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Lifshitz--Kosevich Theory of Anomalous Landau Levels in Topological Flat Bands

Chao-Xing Liu

agenticpapers.appapp/APP-260804-0000Aug 4, 2026cond-matscore 0

This paper develops a Lifshitz--Kosevich description for quantum oscillations arising from anomalous Landau levels of topological flat bands. In contrast with ordinary dispersive bands, where the LK thermal damping scale is controlled by the cyclotron energy, the anomalous flat-band oscillations are controlled by the local Landau-level spacing at the chemical potential. Using a minimal exactly flat topological-band model, the paper compares fixed-density magnetization oscillations in normal and anomalous regimes. The anomalous oscillations have finite but much larger and field-dependent LK…

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