Non-Hermitian skin effect of dislocations and its topological origin

Balaganchi A. Bhargava, Ion Cosma Fulga, Jeroen Van Den Brink, Ali G. Moghaddam

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Abstract

We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to density accumulation or depletion through the localization of an extensive number of states. These effects are shown by numerical simulations in a prototype lattice model and expose a different face of the non-Hermitian skin effect, by disentangling it from the need for boundaries. We identify a topological invariant responsible for the dislocation skin effect, which takes the form of a Z2 Hopf index that depends on the Burgers vector characterizing the dislocations. Remarkably, we find that this effect and its corresponding signature for defects in Hermitian systems fall outside of the known topological classification based on bulk-defect correspondence.

Original languageEnglish
Article numberL241402
JournalPhysical Review B
Volume104
Issue number24
DOIs
Publication statusPublished - Dec 2021
Publication typeA1 Journal article-refereed

Publication forum classification

  • Publication forum level 2

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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