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

Ken-ichiro Imura·Naoto Nagaosa
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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 QPT model, it is found that LRCI further reduces $G(T)$ below a crossover temperature $Λ_w$. In ET model, on the other hand, there is a temeperature region where LRCI enhances $G(T)$, and nonmonotonic temperature dependence is possible.

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Ken-ichiro Imura, Naoto Nagaosa. 1997-10-31. Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges. https://doi.org/10.1016/s0038-1098(97)00270-6

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