
A semiconductor is a material whose electrical conductivity lies between that of a conductor and an insulator.A semiconductor is a material that can conduct electricity not always, but only when heated or illuminated. Imagine a drawbridge that is usually raised, but when a signal flag is raised (energy is given), it lowers and allows cars to pass. In a semiconductor, electrons sit in 'locked' places, but with a little heat or light, they gain enough strength to break free and turn the material into a conductor.
Semiconductor properties were first observed by Michael Faraday in 1833 in silver sulfide. In 1874, Karl Braun discovered the rectifying effect at a metal-semiconductor contact. The decisive breakthrough came in 1947 with the invention of the transistor at Bell Labs (Bardeen, Brattain, Shockley). Shuji Nakamura in 1993 made a breakthrough by creating a bright blue LED based on gallium nitride, opening the way to white LED lighting. For this achievement he was awarded the Nobel Prize.
The conductivity of a semiconductor is determined by the concentration and mobility of free charge carriers. In an intrinsic semiconductor at T>0, electrons transition from the valence band to the conduction band, leaving holes. The carrier concentration obeys the law of mass action: n_i^2 = N_c N_v exp(-E_g/kT). When doped, donors create levels near the conduction band, facilitating thermal ionization. The principle of operation of the p-n junction, the basis of diodes and transistors, relies on diffusion and drift of carriers in an electric field. An important role is played by Coulomb's law, which determines potential barriers, and the Schrödinger equation, which describes the wave functions of electrons in a periodic potential.
Your smartphone and computer work thanks to billions of tiny semiconductor switches—transistors. If they were made of ordinary conductors, the phone would heat up like an iron and discharge in seconds!
| σ_total | variable | total conductivity — electrical conductivity siemens per metre |
| σ_cond | variable | conductivity from condensed (coherent) carriers — electrical conductivity siemens per metre |
| σ_fluct | variable | conductivity from fluctuating (incoherent) carriers — electrical conductivity siemens per metre |
















