Temperature dependent equilibration of spin orthogonal quantum Hall edge modes

TL;DR

This study investigates how temperature affects the equilibration of spin orthogonal quantum Hall edge modes at various filling fractions, revealing differences in equilibration rates and length saturation behaviors.

Contribution

It provides the first detailed measurement of temperature-dependent equilibration rates of outer edge modes at multiple quantum Hall states, highlighting the role of Coulomb interactions and spin orthogonality.

Findings

Outer mode equilibration rate is higher at  and more temperature sensitive.

Equilibration length saturates at low temperature with decreasing filling fraction.

Saturation possibly due to Coulomb correlation and spin orthogonality interplay.

Abstract

Conductance of the edge modes as well as conductance across the co-propagating edge modes around the \nu = 4/3, 5/3 and 2 quantum Hall states are measured by individually exciting the modes. Temperature dependent equilibration rates of the outer unity conductance edge mode are presented for different filling fractions. We find that the equilibration rate of the outer unity conductance mode at \nu = 2 is higher and more temperature sensitive compared to the mode at fractional filling 5/3 and 4/3. At lowest temperature, equilibration length of the outer unity conductance mode tends to saturate with lowering filling fraction \nu by increasing magnetic field B. We speculate this saturating nature of equilibration length is arising from an interplay of Coulomb correlation and spin orthogonality.