Gapped non-Hermitian systems exhibit topologically distinct spectral Riemann sheet configurations protected by energy gaps, formed by annihilating exceptional points across the Brillouin zone boundary.
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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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Spectral Riemann Sheet Topology of Gapped Non-Hermitian Systems
Gapped non-Hermitian systems exhibit topologically distinct spectral Riemann sheet configurations protected by energy gaps, formed by annihilating exceptional points across the Brillouin zone boundary.
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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.