TY - JOUR
T1 - Quantum scars and caustics in Majorana billiards
AU - Zijderveld, R. Johanna
AU - Bozkurt, A. Mert
AU - Wimmer, Michael
AU - Adagideli, İnanç
PY - 2024
Y1 - 2024
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85210909666&partnerID=8YFLogxK
U2 - 10.21468/SciPostPhys.17.5.147
DO - 10.21468/SciPostPhys.17.5.147
M3 - Article
AN - SCOPUS:85210909666
SN - 2542-4653
VL - 17
JO - SciPost Physics
JF - SciPost Physics
IS - 5
M1 - 147
ER -