Fermi point in graphene as a monopole in momentum space

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.

Latex, 12 pages

References in corpus (5)

• The electronic properties of graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Lattice field theory simulations of graphene
• Dynamics in the quantum Hall effect and the phase diagram of graphene

Cited by in corpus (4)

• Momentum space topological invariants for the 4D relativistic vacua with mass gap
• Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
• Green functions in graphene monolayer with Coulomb interactions taken into account
• Momentum space topology in the lattice gauge theory