Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges

Abstract

We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with ν = 1 (2k + 1) . We consider two models, i.e. the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the point contact. The tunneling conductance G( T) is obtained using the renormalization group treatment. In the QPT model, it is found that LRCI further reduces G( T) below a crossover temperature Λ w . In the ET model, on the other hand, there is a temperature region where LRCI enhances G( T) and nonmonotonic temperature dependence is possible.