Quantum scars and caustics in Majorana billiards

R. Johanna Zijderveld*, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We demonstrate that the classical dynamics influence the localization behaviour of Majorana wavefunctions in Majorana billiards. By using a connection between Majorana wavefunctions and eigenfunctions of a normal state Hamiltonian, we show that Majorana wavefunctions in both p-wave and s-wave topological superconductors inherit the properties of the underlying normal state eigenfunctions. As an example, we demonstrate that Majorana wavefunctions in topological superconductors with chaotic shapes feature quantum scarring. Furthermore, we show a way to manipulate a localized Majorana wavefunction by altering the underlying classical dynamics using a local potential away from the localization region. Finally, in the presence of chiral symmetry breaking, we find that the Majorana wavefunction in convex-shaped Majorana billiards exhibits caustics formation, reminiscent of a normal state system with magnetic field.
Original languageEnglish
Article number147
Number of pages19
JournalSciPost Physics
Volume17
Issue number5
DOIs
Publication statusPublished - 2024

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