Edge Current of FQHE and Aharanov-Bhom Type Phase

Abstract

When two non-identical quasi-particles in the Hall fluid encircle each other, relative AB type phase developes.As the quasi-particles advance towards the edge in a similar circular way, the developed current should have connection with this AB type phase through the {\it Shift} quantum number or Berry's topological phase. We have pointed out the role of relative AB type statistical phase in the development of edge current.In fact,the physics of the current flow in FQHE is sketched here from the topological point of phase transformation.