4.0 Electrical conductivity in semiconductor

  Semi-conductor Devices and Electronics

4.1 Electrical conductivity in semiconductor

• The conductivity of the semiconductor is given by, $$\sigma = e\left( {{n_e}{\mu _e} + {n_h}{\mu _h}} \right)$$
• The conductivity of an intrinsic semiconductor is, $${\sigma _i} = {n_i}e\left( {{\mu _e} + {\mu _h}} \right)$$
• The conductivity of $n$-type semiconductor is, $${\sigma _n} = e{N_d}{\mu _e}$$
• The conductivity of $p$-type semiconductor is, $${\sigma _p} = e{N_a}{\mu _h}$$

where,
${{\mu _e}}$: Mobility of an electron
${{\mu _h}}$: Mobility of hole
$n_e$: Electron densities
$N_d$: Density of donor atoms
$N_a$: Density of acceptor atoms
$e = 1.60 \times {10^{ - 19}}\;C$: Electronic charge