Current from a nano-gap hyperbolic diode using shape-factors: Theory
Abstract
Quantum tunneling by field emission from nanoscale features or sharp field emission structures for which the anode-cathode gap is nanometers in scale (“nano diodes”) experience strong deviations from the planar image charge lowered tunneling barrier used in the Murphy and Good formulation of the Fowler-Nordheim equation. These deviations alter the prediction of total current from a curved surface. Modifications to the emission barrier are modeled using a hyperbolic (prolate spheroidal) geometry to determine the trajectories along which the Gamow factor in a WKB-like treatment is undertaken; a quadratic equivalent potential is determined, and a method of shape factors is used to evaluate the corrected total current from a protrusion or wedge geometry.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 08, 2017
- Source ID
- 10.1063/1.4997457
Entities
People
- D. Shiffler
- J. R. Harris
- John Petillo
- Kevin L. Jensen
- Martin Peckerar
Organizations
- Air Force Office of Scientific Research
- Air Force Research Laboratory
- Leidos
- United States Naval Research Laboratory
- University of Maryland