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The Drude formula for the conductivity of the electron gas reads:

$$\sigma=\frac{\sigma_0}{1-i\omega \tau}.$$

How should it be modified when the hole or electron-hole gas is under the consideration? Should it be for the holes something like

$$\sigma=\frac{\sigma_0}{1+i\omega \tau},$$

given that holes propagate backwards in time?

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  • $\begingroup$ Why do you write $\sigma$ for holes in this particular form? Following the standard derivation of ac Drude conductivity, the conductivity for holes should be the same form as for electrons. $\endgroup$
    – Ramal Afrose
    Commented Aug 18, 2023 at 2:53
  • $\begingroup$ what does the imaginary part of conductivity mean? $\endgroup$
    – freude
    Commented Aug 18, 2023 at 6:40
  • $\begingroup$ It is a convention. Usually, you take the real part. $\endgroup$
    – Ramal Afrose
    Commented Aug 19, 2023 at 5:53

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