Field-Induced Kosterlitz-Thouless Transition in theN=0Landau Level of Graphene

Kentaro Nomura, Shinsei Ryu, Dung-Hai Lee
2009 Physical Review Letters  
At the charge neutral point, graphene exhibits a very unusual high resistance metallic state and a transition to a complete insulating phase in a strong magnetic field. We propose that the current carriers in this state are the charged vortices of the XY valley pseudospin order-parameter, a situation which is dual to a conventional thin superconducting film. We study energetics and the stability of this phase in the presence of disorder.
doi:10.1103/physrevlett.103.216801 pmid:20366059 fatcat:ha7wv3cifvcqdpmx6rvvjbpamy