Abstract:
The longitudinal and Hall magnetoresistances are measured in the quantum Hall effect regime in the $n$-InGaAs/InAlAs heterostructures at temperatures of $T$ = (1.8–30) K in magnetic fields up to $B$ = 9 T. Temperature-induced transport in the region of the longitudinal resistance minima, corresponding to the plateau regions at Hall resistance, is investigated within the framework of the concept of hopping conductivity in a strongly localized electron system. The analysis of variable-range hopping conductivity in the region of the second, third, and fourth plateau of the quantum Hall effect provides the possibility of determining the localization length exponent.