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