I have studied the integer quantum hall effect mainly from David Tong's notes and i understand how the ## \rho_{xy}## is quantized in terms of the chern number. What I don't understand is(adsbygoogle = window.adsbygoogle || []).push({});

- how the chern numbers relate to the number of filled Landau levels though.

- I also don't understand the behaviour of ##\rho_{xx} ## and why it spikes each time ## \rho_{xy}## jumps.

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# I Longitudinal resistivity in Integer Quantum Hall Effect

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