Mobility and Conductivity in Semiconductors

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When an electric field [E] is applied to a semiconductor, the free electrons and holes are drifted in opposite direction of the electric field., due to this a current is produced called drift current Vd.

Vd ∞ E

Vd  = μ E

Where μ is called mobility.

Mobility is defined as the ratio of drift velocity to the applied electric field.

The total current in a semiconductor I = Ie + Ih

I = neμe   EA + peμh EA

I = eEA  [ nμe  + pμh ]

Where,  μe  – mobility of the free electrons (n)

μh   – mobility of the holes (p)

In the case of intrinsic semiconductor, Number of free electrons [n] in the conduction band is equal to the number of holes [p] in the valence band.

∴ n = p = ni [intrinsic charge carrier concentration]

I = eEA  [ni μe  + ni μh ]

I = ni  eEA [ μe  + μh ]

The electrical conductivity of the intrinisic semiconductor is due to drifting action of electrons and holes is given by,

σi = ni  e[ μe  + μh ]

The electrical conductivity of the extrinsic semiconductors

σN = nN eμe

and                                                     σp = np eμh

Read More Topics
Conduction in Semiconductors
Carrier concentration in metals
Energy distribution of electrons in metals
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