Minimal Zeeman field requirement for a topological transition in superconductors

Kim Pöyhönen*, Daniel Varjas, Michael Wimmer, Anton R. Akhmerov

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
27 Downloads (Pure)


Platforms for creating Majorana quasiparticles rely on superconductivity and breaking of time-reversal symmetry. By studying continuous deformations to known trivial states, we find that the relationship between superconducting pairing and time reversal breaking imposes rigorous bounds on the topology of the system. Applying these bounds to s-wave systems with a Zeeman field, we conclude that a topological phase transition requires that the Zeeman energy at least locally exceed the superconducting pairing by the energy gap of the full Hamiltonian. Our results are independent of the geometry and dimensionality of the system.

Original languageEnglish
Article number108
Number of pages9
JournalSciPost Physics
Issue number5
Publication statusPublished - 2021


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