We have shown that multiple cooling-heating temperature cycles and the
application of external pressure led to persistent changes of the sheet
electron density and the mobility in low dimensional CdTe/CdMgTe quantum
structures grown on GaAs substrates. This process was of minor
importance if a difference between the relative variation of the lattice
constant of the II-VI material and the GaAs substrate induced by
external fields (hydrostatic pressure and temperature) was smaller than
about 0.06%.