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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Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.
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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.
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Non-Hermitian Landau Levels
Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.