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Dislocation non-Hermitian skin effect
- Source :
- Physical Review B. 104
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an extensive number of Hamiltonian eigenstates localize at only one of the two dislocations. An example of such a phase are two-dimensional systems exhibiting weak non-Hermitian topology, which are adiabatically related to a decoupled stack of Hatano-Nelson chains. Moreover, we show that strong two-dimensional point-gap topology may also result in a dislocation response, even when there is no skin effect present with open boundary conditions. For both cases, we directly relate their bulk topology to a stable dislocation non-Hermitian skin effect. Finally, and in stark contrast to the Hermitian case, we find that gapless non-Hermitian systems hosting bulk exceptional points also give rise to a well-localized dislocation response.<br />6 pages, 4 figures, supplement included, accepted manuscript
- Subjects :
- Physics
Condensed Matter - Mesoscale and Nanoscale Physics
FOS: Physical sciences
Hermitian matrix
symbols.namesake
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
symbols
Periodic boundary conditions
Skin effect
Boundary value problem
Dislocation
Hamiltonian (quantum mechanics)
Eigenvalues and eigenvectors
Topology (chemistry)
Subjects
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....b845411ae38a6634a2c62293d0b50989