What is defined of Hall effect in metals?

The Hall effect in metals refers to the generation of a voltage difference (the Hall voltage) across a conductor when it is placed in a magnetic field perpendicular to the direction of electric current. This phenomenon occurs due to the Lorentz force acting on charge carriers, causing them to accumulate on one side of the conductor, resulting in a transverse electric field. The Hall effect is used in various applications, including magnetic field sensing and measuring charge carrier density.