Quantum scars and caustics in Majorana billiards

Zijderveld, R. Johanna and Bozkurt, Ahmet Mert and Wimmer, Michael and Adagideli, İnanç (2024) Quantum scars and caustics in Majorana billiards. SciPost Physics, 17 (5). ISSN 2542-4653

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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.
Item Type: Article
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: İnanç Adagideli
Date Deposited: 11 Feb 2025 16:09
Last Modified: 11 Feb 2025 16:09
URI: https://research.sabanciuniv.edu/id/eprint/50947

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