New scaling of child-langmuir law in the quantum regime.

@article{Ang2003NewSO,
  title={New scaling of child-langmuir law in the quantum regime.},
  author={L. K. Ang and Thomas J. T. Kwan and Yue Ying Lau},
  journal={Physical review letters},
  year={2003},
  volume={91 20},
  pages={208303}
}
This paper presents a consistent quantum mechanical model of Child-Langmuir (CL) law, including electron exchange-correlation interaction, electrode's surface curvature, and finite emitter area. The classical value of the CL law is increased by a larger factor due to the electron tunneling through the space-charge potential, and the electron exchange-correlation interaction becomes important when the applied gap voltage Vg and the gap spacing D are, respectively, on the order of Hartree energy… CONTINUE READING