We show a spontaneous breaking of the chiral symmetry and its restoration in monolayer graphene, by considering the system as a strongly coupled gauge theory. The chiral (sublattice) symmetry of monolayer graphene, which is spontaneously broken in the strong coupling limit of the Coulomb interaction, can be restored by introducing the Kekulé-patterned lattice distortion externally. We investigate such a behavior of the system analytically, by using the techniques of strong coupling expansion on the lattice gauge theory model, which preserves the original honeycomb lattice structure. We discuss the relation between the chiral phase transition and the spectral gap amplitude, and show the modification of the dispersion relation of the electrons/holes from that of non-interacting fermions.
|Journal||Proceedings of Science|
|Publication status||Published - 2011 Jan 1|
|Event||29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States|
Duration: 2011 Jul 10 → 2011 Jul 16
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