Phase Diagram of Bilayer Composite Fermion States

Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802(February 1, 2008)We construct a class of composite fermion states for bilayer electron systems in a strong transversemagnetic field, and determine quantitatively the phase diagram as a function of the layer separation,layer thickness, and electron density. We find, in general, that there are several transitions, andthat the incompressible phases are separated by compressible ones. The paired states of compositefermions, described by Pfaffian wave functions, are also considered.71.10.Pm,73.43.-fI. INTRODUCTION