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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Numerical BdG simulations show Andreev-induced mixing of quantum Hall edge modes prohibited in clean electronic systems, spin orthogonality under Zeeman splitting, and complex mixing under Rashba SOC with in-plane field, plus symmetry-protected degeneracies in transmission.
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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.
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Spin and orbital mixing of edge states in a quantum Hall system proximitized by a superconductor
Numerical BdG simulations show Andreev-induced mixing of quantum Hall edge modes prohibited in clean electronic systems, spin orthogonality under Zeeman splitting, and complex mixing under Rashba SOC with in-plane field, plus symmetry-protected degeneracies in transmission.