Plateau transitions in fractional quantum Hall liquids

Abstract:

Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the tunneling conductance G. We find a selection rule for the sequence which begins with a conductance G=m/(mp±1) (m: integer, p: even integer) in units of e²/h. The shot-noise spectrum as well as the scaling behavior of the tunneling current is calculated explicitly.