Universal non-Hermitian skin effect in two and higher dimensions
Chinese Academy of Sciences · Institute of Physics · +4 more institutions
Abstract
Skin effect, experimentally discovered in one dimension, describes the physical phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian Hamiltonian are localized at the end(s) of the chain. Here in two and higher dimensions, we establish a theorem that the skin effect exists, if and only if periodic-boundary spectrum of the Hamiltonian covers a finite area on the complex plane. This theorem establishes the universality of the effect, because the above condition is satisfied in almost every generic non-Hermitian Hamiltonian, and, unlike in one dimension, is compatible with all point-group symmetries. We propose two new types of skin effect in two and higher dimensions: the…
Citation impact
- FWCI
- 55.19
- Percentile
- 100%
- References
- 103
Authors
3- KZKai ZhangCorresponding
Chinese Academy of Sciences, Institute of Physics, University of Chinese Academy of Sciences
- ZYZhesen Yang
Chinese Academy of Sciences, Kavli Institute for Theoretical Sciences
- CFChen Fang
Chinese Academy of Sciences, Kavli Institute for Theoretical Sciences, Songshan Lake Materials Laboratory, FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic, Institute of Physics
Topics & keywords
- Hermitian matrix
- Skin effect
- Hamiltonian (control theory)
- Universality (dynamical systems)
- Corollary
- Physics
- Eigenvalues and eigenvectors
- Homogeneous space