Absence of dynamical gap generation in suspended graphene

Details Absence of dynamical gap generation in suspended graphene Absence of dynamical gap generation in suspended graphene

2012-02-05

arxiv.org/abs/1202.1014v2

New J. Phys. 14, 043036 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 5 figures, 1 table

Scientific paper

There is an interesting proposal that the long-range Coulomb interaction in suspended graphene can generate a dynamical gap, which leads to a semimetal-insulator phase transition. We revisit this problem by solving the self-consistent Dyson-Schwinger equations of wave function renormalization and fermion gap. In order to satisfy the Ward identity, a suitable vertex function is introduced. The impacts of singular velocity renormalization and dynamical screening on gap generation are both included in this formalism, and prove to be very important. We obtain a critical interaction strength, $3.2 < \alpha_{c} < 3.3$, which is larger than the physical value $\alpha = 2.16$ for suspended graphene. It therefore turns out that suspended graphene is a semimetal, rather than insulator, at zero temperature.

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