Bulk-edge correspondence at the spin-to-integer quantum Hall effect crossover in topological superconductors

The spin and integer quantum Hall effects are two cousins of topological phase transitions in two-dimensional electronic systems. Their close relationship makes it possible to convert spin to integer quantum Hall effect by continuous increase in a symmetry breaking Zeeman magnetic field. We study microscopic and mesoscopic peculiarities of bulk-edge correspondence and a fate of massless edge and bulk topological (instantons) excitations at such a crossover in topological superconductors. We propose possible experimental verification of our predictions.