Fermi point in graphene as a monopole in momentum space
M .A. Zubkov
TL;DR
This paper explores the effective field theory of graphene, revealing that the Fermi point acts as a monopole in momentum space, and proposes a method to identify these monopoles in lattice simulations.
Contribution
It introduces a gauge field in momentum space for graphene and links the Fermi point to a monopole, providing a new approach for lattice simulation analysis.
Findings
Fermi point coincides with a monopole in momentum space
A procedure for extracting monopoles in lattice simulations is proposed
The Coulomb interaction is incorporated into the effective field theory
Abstract
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.
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