Tunneling of Bloch electrons through vacuum barrier

Author： Mazin I. I.  

Publisher： Edp Sciences

E-ISSN： 1286-4854|55|3|404-410

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.55, Iss.3, 2010-03, pp. : 404-410

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Abstract

Tunneling of Bloch electrons through a vacuum barrier introduces new physical effects in comparison with the textbook case of free(plane wave) electrons. For the latter, the exponentialdecay rate in the vacuumis minimal for electrons with the parallel component of momentum$\bm{k}_\parallel=0$, and the prefactor is defined by the electronmomentum component in the normal to the surface direction.However, the decay rate of Blochelectrons may be minimal at an arbitrary $\bm{k}_\parallel$("hot spots" ), and theprefactor is determined by the electron's group velocity,rather than by its quasimomentum. We illustrate this by first-principles calculations for (110) Pd surface.

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