Stefan Teufel: A slightly different look at the bulk-edge correspondence in quantum Hall systems скачать в хорошем качестве

Stefan Teufel: A slightly different look at the bulk-edge correspondence in quantum Hall systems

The bulk-edge correspondence of transport coefficients in quantum Hall systems is usually shown for systems with a (mobility) gap in the bulk and at zero temperature. I will present recent results showing equality of magnetization in the bulk and edge current in microscopic models without and with interaction between electrons. This equality holds at positive temperature and without assuming a (mobility) gap in the bulk, and is robust to perturbations near the edges. I then discuss how the equality of transport coefficients can be recovered from this form of bulk-edge correspondence, at least in some cases. My talk is based on joint work with Horia Cornean, Jonas Lampart, Massimo Moscolari, and Tom Wessel. One world IAMP mathematical physics seminar