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The conjecture on absolutely continuous IQHE edge spectrum in a mobility gap
Let $\hat{H}$ be the edge Hamiltonian for an integer quantum Hall effect (IQHE) system, and let $\Delta$ be the mobility-gap energy interval. Absolutely continuous edge-spectrum co…
Conjecturesolvededge-states integer-quantum-hall-effect mobility-gapsarXiv posted 2 days ago
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The conjecture on disorder-selected topological phases without a spectral gap
Let $H_{\mathrm{BHZ}}^{\mathrm{disordered}}$ be the disordered Bernevig–Hughes–Zhang Hamiltonian obtained by adding an i.i.d. random potential whose values have probability measure…
Conjecturesolveddisordered-systems mobility-gaps topological-insulatorsarXiv posted 2 days ago

The conjecture on absolutely continuous IQHE edge spectrum in a mobility gap