Symmetry-Protected Localized States at Defects in Non-Hermitian Systems

dc.contributor.authorWu, Ya-Jie
dc.contributor.authorHou, Junpeng
dc.contributor.utdAuthorWu, Ya-Jie
dc.contributor.utdAuthorHou, Junpeng
dc.date.accessioned2020-03-31T22:52:58Z
dc.date.available2020-03-31T22:52:58Z
dc.date.issued2019-06-12
dc.description.abstractUnderstanding how local potentials affect system eigenmodes is crucial for experimental studies of nontrivial bulk topology. Recent studies have discovered many exotic and highly nontrivial topological states in non-Hermitian systems. As such, it would be interesting to see how non-Hermitian systems respond to local perturbations. In this work we consider chiral and particle-hole-symmetric non-Hermitian systems on a bipartite lattice, including the Su-Schrieer-Heeger model and photonic graphene, and find that a disordered local potential could induce bound states evolving from the bulk. When the local potential on a single site becomes infinite, which renders a lattice vacancy, chiral-symmetry-protected zero-energy mode and particle-hole-symmetry-protected bound states with purely imaginary eigenvalues emerge near the vacancy. These modes are robust against any symmetry-preserved perturbations. Our work generalizes the symmetry-protected localized states to non-Hermitian systems. © 2019 American Physical Society.
dc.description.departmentErik Jonsson School of Engineering and Computer Science
dc.description.sponsorshipNSFC through Grant No. 11504285, the Scientific Research Program Funded by Natural Science Basic Research Plan in Shaanxi Province of China (Programs No. 2018JQ1058 and No. 2019JM-001), the Scientific Research Program Funded by Shaanxi Provincial Education Department through Grant No. 18JK0397, and a scholarship from China Scholarship Council (Program No. 201708615072).
dc.identifier.bibliographicCitationWu, Y. -J, and J. Hou. 2019. "Symmetry-protected localized states at defects in non-Hermitian systems." Physical Review A 99(6): art. 062107, doi: 10.1103/PhysRevA.99.062107
dc.identifier.issn2469-9926
dc.identifier.issue6
dc.identifier.urihttp://dx.doi.org/10.1103/PhysRevA.99.062107
dc.identifier.urihttps://hdl.handle.net/10735.1/7735
dc.identifier.volume99
dc.language.isoen
dc.publisherAmerican Physical Society
dc.rights©2019 American Physical Society
dc.source.journalPhysical Review A
dc.subjectEigenvalues
dc.subjectEigenfunctions
dc.subjectParticles (Nuclear physics)—Chirality
dc.subjectTopology
dc.subjectEigenfunctions
dc.subjectHermitian structures
dc.titleSymmetry-Protected Localized States at Defects in Non-Hermitian Systems
dc.type.genrearticle

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
JECS-2061-261114.68.pdf
Size:
1.93 MB
Format:
Adobe Portable Document Format
Description:
Article

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
American Physical Society.pdf
Size:
290.33 KB
Format:
Adobe Portable Document Format
Description: