Dislocation non-Hermitian skin effect
File(s)PhysRevB.104.L161106.pdf (1.25 MB)
Published version
Author(s)
Schindler, Frank
Prem, Abhinav
Type
Journal Article
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.
Date Issued
2021-10-08
Date Acceptance
2021-09-28
Citation
Physical Review B, 2021, 104 (16), pp.1-6
ISSN
2469-9950
Publisher
American Physical Society (APS)
Start Page
1
End Page
6
Journal / Book Title
Physical Review B
Volume
104
Issue
16
Copyright Statement
©2021 American Physical Society
Identifier
http://dx.doi.org/10.1103/physrevb.104.l161106
Publication Status
Published
Article Number
L161106
Date Publish Online
2021-10-08