Magnetic Catalysis in Graphene

Understand

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene.

• A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many interesting electronic properties, most notably that the low energy excitations behave as massless Dirac fermions.
• These excitations interact strongly via the Coulomb interaction and thus non-perturbative methods are necessary.
• Using methods borrowed from lattice QCD, we study the graphene effective theory in the presence of an external magnetic field.