Application of Schramm-Loewner Evvolution in ungated graphene

In this paper the iso-line contoures of mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electron interaction on equal footing. The results show that graphene system lies within κ=1.8 SLE class which is compatible with c=-3CFT.