Magnetic Flux Response of Non-Hermitian Topological Phases

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.

10 pg main text + 19 pg appendix, 6 + 5 figures

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Cited by in corpus (8)

• Topological Non-Hermitian skin effect
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Universal platform of point-gap topological phases from topological materials
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Non-Hermitian Hopf insulators
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices