The effect of the frozen and pinned surface approximations on the   spatial distribution of incompressible and compressible strips in quantum   Hall regime
  Pinned surface and frozen surface approximations are two commonly used approximations for the boundary conditions at the exposed surfaces of semiconductor structures. We have studied the effect of pinned surface and frozen surface boundary conditions on the spatial distribution of compressible and incompressible strips observed in the two dimensional electron gas formed in a GaAs/AlGaAs heterostructure under quantum Hall effect regime. We have used semi classical Thomas-Fermi method for describing the many body problem along with the Poisson equation for electrostatics. We observe that the boundary conditions significantly effect the spatial distributions of the compressible and incompressible strips. 
Ahmet Emre Kavruk, Teoman \"Ozt\"urk, \"Ulfet Atav, H\"useyin Y\"uksel
cond-mat.mes-hall physics.comp-ph