01986nas a2200121 4500008004100000245007100041210006900112520151900181100002401700700002401724700002001748856009601768 2024 eng d00aEdge transport in Haldane-like models with quasi-periodic disorder0 aEdge transport in Haldanelike models with quasiperiodic disorder3 a
We consider Haldane-like 2d topological insulators on the cylinder, in the presence of weak quasi-periodic disorder. We prove that, at large distances, the boundary correlations agree with the correlations of a renormalized, translation-invariant, massless relativistic model in 1+1 dimensions, multiplied by non-universal oscillatory factors, incommensurate with the lattice spacing. Furthermore, we compute the edge conductance and the edge susceptibility, starting from Kubo formula. We obtain explicit expressions for these response functions, completely determined by the renormalized Fermi velocity of the edge modes. In particular, we prove the quantization of the edge conductance, and the non-universality of the susceptibility. The proof relies on multiscale analysis and rigorous renormalization group methods for quasi-periodic systems, and on lattice Ward identities.
1 aCaragiulo, Fabrizio1 aMastropietro, Vieri1 aPorta, Marcello uhttps://www.math.sissa.it/publication/edge-transport-haldane-models-quasi-periodic-disorder