SciPost Submission Page
Magnetic Flux Response of Non-Hermitian Topological Phases
by M. Michael Denner and Frank Schindler
This Submission thread is now published as
Submission summary
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
|
| Approach: |
Theoretical |
Abstract
We derive the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions. In two spatial dimensions, we identify the necessary and sufficient conditions for a flux skin effect that localizes an extensive number of in-gap modes at a flux core. In three dimensions, we furthermore establish the existence of: a flux spectral jump, where flux tube insertion fills up the entire point gap only at a single parallel crystal momentum; a higher-order flux skin effect, which occurs at the ends of flux tubes in presence of pseudo-inversion symmetry; and a flux Majorana mode that represents a spectrally isolated mid-gap state in the complex energy plane. We uniquely associate each non-Hermitian symmetry class with intrinsic point gap topology with one of these cases or a trivial flux response, and discuss possible experimental realizations.
Author comments upon resubmission
We thank the Reviewers again for taking the time to closely look at our manuscript and providing us with important feedback to improve our work in this new version.
List of changes
- Added clarification of the NH dispersion in the flux spectral jump in Sec. I
- Added explanation of the SIBC setup considered for flux responses in Sec. II C
- Added clarification of the spectral jump occuring at a single momentum in Sec. IV
- Added statement discussing the observability of the flux spectral jump under OBC in Sec. IV
- Added clarification that flux defects do not probe the Z nature of W3D in Sec. IV
- Added clarification that states appear at alternating ends of flux tubes for the EHH in Sec. V
- Added statement about the quantization of fluxes under OBC in the presence of inversion symmetry in footnote of Sec. V
- Added distinction of surface modes and flux response in the pseudospectrum in footnote of Sec. V
- Added clarification of the phase transition occuring when flux tubes are brought into proximity in footnote of Sec. V
- Added statement about flux tubes terminating inside samples in Sec. V
- Added clarification about the vortex size in NH superconductors in Sec. VII
- Added reference arXiv:2205.05106 in Sec. VII
- Added papers for effective magnetic fluxes in other metamaterials in Sec. VII
- Added paper titles to the reference list
- Added clarification that O considers all symmetry allowed perturbations in the relevant cases
- Corrected typos
- Added EHH classes away from E0 = 0 to Tab. II and III
