Regensburg 2025 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 29: Poster II

HL 29.64: Poster

Tuesday, March 18, 2025, 18:00–20:00, P1

Quantum Mechanics on Periodically Deformed Manifolds — •Theresa Appel, Benjamin Schwager, and Jamal Berakdar — Martin-Luther-Universität Halle-Wittenberg, Halle (Saale), Deutschland

Quantum systems confined to low-dimensional geometries exhibit unique physical behavior due to curvature-induced potentials. The poster presents results on the dynamics of particles confined to periodically curved manifolds, which we term “deformation crystals”. The periodic spatial deformations directly influence the particle dynamics resulting in a band structure similar to other crystalline systems. We examine the transition from a free electron gas to a one-dimensional deformation crystal while analyzing the energy dispersion relation and symmetry-breaking effects. Furthermore, the behavior of different deformations is compared. The results reveal that the specific geometric deformations significantly influence the effective potential landscape and the band structure, thus opening up new opportunities for applications via deformation modulation of the underlying space.

Keywords: Quantum Mechanics under Constraints; Riemannian Manifolds; Quantum Wires