We study the edge states of fractional quantum Hall liquid at bulk filling factor ν = 2/(2p + χ) with p being an even integer and χ = ±1. We describe the transition from a conductance plateau G = νG0 = νe2/h to another plateau G = G0/(p + χ) in terms of chiral Tomonaga-Luttinger liquid theory. It is found that the fractional charge q which appears in the classical shot noise formula SI = 2q<Ib> is q = e/(2p + χ) on the conductance plateau at G = νG0 whereas on the plateau at G = G0/(p + χ) it is given by q = e/(p + χ). For p = 2 and χ = -1 an alternative hierarchy construction is also discussed to explain the suppressed shot noise experiment at bulk filling factor ν = 2/3.
ASJC Scopus subject areas
- Physics and Astronomy(all)