For ionic semiconductor, GaAs (Eg=1.42 eV, ni ~10^6/cm3) following mass action law np = ni^2, if p = 1, then the maximum value of n is the square of ni which is ~10^12.

I would like to know, due to defects (vacancies or interstetials etc) is there any possibility that one can realize n = 10^15 /cm3 (which is much higher than square of ni, i.e. 10^12) for a non-degenerate case?

Thanks in advance.

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