4
$\begingroup$

Why is the value of Hall conductance directly proportional to the number of edge channels in the sample?

$\endgroup$
1
  • $\begingroup$ I think the reason this has gotten no response is because it's unclear what the OP already knows. It seems like if the OP knows words like "edge channels" then they should know the answer already...? $\endgroup$
    – genneth
    Oct 21, 2012 at 18:29

1 Answer 1

6
$\begingroup$

In fact, the value of Hall conductance is NOT proportional to the number of edge channels in the sample. For example, $\sigma_{xy}=\frac13 \frac{e^2}{h}$ FQH state has one edge channel, and $\sigma_{xy}=\frac25 \frac{e^2}{h}$ FQH state has two edge channels.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.