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Magnetic Flux Response of Non-Hermitian Topological Phases
by M. Michael Denner and Frank Schindler
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Marco Michael Denner · Frank Schindler |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202209_00040v2 (pdf) |
| Date accepted: | 2023-02-15 |
| Date submitted: | 2023-01-09 16:32 |
| Submitted by: | Denner, Marco Michael |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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
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
Published as SciPost Phys. 14, 107 (2023)
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I would appreciate the response and the corresponding revision of the manuscript. The authors have satisfactorily addressed my concerns and appropriately revised the manuscript. Now, I would like to unreservedly recommend publication of this manuscript in SciPost Physics.