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

Maksim Parfenov; Igor Burmistrov

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arXiv · 2502.21230

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

Maksim Parfenov·Igor Burmistrov

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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.

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Maksim Parfenov, Igor Burmistrov. 2025-02-28. Bulk-edge correspondence at the spin-to-integer quantum Hall effect crossover in topological superconductors. https://arxiv.org/abs/2502.21230

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