Electron transport in a resonant-tunneling diode under the effect of a transverse magnetic field: a quantum theory in the Wigner formalism

The Wigner formalism was used to study electron transport in the resonant-tunneling diode under the effects of an in-plane magnetic field. The transport equation is derived from the Wigner distribution function. A solution is derived for the function from which the charge distribution and tunnel current are calculated. The magnetic effects of electron tunneling are also presented.