Novel Scaling Laws for the Langmuir-Blodgett Solutions in Cylindrical and Spherical Diodes

Y. B. Zhu, P. Zhang, A. Valfells, L. K. Ang, and Y. Y. Lau
Phys. Rev. Lett. 110, 265007 – Published 28 June 2013

Abstract

It is found that the Langmuir-Blodgett solutions for the space charge limited current density, for both cylindrical and spherical diodes, may be approximated by Japp=(4/9)ε0(2e/m)(Ec3/2/D) over a wide range of parameters, where Ec is the surface electric field on the cathode of the vacuum diode and D is the anode-cathode spacing. This dependence is valid whether Ra/Rc is greater than or less than unity, where Ra and Rc are, respectively, the anode and cathode radius. Minor empirical corrections to the above scaling yield fitting formulas that are accurate to within 5% for 3×105<Rc/Ra<500. An explanation of this scaling is given. An accurate transit time model yields the Langmuir-Blodgett solutions even in the Coulomb blockade regime for a nanogap, where the electron number may be in the single digits, and the transit time frequency is in the THz range.

  • Figure
  • Figure
  • Figure
  • Received 31 January 2013

DOI:https://doi.org/10.1103/PhysRevLett.110.265007

© 2013 American Physical Society

Authors & Affiliations

Y. B. Zhu1,4, P. Zhang2, A. Valfells3, L. K. Ang1,4,*, and Y. Y. Lau2

  • 1Engineering Product Development, Singapore University of Technology and Design, Singapore 138682, Singapore
  • 2Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109-2104, USA
  • 3School of Science and Engineering, Reykjavik University, Menntavegi 1, 101 Reykjavk, Iceland
  • 4School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore

  • *ricky_ang@sutd.edu.sg

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 110, Iss. 26 — 28 June 2013

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×