Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 10: Topology: Majorana Physics I
TT 10.11: Vortrag
Montag, 18. März 2024, 17:45–18:00, H 2053
Quantum scars and caustics in Majorana billiards — •Johanna Zijderveld1, Mert Bozkurt1,2, Michael Wimmer1,2, and Inanç Adagideli3,4 — 1Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands — 2QuTech, Delft University of Technology, 2600 GA Delft, The Netherlands — 3Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli-Tuzla, Istanbul, Turkey — 4MESA+ Institute for Nanotechnology, University of Twente, The Netherlands
Majorana billiards are finitely sized and arbitrarily shaped topological superconductors which feature fermion parity switches. We investigate the influence of the shape of a topological superconductor on the localization of Majorana wavefunctions. Examining both p-wave and s-wave topological superconductors, we confirm that Majorana wavefunction features shape-dependent effects such as quantum scarring and caustics from semiclassical physics. With chiral symmetry, we find a mapping between wavefunctions of a regular p2/2m Hamiltonian and Majorana wavefunctions, which offers insight into this existence of partially localized quantum scars in Majorana billiards. Furthermore, we examine how the Majorana wavefunction changes due to a local perturbation in a region of neglibible wavefunction amplitude. In topological superconductors without chiral symmetry, we observe that the convexity of the billiard determines caustic-like features in the Majorana wavefunctions.
Keywords: Quantum Scars; Majorana wavefunction