Magnetic Field Effect on an Electron Tunneling out of a Confining Plane

Abstract

The influence of a magnetic field on the tunneling of an electron out of a confining plane is studied by a path integral method. We map this 3-d problem on to a 1-d one, and find that the tunneling is strongly affected by the field. Without a perpendicular field the tunneling at zero temperature can be completely suppressed by a large parallel field, but in the small parallel field and low temperature limit the tunneling rate is finite. An explicit formula is obtained in this case. A quantitative explanation without fitting parameter to a recent experiment is provided.

latex, 11 pages

References in corpus (3)

• Tunneling into a two-dimensional electron system in a strong magnetic field
• Tunneling of a Quantized Vortex: Roles of Pinning and Dissipation
• Tunneling Conductance Between Parallel Two Dimensional Electron Systems

Cited by in corpus (6)

• Tunneling decay in a magnetic field
• Enhancement of tunneling from a correlated 2D electron system by a many-electron Mossbauer-type recoil in a magnetic field
• Tunneling from a correlated 2D electron system transverse to a magnetic field
• Tunneling transverse to a magnetic field, and how it occurs in correlated 2D electron systems
• Tunneling with the Lorentz Force and the Friction
• Macroscopic quantum tunneling of two coupled particles in the presence of a transverse magnetic field