1. Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
- Author
-
Yang, Ao, Fang, Zixi, Zhang, Kai, and Fang, Chen
- Subjects
Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed Matter - Disordered Systems and Neural Networks ,Condensed Matter - Quantum Gases ,Quantum Physics - Abstract
It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of geometry-dependent skin effect eliminates this barrier such that even an infinitesimal impurity potential can confine bound states in this type of non-Hermitian systems. By examining bound states around Bloch saddle points, we find that non-Hermiticity can disrupt the isotropy of bound states, resulting in concave dumbbell-shaped bound states. Our work reveals a geometry transition of bound state between concavity and convexity in high-dimensional non-Hermitian systems., Comment: 14 pages, 4 figures
- Published
- 2024