Anatomy of skin modes and topology in non-Hermitian systems
Institute of High Performance Computing · Agency for Science, Technology and Research · +2 more institutions
Indexed inarxivcrossref
Abstract
Non-Hermitian systems can exhibit a counterintuitive phenomenon where a single local boundary or disorder modifies the entire spectrum, no matter how large the system is. In such cases, all bulk modes become localized ``skin'' modes, and usual bulk topological invariants no longer correctly predict topological boundary modes. Generalizing Laughlin's gauge argument to complex fluxes, the authors derive a geometrical approach for the exact determination of the skin-mode spectrum. They also devise a new topological criterion for non-Hermitian particle-hole symmetric Hamiltonians based on complex analysis.
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Authors
2Topics & keywords
Topics
Keywords
- Hermitian matrix
- Counterintuitive
- Boundary (topology)
- Physics
- Topology (electrical circuits)
- Spectrum (functional analysis)
- Theoretical physics
- Eigenvalues and eigenvectors
UN Sustainable Development Goals
- Affordable and clean energy
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