Chiral symmetry of graphene and strong coupling lattice gauge theory

Details Chiral symmetry of graphene and strong coupling lattice gauge theory Chiral symmetry of graphene and strong coupling lattice gauge theory

2010-10-28

arxiv.org/abs/1010.5876v1

PoS Lattice2010:045,2010

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 2 figures; presented at 28th International Symposium on Lattice Field Theory, Lattice2010, June 14-19, 2010, Villasim

Scientific paper

We model the electrons on a monolayer graphene in terms of the compact and non-compact U(1) lattice gauge theories. The system is analyzed by the strong coupling expansion and is shown to be an insulator due to dynamical gap formation in/around the strong coupling limit. This is similar to the spontaneous chiral symmetry breaking in strong coupling gauge theories. The results from the compact and non-compact formulations are compared up to the next-to-leading order of the strong coupling expansion. Excitonic modes and their dispersion relations in the insulating phase are also investigated: it is found that there arises a pseudo-Nambu--Goldstone mode obeying the Gell-Mann--Oakes--Renner type formula.

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