Question:
How is the behavior of resitivity in weakly-disordered metals at low temperatures different in 3 dimensions versus one and two dimensions?
Solution:
The answer is:
In one and two dimensions weak scattering can lead to localization effects and an upturn in the resistivity at low temperatures.
I just vaguely recall this has to do with random walk. For 1 or 2 dimensional random walk they return to origin almost surely and therefore there are paths inference, but for 3 dimension that does not happen.
How is the behavior of resitivity in weakly-disordered metals at low temperatures different in 3 dimensions versus one and two dimensions?
Solution:
The answer is:
In one and two dimensions weak scattering can lead to localization effects and an upturn in the resistivity at low temperatures.
I just vaguely recall this has to do with random walk. For 1 or 2 dimensional random walk they return to origin almost surely and therefore there are paths inference, but for 3 dimension that does not happen.
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