Corpus ID: 236469510

A new paradigm for bulk-edge correspondence

  title={A new paradigm for bulk-edge correspondence},
  author={Horia D. Cornean and Massimo Moscolari and Stefan Teufel},
We consider 2d random ergodic Schrödinger operators with long range magnetic fields on domains with and without boundary. By extending the gauge covariant magnetic perturbation theory to infinite domains with boundary, we prove that the celebrated bulk-edge correspondence is just a particular case of a much more general paradigm, which also includes the theory of diamagnetic currents and of Landau diamagnetism. More precisely, we obtain a formula which states that the derivative of a large… Expand

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