Anomalous tunneling conductances of a spin singlet \nu=2/3 edge states: Interplay of Zeeman splitting and Long Range Coulomb Interaction

TL;DR

This paper investigates how Zeeman splitting and long-range Coulomb interactions influence tunneling conductance in spin singlet ν=2/3 quantum Hall edge states, revealing novel spin excitations and anomalous conductance behaviors.

Contribution

It introduces a detailed analysis of the interplay between Zeeman splitting and Coulomb interactions, uncovering new spin excitations affecting tunneling conductance in ν=2/3 edge states.

Findings

Identification of novel spin excitations due to interactions.

Anomalous exponents in charge and spin tunneling conductances.

Dependence of conductance enhancement or suppression on scattering and tunneling mechanisms.

Abstract

The point contact tunneling conductance between edges of the spin singlet $\nu=2/3,\hat{K}=(3/3/0)$ quantum Hall states is studied both in the quasiparticle tunneling picture and in the electron tunneling picture. Due to the interplay of Zeeman splitting and the long range Coulomb interaction between edges of opposite chirality novel spin excitations emerge, and their effect is characterized by anomalous exponents of the charge and spin tunneling conductances in various temperature ranges. Depending on the kinds of scatterings at the point contact and the tunneling mechanism the anomalous interaction in spin sector may enhance or suppress the tunneling conductances. The effects of novel spin excitation are also relevant to the recent NMR experiments on quantum Hall edges.