Field emission with relativistic effects in a magnetic field
Serhii Lebedynskyi, Roman Kholodov
TL;DR
This paper investigates how relativistic effects and external magnetic fields influence electron tunneling in field emission, generalizing the Fowler-Nordheim equation to include Lorentz contraction effects.
Contribution
It introduces a relativistic generalization of the Fowler-Nordheim equation and analyzes the magnetic field's impact on transmission coefficients in field emission.
Findings
Lorentz contraction affects the potential barrier at the metal-vacuum interface.
Magnetic field influence is significant when cB < E.
Relativistic effects modify the transmission coefficient calculations.
Abstract
The work concerns relativistic effects and the influence of an external magnetic field on the transmission coefficient. The Fowler-Nordheim equation has been relativistically generalized and effect of the Lorentz contraction of a potential barrier at the metal-vacuum interface has been found. Influence of the magnetic field parallel to a metal surface on the transmission coefficient is taken into account when cB < E.
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