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arXiv · 2605.23613

Non-Hermitian Landau Levels

Anton Montag·Tomoki Ozawa
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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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Anton Montag, Tomoki Ozawa. 2026-05-22. Non-Hermitian Landau Levels. https://arxiv.org/abs/2605.23613

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