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2011

Fermi point in graphene as a monopole in momentum space

Zubkov, M . A.

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We consider the effective field theory of graphene monolayer with the Coulomb interaction between fermions taken into account.

The gauge field in momentum space is introduced.
The position of the Fermi point coincides with the position of the corresponding monopole.
The procedure of extracting such monopoles during lattice simulations is suggested.

Fermi point in graphene as a monopole in momentum space · Around

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Then

Joaquin E. Drut, Timo A. Lahde, Lattice field theory simulations of graphene, Phys. Rev. B 79, 165425 (2009), arXiv:0901.0584
Original
2009
Later among the works it cites.
G.E. Volovik, Topological invariants for Standard Model: from semi-metal to topological insulator, Pis’ma ZhETF 91
Original
2010
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Wes Armour, Simon Hands, Costas Strouthos, Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene, Phys.Rev.B81:125105,2010, arXiv:0910.5646
Original
2010
Later among the works it cites.
Yasufumi Araki, Chiral Symmetry Breaking in Monolayer Graphene by Strong Coupling Expansion of Compact and Non-compact U(1) Lattice Gauge Theories, Annals Phys.326:1408-1424,2011, arXiv:1010.0847
Original
2011
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