Temperature-dependent equilibration of spin orthogonal quantum Hall edge modes

Conductance of the edge modes and conductance across the copropagating 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 modes at fractional fillings 5/3 and 4/3. At the lowest temperature, the equilibration length of the outer unity conductance mode tends to saturate with the lowering filling fraction. by increasing the magnetic field B. We speculate this saturating nature of the equilibration length is arising from an interplay of the Coulomb correlation and spin orthogonality.