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Title: Breaking of Symmetry in Graphene Growth on Metal Substrates

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 11; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Artyukhov, Vasilii I., Hao, Yufeng, Ruoff, Rodney S., and Yakobson, Boris I. Breaking of Symmetry in Graphene Growth on Metal Substrates. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.115502.
Artyukhov, Vasilii I., Hao, Yufeng, Ruoff, Rodney S., & Yakobson, Boris I. Breaking of Symmetry in Graphene Growth on Metal Substrates. United States. doi:10.1103/PhysRevLett.114.115502.
Artyukhov, Vasilii I., Hao, Yufeng, Ruoff, Rodney S., and Yakobson, Boris I. 2015. "Breaking of Symmetry in Graphene Growth on Metal Substrates". United States. doi:10.1103/PhysRevLett.114.115502.
title = {Breaking of Symmetry in Graphene Growth on Metal Substrates},
author = {Artyukhov, Vasilii I. and Hao, Yufeng and Ruoff, Rodney S. and Yakobson, Boris I.},
abstractNote = {},
doi = {10.1103/PhysRevLett.114.115502},
journal = {Physical Review Letters},
number = 11,
volume = 114,
place = {United States},
year = 2015,
month = 3

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.114.115502

Citation Metrics:
Cited by: 24works
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  • Research Highlights: > Monolayer graphene is treated by strong coupling expansion of lattice gauge theory. > Spontaneous gap generation is shown in the strong coupling regime. > Results from compact and non-compact gauge formulations are compared. > Dispersion relation of the collective excitations are derived. - Abstract: Due to effective enhancement of the Coulomb coupling strength in the vacuum-suspended graphene, the system may turn from a semimetal into an insulator by the formation of a gap in the fermionic spectrum. This phenomenon is analogous to the spontaneous breaking of chiral symmetry in the strong-coupling relativistic field theories. We study thismore » 'chiral symmetry breaking' and associated collective excitations on graphene in the strong coupling regime by taking U(1) lattice gauge theory as an effective model for graphene. Both compact and non-compact formulations of the U(1) gauge action show chiral symmetry breaking with equal magnitude of the chiral condensate (exciton condensate) in the strong coupling limit, while they start to deviate from the next-to-leading order in the strong coupling expansion. Phase and amplitude fluctuations of the order parameter are also investigated: in particular, a mass formula for the pseudo-Nambu-Goldstone mode ({pi}-exciton), which is analogous to Gell-Mann-Oakes-Renner relation for the pion in quantum chromodynamics (QCD), is derived from the axial Ward-Takahashi identity. To check the applicability of the effective field theory description, typical energy scales of fermionic and bosonic excitations are estimated by identifying the lattice spacing of the U(1) gauge theory with that of the original honeycomb lattice of graphene.« less