Non-Hermitian Landau Levels

• URL: http://arxiv.org/abs/2605.23613v1
• Date: Fri, 22 May 2026 13:20:49 GMT
• Title: Non-Hermitian Landau Levels
• Abstract summary: We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field.<n>We derive their discretely spaced, highly degenerate complex spectra and biorthogonal eigenstates, and clarify the role of non-unitary gauge transformations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field. In the symmetric gauge, we derive their discretely spaced, highly degenerate complex spectra and biorthogonal eigenstates, and clarify the role of non-unitary gauge transformations. A non-Hermitian Harper-Hofstadter lattice model confirms the continuum theory and reveals Gaussian wave packet dynamics governed by semiclassical equations with a complex Lorentz force, pointing to possible experimental realizations of complex magnetic fields.

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