Correspondence between Winding Numbers and Skin Modes in Non-Hermitian Systems
Chinese Academy of Sciences · Institute of Physics · +2 more institutions
Abstract
We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condition, and the presence of "skin modes" with open boundary conditions in non-Hermitian systems. We show that the nonzero winding with respect to any complex reference energy leads to the presence of skin modes, and vice versa. We also show that both the nonzero winding and the presence of skin modes share the common physical origin that is the nonvanishing current through the system.
Citation impact
- FWCI
- 65.21
- Percentile
- 100%
- References
- 71
Authors
3- KZKai ZhangCorresponding
Chinese Academy of Sciences, Institute of Physics, University of Chinese Academy of Sciences
- ZYZhesen Yang
Chinese Academy of Sciences, Institute of Physics, University of Chinese Academy of Sciences
- CFChen Fang
Chinese Academy of Sciences, Songshan Lake Materials Laboratory, Institute of Physics
Topics & keywords
- Hermitian matrix
- Winding number
- Physics
- Skin effect
- Quantum mechanics
- Mathematics
- Mathematical analysis
- Affordable and clean energy