Robust zero modes in non-Hermitian systems without global symmetries
- URL: http://arxiv.org/abs/2311.01566v1
- Date: Thu, 2 Nov 2023 19:41:14 GMT
- Title: Robust zero modes in non-Hermitian systems without global symmetries
- Authors: Jose D. H. Rivero, Courtney Fleming, Bingkun Qi, Liang Feng, Li Ge
- Abstract summary: We present an approach to achieve zero modes in lattice models that do not rely on any symmetry or topology of the bulk.
Such symmetry-free zero modes (SFZMs) are formed by attaching a single site or small cluster with zero mode(s) to the bulk, which serves as the "nucleus" that expands to the entire lattice.
- Score: 4.828619888735037
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present an approach to achieve zero modes in lattice models that do not
rely on any symmetry or topology of the bulk, which are robust against disorder
in the bulk of any type and strength. Such symmetry-free zero modes (SFZMs) are
formed by attaching a single site or small cluster with zero mode(s) to the
bulk, which serves as the "nucleus" that expands to the entire lattice. We
identify the requirements on the couplings between this boundary and the bulk,
which reveals that this approach is intrinsically non-Hermitian. We then
provide several examples with either an arbitrary or structured bulk, forming
spectrally embedded zero modes in the bulk continuum, midgap zero modes, and
even restoring the "zeroness" of coupling or disorder-shifted topological
corner states. Focusing on viable realizations using photonic lattices, we show
that the resulting SFZM can be observed as the single lasing mode when optical
gain is applied to the boundary.
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