Barrier penetration and Klein paradox
Ru-keng Su C, G. G. Siu, Xiu Chou
Particle penetration through a square potential barrier is studied with the Dirac equation and relativistic tunnelling occurs in an overcritical potential. Relations between this phenomenon and the Klein paradox are discussed. However, the relativistic correction to mesoscopic conduction, the Landauer formula, is negligible and relativistic tunnelling would not occur in solid-state physics owing to the barrier height never reaching the overcritical region. Relativistic tunnelling is essentially a high-energy phenomenon.
Journal of Physics A Mathematical and General•Feb 21, 1993•83 citations