Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions

Understand

We report on the properties of incompressible states of Dirac fermions in graphene in the presence of anisotropic interactions and a quantizing magnetic field.

• We introduce the necessary formalism to incorporate the anisotropy in the system.
• The incopmpressible state in graphene is found to survive the anisotropy upto a critical value of the anisotropy parameter.
• The anisotropy also introduces two branches in the collective excitations of the corresponding Laughlin state.