and electronic compressibility.

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