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 $\nu =1/(2k+1)$. 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 ${\Lambda }_w$. In ET model, on the other hand, there is a temeperature region where LRCI enhances $G(T)$, and nonmonotonic temperature dependence is possible.

4 pages, latex file. Published in Solid State Commun.103, 663 (1997). There is a typo in the effective action for the ET model in the earlier version. $\nu$ should be replaced by $1/\nu$

References in corpus (6)

• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Resonant Tunneling Between Quantum Hall Edge States
• Inter-Edge interaction in the Quantum Hall Effect
• The effect of inter-edge Coulomb interactions on the transport between quantum Hall edge states
• Quantum Transport in Two-Channel Fractional Quantum Hall Edges
• Edge Modes in the Hierarchical Fractional Quantum Hall Liquids with Coulomb Interaction

Cited by in corpus (5)

• Coulomb interactions and delocalization in quantum Hall constrictions
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges
• Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-Abelions
• Resonant Raman scattering of quantum wire in strong magnetic field
• Anomalous tunneling conductances of a spin singlet ν=2/3 edge states: Interplay of Zeeman splitting and Long Range Coulomb Interaction