Conductor with high electron mobility (mean free path)

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SUMMARY

The discussion centers on the search for solid materials with high electron mobility and large mean free paths, similar to copper or aluminum, while allowing conduction electrons to move freely in one dimension. Graphene is identified as a promising candidate due to its large mean free path and the ability to control electron movement with an electric field. However, its practical application is limited by lower conductivity compared to traditional conductors. The term "electrical conductivity anisotropic" is suggested as a relevant concept for further exploration in this context.

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FusionJim
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Hello,

I want to know whether there exists a solid material that would have a conductivity similar to say copper or aluminum but where the "free electrons" aka conduction electrons would be free to move in one dimension.

Imagine a rectangular sheet of such material, suppose we have an electron current through the material. This current travels down the sheet vertically from the upper edge to the lower , meanwhile in the other dimension (the horizontal plane) it can move freely from left to right or vice versa.
When I say freely I mean where each electron has a large mean free path so an applied electric or magnetic field could make the vertical current sweep horizontally fast.

In general I am asking whether there is any such practical material that is solid state and also a good conductor (excluding some rare materials in rare parameter ranges like at or close to absolute zero , quantum effects and such) that can have a large mean free path for conduction electrons so that the spatial location of current within such material could be controlled?

From what I have read graphene comes close with large mean free path for electrons and given how thin a monolayer of graphene is the electrons can be controlled by an applied E field , but graphene at least for now doesn't look practical , and its single layer conductivity is also much worse than that of known commercially used conductors.
Although maybe I am wrong.
Appreciate your input.
 
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Electrical conductivity anisotropic might be what you are looking for.
 

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