Field Emission in a Magnetic Field
Abstract
An expression for the fieldemission current in a longitudinal magnetic field is derived in the zerotemperature limit. Two cases are considered, corresponding to constant Fermi energy (A) and constant electron density (B). In both cases the calculated current density contains an oscillatory contribution periodic in 1H, as well as a term which decreases as the square of the magnetic field. In case B, however, an oscillatory contribution appears that is absent in case A. Since the two oscillatory terms in case B differ in phase and their amplitudes depend on different powers of H, it should be possible to distinguish between cases A and B. The currentdecrease quadratic in H has its origin in the steady diamagnetism of the electron gas. Using accepted values of effective mass, Fermi energy, and work function, we find that for bismuth the predicted variations of the emission current with magnetic field should be readily observable.
 Publication:

Physical Review
 Pub Date:
 July 1963
 DOI:
 10.1103/PhysRev.131.166
 Bibcode:
 1963PhRv..131..166B