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

TL;DR

This paper explores how the bulk-edge correspondence evolves during the transition from spin to integer quantum Hall effects in topological superconductors, focusing on edge and bulk excitations.

Contribution

It investigates the continuous crossover between spin and integer quantum Hall effects in topological superconductors and analyzes the behavior of topological excitations and edge states.

Findings

Bulk-edge correspondence changes during the crossover.

Massless edge and bulk topological excitations behave peculiarly at the transition.

The study reveals the fate of topological instantons in the process.

Abstract

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 transform spin to integer quantum Hall effect in two-dimensional topological superconductors by continuous increase in a symmetry breaking Zeeman magnetic field. We study peculiarities of bulk-edge correspondence and a fate of massless edge and bulk topological (instantons) excitations at such the crossover.