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[![enter image description here][1]][1][Diagram[1]][1]

Let's focus on the longitudinal resistance, I have two confusions: 1. why it shows spike like feature every time the hall conductance jumps? 2. why its amplitude grows when the magnetic field grows?

  1. Why it shows spike like feature every time the hall conductance jumps?
  2. Why its amplitude grows when the magnetic field grows?

I find some literature says when the landauLandau level is half filled with electrons, the peak shows, why. Why? [1]: https://i.sstatic.net/I7UA8.png

[![enter image description here][1]][1]

Let's focus on the longitudinal resistance, I have two confusions: 1. why it shows spike like feature every time the hall conductance jumps? 2. why its amplitude grows when the magnetic field grows?

I find some literature says when the landau level is half filled with electrons, the peak shows, why? [1]: https://i.sstatic.net/I7UA8.png

[![Diagram[1]][1]

Let's focus on the longitudinal resistance, I have two confusions:

  1. Why it shows spike like feature every time the hall conductance jumps?
  2. Why its amplitude grows when the magnetic field grows?

I find some literature says when the Landau level is half filled with electrons, the peak shows. Why? [1]: https://i.sstatic.net/I7UA8.png

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Quantum Hall Effect: Why the spikes of the longitudinal resistance appear every time when Hall conductance jumps?

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