Hall coefficient in semiconductors (for moderate magnetic fields)

Description

The Hall effect is the production of a voltage difference (the Hall voltage) across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current. The Hall coefficient is defined as the ratio of the induced electric field to the product of the current density and the applied magnetic field. It is a characteristic of the material from which the conductor is made, since its value depends on the type, number, and properties of the charge carriers that constitute the current. When a current-carrying semiconductor is kept in a magnetic field, the charge carriers of the semiconductor experience a force in a direction perpendicular to both the magnetic field and the current. At equilibrium, a voltage appears at the semiconductor edges.

Related formulas

Variables

RHHall coefficient (m3/C)
pHole concentration (m-3)
μhHole mobility (m2/(V*s))
nElectron concentration (m-3)
μeElectron mobility (m2/(V*s))
eatomic unit of charge