Quantum scars and caustics in Majorana billiards
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 topolo...
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2024-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.17.5.147 |
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| author | R. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli |
| author_facet | R. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli |
| author_sort | R. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ac9c2f6e71f446f985b12afb1f76aef5 |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-ac9c2f6e71f446f985b12afb1f76aef52024-11-28T14:25:55ZengSciPostSciPost Physics2542-46532024-11-0117514710.21468/SciPostPhys.17.5.147Quantum scars and caustics in Majorana billiardsR. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç AdagideliWe 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.https://scipost.org/SciPostPhys.17.5.147 |
| spellingShingle | R. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli Quantum scars and caustics in Majorana billiards SciPost Physics |
| title | Quantum scars and caustics in Majorana billiards |
| title_full | Quantum scars and caustics in Majorana billiards |
| title_fullStr | Quantum scars and caustics in Majorana billiards |
| title_full_unstemmed | Quantum scars and caustics in Majorana billiards |
| title_short | Quantum scars and caustics in Majorana billiards |
| title_sort | quantum scars and caustics in majorana billiards |
| url | https://scipost.org/SciPostPhys.17.5.147 |
| work_keys_str_mv | AT rjohannazijderveldamertbozkurtmichaelwimmerinancadagideli quantumscarsandcausticsinmajoranabilliards |