Quantum Hall Edge Reconstruction:
I am interested in studying edge recinstruction in bosonization language to understand their stability and enffect on different measurements.
Effect of Magnetic field on Graphene:
Due to its very special band structure and topological properties monolayer and few-layer graphene have a lot of interest in the past decade. I am interested in the strong magnetic field limit. We have discovered that for 1/q quantum flux per unitcell there are 2q Dirac points in the non-interacting limit of monolayer Graphene.
Fractional Quantum Hall:
The fraction Quantum Hall Effect in Graphene have many interesting results which are not well understood specifically ν=2/3,5/3 etc. I am interested in understanding the bulk states that minimizes the energy in the composite fermion picture.
Three band models and line of degeneracy:
It has been shown recently that there is a paradigm beyond Dirac and Weyl semi-metal and they cannot be categorised using the same methods (Nexus Fermion). I am trying to workout a more general mathematical object that can classify this bands.
Renormalization Group analysis:
I am interested in Renormalization group and understanding RG flow for large emergent gauge theories.
