Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
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A coefficient-based approach derives analytical phase boundaries and higher winding numbers in 1D non-Hermitian topological superconductors, verified via open-boundary spectra and disorder stability.
Structural disorder with site-separation penalties enhances 2D topological phases to strong disorder but harms 3D phases; spectral localizer using time-reversal symmetry enables Z2 diagnosis despite spin-frame scrambling.
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Emergence of Hermitian topology from non-Hermitian knots
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.