TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.5.147
TI  - Quantum scars and caustics in Majorana billiards
PY  - 2024/11/28
UR  - https://scipost.org/SciPostPhys.17.5.147
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 5
SP  - 147
A1  - Zijderveld, Johanna
AU  - Bozkurt, A. Mert
AU  - Wimmer, Michael
AU  - Adagideli, Inanc
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.5.147,
	title={{Quantum scars and caustics in Majorana billiards}},
	author={R. Johanna Zijderveld and A. Mert Bozkurt and Michael Wimmer and İnanç Adagideli},
	journal={SciPost Phys.},
	volume={17},
	pages={147},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.5.147},
	url={https://scipost.org/10.21468/SciPostPhys.17.5.147},
}