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Stanley514

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QUOTE:

"In 1929, physicist

These results were expanded to higher dimensions, and to other types of potentials, such as a linear step, a square barrier, etc. Many experiments in electron transport in

https://en.wikipedia.org/wiki/Klein_paradox

QUOTE:

However, the Dirac electrons found in graphene can tunnel through energy barriers regardless of their width and energy height; a phenomenon called Klein tunneling, described theoretically for 3D massive Dirac electrons by the Swedish physicist Oskar Klein in 1929. Graphene was the first material in which Klein tunneling was observed experimentally, as massive Dirac electrons required energy barriers too large to be observed.

http://www.springer.com/about+springer/media/springer+select?SGWID=0-11001-6-1292222-0

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QUESTION:

If electrons in graphene can tunnel throug energy barriers regardless of their width and energy height, does it mean they could tunnel through any distance? So, we could make a graphene tunnel diode with 1 km distance between cathode and anode and an empty space (air) in between?

"In 1929, physicist

__Oskar Klein____[1]__obtained a surprising result by applying the__Dirac equation__to the familiar problem of__electron scattering__from a potential barrier. In nonrelativistic quantum mechanics,__electron tunneling__into a barrier is observed, with exponential__damping__. However, Klein’s result showed that if the potential is of the order of the__electron mass__, [PLAIN]https://upload.wikimedia.org/math/5/e/a/5ead404e0410a13fa323d3e8de6b2ced.png, the barrier is nearly transparent. Moreover, as the potential approaches infinity, the reflection diminishes and the electron is always transmitted."These results were expanded to higher dimensions, and to other types of potentials, such as a linear step, a square barrier, etc. Many experiments in electron transport in

__graphene__rely on the Klein paradox for massless particles.https://en.wikipedia.org/wiki/Klein_paradox

QUOTE:

However, the Dirac electrons found in graphene can tunnel through energy barriers regardless of their width and energy height; a phenomenon called Klein tunneling, described theoretically for 3D massive Dirac electrons by the Swedish physicist Oskar Klein in 1929. Graphene was the first material in which Klein tunneling was observed experimentally, as massive Dirac electrons required energy barriers too large to be observed.

http://www.springer.com/about+springer/media/springer+select?SGWID=0-11001-6-1292222-0

-----------------------------------------------------------------------------

QUESTION:

If electrons in graphene can tunnel throug energy barriers regardless of their width and energy height, does it mean they could tunnel through any distance? So, we could make a graphene tunnel diode with 1 km distance between cathode and anode and an empty space (air) in between?

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