Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N17: Topology in New Settings: Non-Hermitian and Beyond
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: M100H
Sponsoring
Unit:
DCMP
Chair: Saavanth Velury, University of Illinois at Urbana-Champaign
Abstract: N17.00010 : Model Non-Hermitian Topological Operators Without Skin Effect*
1:18 PM–1:30 PM
Presenter:
Daniel J Salib
(Lehigh University)
Authors:
Daniel J Salib
(Lehigh University)
Bitan Roy
(Lehigh University)
Sanjib Kumar Das
(Lehigh University)
We propose a general principle of constructing non-Hermitian (NH) operators for insulating and gapless topological phases in any dimension (d) that over an extended NH parameter regime feature real eigenvalues and zero-energy topological boundary modes, when in particular their Hermitian cousins are also topological. However, the topological zero modes disappear when the NH operators accommodate complex eigenvalues. These systems are always devoid of NH skin effects, thereby extending the realm of the bulk-boundary correspondence to NH systems in terms of solely the left or right zero-energy boundary localized eigenmodes. We showcase these general and robust outcomes for NH topological insulators in d=1,2 and 3, encompassing their higher-order incarnations, as well as for NH topological Dirac, Weyl and nodal-loop semimetals. Possible realizations of proposed NH topological phases in designer materials, optical lattices and classical metamaterials are highlighted.
* D.J.S. was supported by NSF CAREER Grant No. DMR- 2238679 of B.R. and S.K.D. was supported by the Startup Grant of B.R. from Lehigh University.
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