Spatial correlations of recombination radiation intensities of two-dimensional electrons under the conditions of the quantum Hall effect

Correlations have been studied between the recombination radiation intensities of a two-dimensional electron gas measured at different points of the sample with giant luminescence fluctuations in the quantum Hall effect regime. It has been found that the correlation of the radiation intensities measured under these conditions at different points of the sample separated by a distance of 1–3 mm is close to unity and disappeared in a threshold way with increasing temperature. It is shown that macroscopic spatial correlations also disappear if the electron system is artificially divided into two subsystems not connected with each other.